ORIGINAL_ARTICLE
A comparative study between two numerical solutions of the Navier-Stokes equations
The present study aimed to investigate two numerical solutions of the Navier-Stokes equations. For this purpose, the mentioned flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function formulations. Solution algorithms and boundary conditions were presented for both formulations and the efficiency of each formulation was investigated by considering a two-dimensional low laminar flow around a square pile in a rectangular computational domain. Simulations under the same conditions were conducted to assess the difference between results generated by both formulations. Furthermore, the accuracy of the results was analyzed through a comparison of the results with the available reference data. In addition, computational efficiency of both formulations was investigated in term of computation time. The corresponding results indicated that both formulations are adequate to the case used in the present study. Moreover, performed simulations showed that solving the vorticity-stream function form of the flow equations is faster than solving the velocity-pressure form of those equations for simulating a two-dimensional laminar flow around a square pile.
http://jcarme.srttu.edu/article_580_7bddc5e735b7ff4e17b72d26cc2dc0cd.pdf
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1
12
10.22061/jcarme.2017.580
CFD
Laminar
Navier-Stokes
Square Pile
Velocity-Pressure
Vorticity-Stream function
M.
Alemi
m.alemi@fe.up.pt
true
1
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
LEAD_AUTHOR
R.
Maia
true
2
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
AUTHOR
[1] S. V. Patankar, and D. B. Spalding, “A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows,” Int. J. Heat Mass Transf., Vol. 15, No. 10, pp. 1787-1806, (1972).
1
[2] H. K. Versteeg, and W. Malalasekera, An Introduction to Computational Fluid Dynamics - The Finite Volume Method. Longman Scientific & Technical, (1995).
2
[3] A. J. Chorin, “Numerical solution of the Navier-Stokes equations,” J. Math. Comput.,Vol. 22, No. 104, pp. 745-762, (1968).
3
[4] J. Kim, and P. Moin, “Application of a Fractional-step method to incompressible Navier-Stokes equations,” J. Comput. Phys., Vol. 59, No. 2, pp. 308-323, (1985).
4
[5] P. Majander, and T. Siikonen, “A comparison of time integration methods in an unsteady low-Reynolds-number flow,” Int. J. Numer. Methods Fluids, Vol. 39, No. 5, pp. 361-390, (2002).
5
[6] J.-G. Liu, and C. Wang, “High order finite difference methods for unsteady incompressible flows in multi-connected domains,” J. Comput. Fluids, Vol. 33, No. 2, pp. 223-255, (2004).
6
[7] S. Biringen, and C.-Y. Chow, An introduction to computational fluid mechanics by example. John Wiley & Sons, (2011).
7
[8] A. Sohankar, C. Norberg, and L. Davidson, “Low-Reynolds-number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition,” Int. J. Numer. Methods Fluids, Vol. 26, No. 1, pp. 39-56, (1998).
8
[9] J. F. Ravoux, a. Nadim, and H. Haj-Hariri, “An embedding method for bluff body flows: interactions of two side-by-side cylinder wakes,” Theor. Comput. Fluid Dyn., Vol. 16, No. 6, pp. 433-466, (2003).
9
[10] A. Sharma, and V. Eswaran, “Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime,” Numer. Heat Transf. Part A Appl., Vol. 45, No. 3, pp. 247-269, (2004).
10
[11] B. S. Carmo, and J. R. Meneghini, “Numerical investigation of the flow around two circular cylinders in tandem,” J. Fluids Struct., Vol. 22, No. 6-7, pp. 979-988, (2006).
11
[12] E. Weinan, and L. Jian-Guo, “Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids,” J. Comput. Phys., Vol. 138, No. 1, pp. 57-82, (1997).
12
[13] T. Hou, and B. Wetton, “Stable fourth-order stream-function methods for incompressible flows with boundaries,” J. Comput. Math., Vol. 27, No. 4, pp. 441-458, (2009).
13
ORIGINAL_ARTICLE
Influence of heat generation on the phase transformations and impact responses of composite plates with embedded SMA wires
In the present research, in contrast to the available papers, not only the superelasticity but also the shape memory effects are taken into account in determination of the impact responses. At the same time, in addition to modifying Brinson’s model for the shape memory alloys (SMAs), to include new parameters and loading events, and Hertz contact law, distributions of the SMA phases are considered to be both localized and time-dependent. Furthermore, effects of the impact-induced heat generation and mechanical energy on the resulting histories of the martensite phase volume fraction, stress-strain, temperature, lateral deflection, and contact force are investigated. The generated heat in the SMA wires during the impact is determined through using a Helmholtz free energy function including the latent heat of the phase transformation. The resulting governing equations are solved by the finite element method. The nonlinear refined constitutive laws are solved through a return-mapping Newton-Raphson procedure. Results reveal that incorporation of the heat generation effects is significant in medium/high-velocity impacts or when the stress field is almost uniform.
http://jcarme.srttu.edu/article_581_7040e9095a589fa167983c48207fc9b2.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
13
26
10.22061/jcarme.2017.581
Shape memory alloy
Impact
Phase transformation
Heat generation
Hybrid composite plate
A.
Niknami
aniknami@gmail.com
true
1
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
AUTHOR
M.
Shariyat
shariyat@kntu.ac.ir
true
2
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
LEAD_AUTHOR
[1] S .M. R. Khalili, A. Shokuhfar, and F. Ashenai Ghasemi, “Effect of smart stiffening procedure on low-velocity impact response of smart structures”, J. Mater Proc. Tech., Vol. 190, No. 1-3, pp. 142-152, (2007).
1
[2] A. Shokuhfar, S. M. R. Khalili, F. Ashenai Ghasemi, K. Malekzadeh, and S. Raissi, “Analysis and optimization of smart hybrid composite plates subjected to low-velocity impact using the response surface methodology (RSM)”, Thin-Wall Struct, Vol. 46, No. 11, pp. 1204-1212, (2008).
2
[3] M. Meo, F. Marulo, M. Guida, and S. Russo, “Shape memory alloy hybrid composites for improved impact properties for aeronautical applications”, Compos. Struct., Vol. 95, pp.756-766, (2013).
3
[4] E. H. Kim, I. Lee, J. H. Roh, J. S. Bae, I. H. Choi, and K. N. Koo, “Effects of shape memory alloys on low velocity impact characteristics of composite plate”, Compos. Struct., Vol. 93, No. 11, pp. 2903-2909, (2011).
4
[5] J. H. Roh and J. H. Kim, “Adaptability of hybrid smart composite plate under low velocity impact”, Compos. Part B, Vol. 34, No. 2, pp.117-125, (2003).
5
[6] M. Shariyat and R. Jafari, “Nonlinear low-velocity impact response analysis of a radially preloaded two-directional-functionally graded circular plate: A refined contact stiffness approach”, Compos. Part B,Vol. 45, No .1, pp. 981-994, (2013).
6
[7] M. Shariyat and F. Farzan, “Nonlinear eccentric low-velocity impact analysis of a highly prestressed FGM rectangular plate, using a refined contact law”, Arch. Appl. Mech., Vol. 83, No .4, pp. 623-641, (2013).
7
[8] M. Shariyat and F. Farzan Nasab, “Low-velocity impact analysis of the hierarchical viscoelastic FGM plates, using an explicit shear-bending decomposition theory and the new DQ method”, Compos. Struct., Vol. 113, No.1, pp. 63-73, (2014).
8
[9] M. Shariyat and M. Moradi, “Enhanced algorithm for nonlinear impact of rectangular composite plates with SMA wires, accurately tracing the instantaneous and local phase changes”, Compos. Struct.,Vol. 108, pp. 834-847, (2014).
9
[10] M. Shariyat and S. H. Hosseini, “Accurate eccentric impact analysis of the preloaded SMA composite plates, based on a novel mixed-order hyperbolic global–local theory”, Compos. Struct.,Vol. 124, pp. 140-151, (2015).
10
[11] D. Helm and P. Haupt, “Shape memory behaviour: modeling within continuum thermo-mechanics”, Int. J. Solids Struct., Vol. 40, No. 4, pp. 827-849, (2003).
11
[12] H. Tobushi and Y. Shimeno, T. Hachisuka, and K. Tanaka, “Influence of strain rate on super elastic properties of TiNi shape memory alloy”, Mech. Mater., Vol. 30, No. 2, pp. 141-150, (1998).
12
[13] M. Kadkhodaei, RKND. Rajapakse, M. Mahzoon and M. Salimi, “Modeling of the cyclic thermo-mechanical response of SMA wires at different strain rates”, Smart Mater. Struct., Vol. 16, No. 6, pp. 2091-2101, (2007).
13
[14] P. C. C. Monteiro, M. A. Savi , T. A. Netto, and P. M. C. Pacheco, “A Phenomenological description of the thermo-mechanical coupling and the rate-dependent behavior of shape memory alloys”, J. Intell. Mater. Sys. Struct., Vol. 20, No. 14, pp. 1675-1687, (2009).
14
[15] C. Morin, Z. Moumni and W. Zaki, “A constitutive model for shape memory alloys accounting for thermomechanical coupling”, Int. J. Plast., Vol. 27, No. 5, pp. 748-767, (2011).
15
[16] J. H. Roh, “Thermomechanical Modeling of shape memory alloys with rate dependency on the pseudoelastic behavior”, Math. Prob. Eng., Vol. 20, No. 1, pp.41-65, (2014).
16
[17] J. Ignaczak and M. Ostoja-Starzewski, Thermoelasticity with finite wave speeds, Oxford University Press, United States, New York, (2010).
17
[18] M. R. Eslami, R. B. Hetnarski, J. Ignaczak , N. Noda, N. Sumi and Y. Tanigawa, Theory of elasticity and thermal stresses, Springer, (2013).
18
[19] L. C. Brinson, “One dimensional constitutive behavior shape memory alloys: Thermo-mechanical derivation with non-constant material functions and redefined martensite internal variable”, J. Intell. Mater Syst. Struct., Vol. 4, No. 2, pp. 229-242, (1993).
19
[20] D. C. Lagoudas, Shape Memory Alloys: Modeling and Engineering Applications, Springer, (2008).
20
[21] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells-Theory and Analysis, CRC Press, Boca Raton, (2003).
21
[22] V. Birman, “An approach to optimization of shape memory alloy hybrid composite plates subjected to low-velocity impact”, Composites: Part B, Vol. 27, No. 5, pp. 439-446, (1996).
22
[23] J. R. Turner, “Contact on a transversely isotropic half-space, or between two transversely isotropic bodies”, Int. J. Solids Struct., Vol. 16, No. 5, pp. 409-19, (1980).
23
[24] A. Niknami and M. Shariyat, “Refined constitutive, bridging, and contact laws for including effects of the impact-induced temperature rise in impact responses of composite plates with embedded SMA wires”, Thin-WalledStruct., Vol. 106, pp. 166-178, (2016).
24
[25] S. H. Yang and C.T. Sun, “Indentation law for composite laminates”, In: Composite materials: testing and design (6th conference), ASTM STP-787, pp. 425- 49, (1982).
25
[26] M. R. Eslami, Finite elements methods in mechanics, Springer, (2014).
26
[27] E. Serra and M. Bonaldi, “A finite element formulation for thermoelastic damping analysis”, Int. J. Numer. Meth. Eng., Vol. 78, No. 6, pp. 671-691, (2009).
27
[28] M. Shariyat and A. Niknami, “Impact analysis of strain-rate-dependent composite plates with SMA wires in thermal environments: Proposing refined coupled thermoelasticity, constitutive, and contact models”, Compos. Struct., Vol. 136, pp. 191-120, (2016).
28
[29] M. Shariyat and A. Niknami, “Layerwise numerical and experimental impact analysis of temperature-dependent transversely flexible composite plates with embedded SMA wires in thermal environments”, Compos. Struct., Vol. 153, pp. 692–703, (2016).
29
[30] R. Tiberkak, M. Bachene, S. Rechak and B. Necib, “Damage prediction in composite plates subjected to low velocity impact”, Compos. Struct., Vol. 83, No. 1, pp.73-82, (2008).
30
[31] L. C. Brinson and R. Lammering, “Finite element analysis of the behavior of shape memory alloys and their applications”, Int. J. Solids Struct., Vol. 30, No. 23, pp.3261-3280, (1993).
31
ORIGINAL_ARTICLE
Chemical reaction and thermal radiation effects on MHD micropolar fluid past a stretching sheet embedded in a non-Darcian porous medium
The paper aims at investigating the effects of chemical reaction and thermal radiation on the steady two-dimensional laminar flow of viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium. The radiative heat flux is assumed to follow Rosseland approximation. The governing equations of momentum, angular momentum, energy, and species equations are solved numerically using Runge-Kutta fourth order method with the shooting technique. The effects of various parameters on the velocity, microrotation, temperature and concentration field as well as skin friction coefficient, Nusselt number and Sherwood number are shown graphically and tabulated. It is observed that the micropolar fluid helps the reduction of drag forces and also acts as a cooling agent. It was found that the skin-friction coefficient, heat transfer rate, and mass transfer rate are decreased, and the gradient of angular velocity increases as the inverse Darcy number, porous medium inertia coefficient, or magnetic field parameter increase. Increases in the heat generation/absorption coefficient caused increases in the skin-friction coefficient and decrease the heat transfer rate. It was noticed that the increase in radiation parameter or Prandtl number caused a decrease in the skin-friction coefficient and an increase in the heat transfer rate. In addition, it was found that the increase in Schmidt number and chemical reaction caused a decrease in the skin-friction coefficient and an increase in the mass transfer rate.
http://jcarme.srttu.edu/article_582_f28fea6af680f8db65460d2da0447628.pdf
2017-03-03T11:23:20
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27
46
10.22061/jcarme.2017.582
MHD
Micropolar fluid
Chemical reaction
Thermal radiation
VUMAT subroutine
Porous medium
L.
Ramamohan Reddy
true
1
Department of Mathematics, Mekapati Rajamohan Reddy Institute of Technology and Science, Udayagiri, Nellore District, A.P, India
Department of Mathematics, Mekapati Rajamohan Reddy Institute of Technology and Science, Udayagiri, Nellore District, A.P, India
Department of Mathematics, Mekapati Rajamohan Reddy Institute of Technology and Science, Udayagiri, Nellore District, A.P, India
AUTHOR
M. C.
Raju
mcrmaths@yahoo.co.in
true
2
Department of Humanities and Sciences, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet – 516126, A.P., India
Department of Humanities and Sciences, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet – 516126, A.P., India
Department of Humanities and Sciences, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet – 516126, A.P., India
LEAD_AUTHOR
G. S. S.
Raju
true
3
Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula, A.P, India
Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula, A.P, India
Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula, A.P, India
AUTHOR
S. M.
Ibrahim
true
4
Department of Mathematics, GITAM University, Vishakhaptanam, A.P. - 530045 India
Department of Mathematics, GITAM University, Vishakhaptanam, A.P. - 530045 India
Department of Mathematics, GITAM University, Vishakhaptanam, A.P. - 530045 India
AUTHOR
[1] A. C. Eringen, “Theory of micropolar fluids”, Journal of Mathematics and Mechanics, Vol. 16, pp. 1-18, (1966).
1
[2] T. Y. Na, and I. Pop, “Boundary-layer flow of micropolar fluid due to a stretching wall”, Archives of Applied Mechanics, Vol. 67, No. 4, pp. 229-236, (1977).
2
[3] A. Desseaux, and N. A. Kelson, “Flow of a micropolar fluid bounded by a stretching sheet”, Anziam J., Vol. 42, pp. 536-560, (2000).
3
[4] F. M. Hady, On the solution of heat transfer to micropolar fluid from a non-isothermal stretching sheet with injection, Int. J. Numer. Methods for Heat and Fluid Flow, Vol. 6, No. 6, pp. 99-104, (1966).
4
[5] O. Aydin and A. Kaya, “Non-Darcin forced convection flow of a viscous dissipating fluid over a flat plate embedded in a porous medium”, Trans Porous Media, Vol. 73, No. 2, pp. 173-186, (2008).
5
[6] S. S. Das, A. Satapathy, J. K. Das and J. P. Panda, “Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source”, Int. J. of Heat and Mass Transfer., Vol. 52, No. 25-26, pp. 5962-5969, (2009).
6
[7] J. Anand Rao and S. Shivaiah, “Chemical reaction effects on an unsteady MHD free convective flow past an infinite vertical porous plate with constant suction and heat source”, Int. J. of Appl. Math and Mech., Vol. 7, No. 8, pp. 98-118,(2011).
7
[8] S. Y. Ibrahim and O. D. Makinde, “Radiation effect on chemically reacting magneto hydrodynamics (MHD) boundary layer flow of heat and mass transfer through a porous vertical flat plate,” Int. J. Physical Sciences, Vol. 6, No. 6, pp. 1508-1516, (2011).
8
[9] D. Pal and B. Talukdar, “Combined effects of Joule heating and chemical reaction on unsteady magneto hydrodynamic mixed convection of a viscous dissipating fluid over a vertical plate in porous media with thermal radiation,” Mathematical and Computer Modelling, Vol. 54, No. 11-12, pp. 3016-3036, (2011).
9
[10] K. Jhansi Rani and Ch. V. Ramana Murthy, “MHD Flow over a Moving Infinite Vertical Porous Plate with Uniform Heat Flux in the presence of Thermal Radiation”, Advanced in Theoretical and Applied Mathematics, Vol. 6, No. 1, pp. 51-63, (2011).
10
[11] G. V. Ramana Reddy, N. Bhaskar Reddy and Ch. V. Ramana Murthy, “Heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium”, International Journal of Physical Sciences, Vol. 22. No. 2M, pp. 375-380, (2010).
11
[12] T. S. Reddy, M. C. Raju and S. V. K .V Varma “ unsteady MHD Radiative and Chemically reactive free convection flow near a moving vertical plate in porous medium” Journal of Applied Fluid Mechanics ,Vol. 6, No. 3, pp. 443-451, (2013).
12
[13] M. C. Raju, S. V. K. Varma, N. A. Reddy, “MHD Thermal diffusion natural convection flow between heated inclined plates in porous medium”, Journal on future engineering and technology, Vol. 6, No. 2, pp. 45-48, (2011).
13
[14] P.Chandrakala, “Radiation Effects on Flow Past an Impulsively Started Vertical Oscillating Plate with Uniform Heat Flux”, International Journal of Dynamics of Fluids, Vol. 7, No. 1, pp. 1-8, (2011).
14
[15] R. Choudhury and U. J. Das, “MHD mixed convective heat and mass transfer in a viscoelastic boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction”, Int. J. of statistika and mathematika, Vol. 3, No. 3, pp. 93-101, (2012).
15
[16] S. Abzal, G. R. Reddy and S. V. K. Varma, “MHD free convection flow and mass transfer unsteady near a moving vertical plate in the presence of thermal radiation”, Annals of faculty engineering hunedoara- International journal of engineering, Tom IX, pp. 29-34, (2011).
16
[17] V. Ravikumar, M. C. Raju and G. S. S. Raju, “Magnetic field and radiation effects on a double diffusive free convective flow bounded by two infinite impermeable plates in the presence of chemical reaction”, IJSER, Vol. 4, No. 7, pp. 1915-1923, (2013).
17
[18] R. A. Mohamed, Abdel-Nasser A. Osman, S.M. Abo-Dahab, “Unsteady MHD double diffusive convection boundary-layer flow past a radiate hot vertical surface in porous media in the presence of chemical reaction and heat sink”, Meccanica, Vol. 48, No. 4, pp 931-942, (2013).
18
[19] M. Y. Malik, T. Salahuddin, Arif Hussain and S Bilal, “MHD flow of tangent hyperbolic fluid over a stretching cylinder: Using Keller box method”, Journal of Magnetism and Magnetic Materials, Vol. 395, pp. 271-276, (2015).
19
[20] T. Salahuddin, M. Y. Malik, Arif Hussain, S. Bilal and M. Awais, “The effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity”, AIP Advances, Vol. 5, Article ID: 127103, (2015).
20
[21] T. Salahuddin, Md. Yousaf Malik, Arif Hussain and M. Awais, “MHD flow of Cattanneo-Christov heat flux model for Williamson fluid over a stretching sheet with variable thickness: Using numerical approach”, Journal of Magnetism and Magnetic Materials, Vol. 401, pp. 991-997, (2015).
21
[22] B. Seshaiah, S. V. K. Varma, M. C. Raju, “The effects of chemical reaction and radiation on unsteady MHD free convective fluid flow embedded in a porous medium with time-dependent suction with temperature gradient heat source”, International Journal of Scientific Knowledge, Vol. 3 No. 2, pp. 13-24, (2013).
22
[23] R. Rout and H. B. Pattanayak, “Chemical reaction and radiation effects on MHD flow past an exponentially accelerated vertical plate in presence of heat source with variable temperature embedded in a porous medium”, Annals of faculty engineering hunedoara- Int. Jou. Of Engg, Vol. 4, pp. 253-259, (2013).
23
[24] W. A. Khan, and I. Pop, “The Cheng-Minkowycz problem for the triple–diffusive natural convection boundary layer flow past a vertical plate in a porous medium”, J. Porous Media, Vol.16, No. 7, pp. 637-646, (2013).
24
[25] G. S. Seth, R. Nandkeolyar and M. S. Ansari, “Effects of thermal radiation and rotation on unsteady hydro magnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium”, J. Appl. Fluid Mech, Vol.6, No.1, pp. 27-38, (2013).
25
[26] D. Ch. Kesavaiah, P. V. Satyanarayana, S. Venkataramana, “Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction”, Int. J. of Appl. Math and Mech., Vol. 7, No. 1, pp. 52-69, (2011).
26
[27] U. S. Rajput, S. Kumar, “Radiation effects on MHD flow past an impulsively started vertical plate with variable heat and mass transfer”, Int. J. of Appl. Math. and Mech., Vol. 8, No. 1, pp. 66-85, (2012).
27
[28] R. Muthucumaraswamy, N. Dhanasekar, G. Easwara Prasad, “Effects on first order chemical reaction on flow past an accelerated isothermal vertical plate in a rotating fluid with variable mass diffusion”, Int. J. Math., Vol. 4, No. 41, pp. 28-35, (2013).
28
[29] B. Devika, P. V. Satya Narayana, S. Venkataramana, “MHD oscillatory flow of a visco elastic fluid in a porous channel with chemical reaction”, Int. J. Engg. Sci. Inv., Vol. 2, No. 2, pp. 26-35, (2013).
29
[30] K. Chand, K. D. Singh, S. Kumar, “Hall effect on radiating and chemically reacting MHD oscillatory flow in a rotating porous vertical channel in slip flow regime”, Advances in Applied Sciences Research, Vol. 3, No. 4, pp. 2424-2437, (2012).
30
[31] S. Mukhopadhyay, R. S. R. Gorla, “Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation”, Heat Mass Transfer, Vol. 48, pp. 1773-1781, (2012). http://dx.doi.org/10.1007/s00231-012-1024-8.
31
[32] P. K. Kameswaran, S. Shaw, P. Sibanda, P. V. S. N. Murthy, “Homogeneous–heterogeneous reactions in a nanofluid flow due to a porous stretching sheet”, Int. J. Heat and Mass Transfer, Vol. 57, No. 2, pp. 465-472 (2013).
32
[33] S. Shaw, P.K. Kameswaran, P. Sibanda, “Homogeneous–heterogeneous reactions in micropolar fluid flow from a permeable stretching or shrinking sheet in a porous medium”, Boundary Value Problems, Vol. 77, No. 1, (2013).
33
[34] R. Ellahi, S. Aziz, A. Zeeshan, “Non-Newtonian nanofluid flow through a porous medium between two coaxial cylinders with heat transfer and variable viscosity”, Journal of Porous Media, Vol. 16, No. 1, pp. 205-216, (2013).
34
[35] N. Bachok, A. Ishak, I. Pop, “Boundary layer stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet in a nanofluid”, Int. J. f Heat Mass transfer, Vol. 55, No. 25-26, pp. 8122-8128, (2013).
35
[36] N. S. Akbar, S. Nadeem, R.U. Haq, Z.H. Khan, “Radiation effects on MHD stagnation point flow of nanofluid towards a stretching surface with convective boundary condition”, Chinese Journal of Aeronautics, Vol. 26, No. 6, pp. 1389-1397, (2013), DOI: http://dx.doi.org/10.1016/j.cja.2013.10.008.
36
[37] M. Sheikholeslami, D. D. Ganji, M. Y. Javed, R. Ellahi, “Effect of thermal radiation on magneto hydrodynamics nanofluid flow and heat transfer by means of two phase model”, J. Magn..Mater. Vol. 374, pp. 36-43, (2015).
37
[38] M. Turkyilmazoglu, I. Pop, “Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect”, Int. J. Heat Mass Transfer, Vol. 59, pp. 167-171, (2013).
38
[39] M. Sheikholeslami, D. D. Ganjia, M. M. Rashidib, “Ferro fluid flow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation”, J. Taiwan Inst. Chem. Eng., Vol. 47, pp. 6-17, (2015). http://dxdoi.org/10.1016/j.jtice.2014.09.026.
39
[40] D. Pal, “Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface”, Commun. Nonlinear Sci. Numer. Simulat., Vol. 16, pp. 1890–1904, (2011).
40
[41] G. C. Shit, R. Haldar, “Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet”, Appl. Mathematics Mech. (English Edition), Vol. 32, No. 6, pp. 677-688, (2011).
41
[42] K. Das, “Impact of thermal radiation on MHD slip flow over a flate plate with
42
variable fluid properties”, Heat Mass Transfer, Vol. 48, pp. 767-778, (2012).
43
[43] F. T. Akyildiz, H. Bellout, K. Vajravelu, R.A. Van Gorder, “Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces”, Nonlinear Anal.: Real World Appl., Vol. 12, pp. 2919-2930, (2011).
44
[44] A. J. Chamkha, R. S. R. Gorla, K. Ghodeswar, “Non-similar solution for natural convective boundary layer flow over a sphere embedded in a porous medium saturated with a nanofluid”, Transp. Porous Media, Vol. 86, No. 1, pp. 13-22, (2011).
45
[45] N. Bachok, A. Ishak, I. Pop, “Stagnation-point flow over a stretching/shrinking sheet in a nanofluid”, Nanoscale Res. Lett., Vol. 6, pp. 623-632, (2011).
46
[46] O. D. Makinde, A. Aziz, “Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition”, Int. J. Thermal Sci., Vol. 50, pp. 1326-1332, (2011).
47
[47] E. M Abo-Eldahaband and M. A El-Aziz, “Flow and heat transfer in a micropolar fluid past a stretching surface embedded in a non-Darcian porous medium with uniform free steam”, Mathematics and Computation, Vol. 162, No. 2, pp. 881-899, (2005).
48
ORIGINAL_ARTICLE
Prediction of earing in deep drawing of anisotropic aluminum alloy sheet using BBC2003 yield criterion
This paper investigates the earing phenomenon in deep drawing of AA3105 aluminum alloy, experimentally and numerically. Earing defect is mainly attributed to the plastic anisotropy of sheet metal. In order to control such defect, predicting the evolution of ears in sheet metal forming analyses becomes indispensable. In this regard, the present study implements the advanced yield criterion BBC2003. Based on this yield function and the associated flow rule of plasticity, the constitutive model is derived. Accordingly, a user material VUMAT subroutine is developed and adopted in the commercial finite element software ABAQUS/Explicit. Several plane stress loading problems are designed, through which, the accuracy of the developed subroutine is verified. In addition, cylindrical cups of AA3105 aluminum alloy are fabricated using a deep drawing die. The earing defect was clearly observed on the recovered parts. Using the experimentally obtained constants of BBC2003 yield criterion for this alloy in VUMAT, deep drawing of the cylindrical cups was simulated. The results demonstrate that the earing profile can successfully be predicted using BBC2003 yield function.
http://jcarme.srttu.edu/article_583_d14e103c2c513386703f4e1a2ba16ec5.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
47
55
10.22061/jcarme.2017.583
Plastic anisotropy
Earing
Sheet metal forming
Advanced yield criterion
VUMAT subroutine
S.
Izadpanah
true
1
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
AUTHOR
S. H.
Ghaderi
s.h.ghaderi@shahroodut.ac.ir
true
2
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
LEAD_AUTHOR
M.
Gerdooei
true
3
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
School of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
AUTHOR
[1] D. Banabic, Sheet metal forming processes: constitutive modelling and numerical simulation, Springer Science & Business Media, pp. 45-120, (2010).
1
[2] M. Vrh, M. Halilovič, B. Starman, B. Štok, D.-S. Comsa, and D. Banabic, “Capability of the BBC2008 yield criterion in predicting the earing profile in cup deep drawing simulations”, Eur. J Mech. A-Solid, Vol. 45, pp. 59-74, (2014).
2
[3] K. Chung, and K. Shah. “Finite element simulation of sheet metal forming for planar anisotropic metals”, Int. J. Plasticity, Vol. 8, No. 4, pp. 453-476, (1992).
3
[4] J. W. Yoon, F. Barlat, R. E. Dick, and M.
4
E. Karabin, “Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function”, Int. J. Plasticity, Vol. 22, No. 1, pp.174-193, (2006).
5
[5] J. Gawad, D. Banabic, A.Van Bael, D.S. Comsa, M. Gologanu, P. Eyckens, P. Van Houtte, and D. Roose, “An evolving plane stress yield criterion based on crystal plasticity virtual experiments”, Int. J. Plasticity, Vol. 75, pp.141-169, (2015).
6
[6] D. Banabic, H. Aretz, D. S. Comsa, and L. Paraianu, “An improved analytical description of orthotropy in metallic sheets”, Int. J. Plasticity, Vol. 21, No. 3, pp. 493-512, (2005).
7
[7] M. Vrh, M. Halilovič, and B. Štok. “Improved explicit integration in plasticity”, Int. J. Numer. Meth. Eng., Vol. 81, No. 7, pp. 910-938 (2010).
8
[8] M. Halilovič, M. Vrh, B. Štok, “NICEh: a higher-order explicit numerical scheme for integration of constitutive models in plasticity”, Eng. Comput., Vol 29, No. 1, pp. 55−70, (2013).
9
[9] K. Lange, Handbook of metal forming, McGraw-Hill Book Company, pp. 20.16-20.19, (1985).
10
[10] S. Izadpanah-Najmabad, M. Gerdooei, S. H. Ghaderi, “Determination of BBC2003 yield criterion constants for anisotropic aluminum alloy sheets based on plane strain tensile test”, Modares Mech. Eng., Vol. 15 , No. 11, pp. 127-135, (2015).
11
[11] B. Starman, M. Vrh, M. Halilovič, and B. Štok, “Advanced modelling of sheet metal forming considering anisotropy and Young’s modulus evolution”, Stroj. Vestn. J. Mech. E., Vol. 60, No. 2, pp. 84-92, (2014).
12
ORIGINAL_ARTICLE
Assessment of different methods for fatigue life prediction of steel in rotating bending and axial loading
Generally, fatigue failure in an element happens at the notch on a surface where the stress level rises because of the stress concentration effect. The present paper investigates the effect of a notch on the fatigue life of the HSLA100 (high strength low alloy) steel which is widely applicable in the marine industry. Tensile test was conducted on specimens and mechanical properties were obtained. Rotating bending and axial fatigue tests were performed at room temperature on smooth and notched specimens and S-N curves were obtained. Using the obtained S-N curve for smooth specimens, the fatigue strength factor for the notched specimens were predicted by Weibull's weakest-link, Peterson, Neuber, stress gradient and critical distance methods and compared with experimental results. It was found that the critical distance and also Weibull’s weakest-link methods have the best agreement with experimental results.
http://jcarme.srttu.edu/article_597_2d5eee2e783679151d9b92c9850c91b5.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
57
68
10.22061/jcarme.2017.597
Fatigue failure
S-N curve
Rotating bending
J.
Amirian
true
1
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
AUTHOR
H.
Safari
true
2
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
AUTHOR
M.
Shirani
mehdi.shirani@cc.iut.ac.ir
true
3
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
LEAD_AUTHOR
M.
Moradi
true
4
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Iran
AUTHOR
S.
Shabani
true
5
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
Subsea Research and Development Center, Isfahan University of Technology, 84156-83111, Iran
AUTHOR
[1] Y. L. Lee, J. Pan, R. Hathaway and M. Barkey, Fatigue testing and analysis - theory and practice, 1st ed., Elsevier, Oxford, (2005).
1
[2] N. E. Dowling, Mechanical behavior of materials - engineering methods for deformation, fracture, and fatigue, 3rd ed., Prentice Hall, New Jersey, (2007).
2
[3] E. Siebel and M. Stieler, “Ungleichförmige Spannun gsverteilungbeischwingender Beanspruchun-g”, VDI-Z . Vol. 97, No. 5, pp.121-126, (1955).
3
[4] D. Taylor, The theory of critical distances - a new perspective in fracture mechanics,1st ed., Elsevier, London, (2007).
4
[5] A. Wormsen, B. Sjödin, G. Härkegård and A. F. jeldstad,“Non-local stress approach for fatigue assessment based on weakest-link theory and statistics of extremes”,Fatigue Eng. Mater. Struct, Vol. 30, No. 12, pp.1214-1227, (2007).
5
[6] W. Weibull, “A statistical theory of the strength of materials”, IVA Handlingar,Vol. 151, pp.1-45, (1939).
6
[7] W. Weibull,“The phenomenon of rupture in solids”, IVA Handlingar,Vol. 153, pp.155-160, (1939).
7
[8] W. Weibull,“A statistical distribution function of wide applicability”,Appl. Mech. Eng, Vol. 18, No. 3, pp.293-297, (1951).
8
[9] M. Shirani and G. Härkegård,“Large scale axial fatigue testing of ductile cast iron for heavy section wind turbine components”, Eng. Failure Anal,Vol. 18, No. 6, pp.1496-1510, (2011).
9
[10] M. Shirani and G. Härkegård,“Fatigue life distribution and size effect in ductile cast iron for wind turbine components”,Eng. Failure Anal, Vol. 18, No. 1, pp.12-24, (2011).
10
[11] M. Shirani and G. Härkegård,“Damage tolerant design of cast components based on defects detected by 3D X-ray computed tomography”,Int. J. Fatigue, Vol. 41, pp.188-198, (2012).
11
[12] M. Shirani and G. Härkegård, “Casting defects and fatigue behaviour of ductile cast iron for wind turbine components: A comprehensive study”, Materialwiss. Werkstofftech,Vol. 42, No. 12, pp.1059-1074, (2011).
12
[13] M. Shirani and G. Härkegård, “Fatigue crack growth simulation in components with random defects”, J. ASTM In, Vol. 6, No. 9, pp.1089-1121, (2009).
13
[14] T. Montemarano, B. Sach, J. Gudas, M. Vassilaros and H. Vandervelt, J. Ship Prod, Vol. 2, No. 3, pp.145, (1986).
14
[15] HSLA Steel, 2002-11-15, archived from the original on 2010-01-03, retrieved 2008-10-11.
15
[16] J. Davis, Alloying: Understanding the Basics. ASM International, (2001).
16
[17] S. Mikalac and M. Vassilaros, Proc. Of Int. Conf. on Processing, Microstructure and Properties of Microalloyed and Other Modern High Strength Low Alloy Steels, Iron and Steel Society, Pittsburgh, PA, June 3-6. p. 331 (1991).
17
[18] A. Coldren and T. Cox, “Technical Report”, David Taylor Research Laboratory, DTNSRDCN00167-85-C-006, (1985).
18
[19] E. Czyryca, Proc. Conf. on Advances in Low Carbon High Strength Ferrous Steels LCFA-92, O.N. Mohanty, B.B. Rath, M.A. Imam, C.S. Sivaramakrishnan (Eds.), Indo-US Pacific Rim Workshop, Trans Tech Pub., Jamshedpur, India, March 25-28, p. 490, (1992).
19
[20] ASTM Standard E8. Standard Test Methods for Tension Testing of Metallic Materials. West Conshohocken (PA, USA): ASTM International, (2007).
20
[21] ASTM Standard E2948-14. Standard Test Method for Conducting Rotating Bending Fatigue Tests of Solid Round Fine Wire. West Conshohocken (PA, USA): ASTM International, (2007).
21
[22] ASTM Standard E 466-07. Standard practice for conducting force controlled constant amplitude axial fatigue tests of metallic materials. West Conshohocken (PA, USA): ASTM International, (2007).
22
[23] H. Belmonte, M. Mulheron, P. Smith,“Weibull analysis, extrapolations and implications for condition assessment of cast iron water mains”,Fatigue Eng. Mater. Struct. Vol. 30, No. 10, pp. 964-90, (2007).
23
[24] W. Weibull,Fatigue testing and analysis of results, Pergamon, New York, (1961).
24
[25] S. Nishijima,“Statistical fatigue properties of some heat-treated steels for machine structural use”,ASTM Spec Technol Publ. Vol. 744, pp.75-88, (1981).
25
[26] J. Wilson,“Statistical comparison of fatigue data”, J. Mater. Sci. Lett, Vol. 7, No. 3, pp. 307-308, (1988).
26
[27] G. Härkegård and G. Halleraker, “Assessment of methods for prediction of notch and size effects at the fatigue limit based on test data by Böhm and Magin”,Int. J. Fatigue.Vol. 32, No. 10, pp.1701-1709, (2010).
27
[28] R. E. Peterson,Notch sensitivity. In: Sines G, Waisman JL, editors. Metal fatigue. McGraw Hill, New York, (1959).
28
[29] H. Neuber,Theory of notch stresses - principles for exact calculation of strength with reference to structural form and material, Springer, Berlin, (1958).
29
ORIGINAL_ARTICLE
Water hammer simulation by explicit central finite difference methods in staggered grids
Four explicit finite difference schemes, including Lax-Friedrichs, Nessyahu-Tadmor, Lax-Wendroff and Lax-Wendroff with a nonlinear filter are applied to solve water hammer equations. The schemes solve the equations in a reservoir-pipe-valve with an instantaneous and gradual closure of the valve boundary. The computational results are compared with those of the method of characteristics (MOC), and with the results of Godunov''s scheme to verify the proposed numerical solution. The computations reveal that the proposed Lax-Friedrichs and Nessyahu-Tadmor schemes can predict the discontinuities in fluid pressure with an acceptable order of accuracy in cases of instantaneous and gradual closure. However, Lax-Wendroff and Lax-Wendroff with nonlinear filter schemes fail to predict the pressure discontinuities in instantaneous closure. The independency of time and space steps in these schemes are allowed to set different spatial grid size with a unique time step, thus increasing the efficiency with respect to the conventional MOC. In these schemes, no Riemann problems are solved; hence field-by-field decompositions are avoided. As provided in the results, this leads to reduced run times compared to the Godunov scheme.
http://jcarme.srttu.edu/article_598_2151f0dc134bfd1fd8e2d08d4ada7cea.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
69
77
10.22061/jcarme.2017.598
Water hammer
Lax-Friedrichs
Nessyahu-Tadmor
Lax-Wendroff
Method of Characteristics
Godunov’s method
F.
Khalighi
true
1
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
AUTHOR
A.
Ahmadi
a.ahmadi@shahroodut.ac.ir
true
2
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
Civil Engineering Department, Shahrood University of Technology, Shahrood, 009823, IRAN
LEAD_AUTHOR
A.
Keramat
true
3
Civil Engineering Department, Jundi-Shapur University of Technology, Dezful, 009861, IRAN
Civil Engineering Department, Jundi-Shapur University of Technology, Dezful, 009861, IRAN
Civil Engineering Department, Jundi-Shapur University of Technology, Dezful, 009861, IRAN
AUTHOR
[1] A. S. Tijsseling, “Fluid-structure interaction in liquid-filled pipe systems: a review”, Journal of Fluids and Structures, Vol. 10, No. 2, pp. 109-146, (1996).
1
[2] H. J. Kwon and J. J Lee, “Computer and experimental models of transient flow in pipe involving backflow preventers”, Journal of Hydraulic Engineering, Vol. 134, No. 4, pp. 426-434, (2008).
2
[3] M. H. Afshar and M. Rohani, “Exploring the Versatility of the implicit method of characteristic (MOC) for Transient simulation of pipeline systems”, Twelfth International Water Technology Conference, Alexandria, Egypt, (2008).
3
[4] S. R. Sabbagh-yazdi, A. Abbasi and N. Mastorakis, “Water hammer modeling using 2nd order Godunov finite volume method”. Proceeding of European Computing Conference. Vol. 2, pp. 215-223, (2009).
4
[5] M. Zhao, M. S. Ghidaoui, “Godunov-Type Solutions for Water Hammer Flows”, Journal ofHydraulic Engineering, Vol. 130, No. 4, pp. 341-348, (2004).
5
[6] M. H. Chaudhry and M. Y. Hussaini, “Second-order accurate explicit finite-difference schemes for water hammer analysis”, Journal of Fluids Engineering, Vol. 107, No. 4, pp. 523-529, (1985).
6
[7] A. S. Tijsseling and A. Bergant, “Meshless computation of water hammer”, 2nd IAHR International Meeting of the Work groupon Cavitation and Dynamic Problems in Hydraulic Machinery and Systems, Timisoara, Vol. 52, No. 66, pp. 65-76 (2007).
7
[8] H. Hou, A. C. H. Kruisbrink, A. S. Tijsseling and A. Keramat, “Simulating water hammer with corrective smoothed particle method”, Eindhoven University of Technology, Eindhoven, (2012).
8
[9] H. Chaudhry, Applied hydraulic transients, Van Nostrand Reinhold Company, New York, (1979).
9
[10] E. Wylie and V. Streeter, Applied hydraulic transients, Fluid Transient in Systems. Prentice-Hall, New York, (1993).
10
[11] A. Bergant, A. S. TIJSSELING and J. P. VÍTKOVSKÝ, “Parameters affecting water-hammer wave attenuation, shape and timing-part1: Mathematical tools”, Journal of Hydraulic Research, Vol. 46, No. 3, pp. 373-381, (2003).
11
[12] K. A. Hoffmann and S. T. Chiang, “Computational fluid dynamics for engineers”. Engineering Education Systems, Austin, Texas, (1993).
12
[13] A. V. Chikitkin, B. V. Rogov and S. V. Utyuzhnikov, “High-order accurate monotone compact running scheme for multidimensional hyperbolic equations”. Applied Numerical Mathematics, Vol. 93, No. 3, pp. 150-163, (2015).
13
[14] L. F. Shampine, “Two-step Lax-Friedrichs method”, Applied Mathematics Letters, Vol. 18, No. 10, pp. 1134-1136, (2004).
14
[15] L. F. Shampine, “Solving hyperbolic PDEs in MATLAB”, Applied Numerical
15
Analysis & Computational Mathematics, Vol. 2, No. 3, pp. 346-358, (2005).
16
[16] A. S. Tijsseling and C. S. W. Lavooij, “Water hammer with fluid-structure interaction”, Applied Scientific Research, Vol. 47, No. 3, pp. 273-285, (1990).
17
[17] A. S. Tijsseling and A. Bergant, “Meshless computation of water hammer”, 2nd IAHR International Meeting of the Work groupon Cavitation and Dynamic Problems in Hydraulic Machinery and Systems, Timisoara, Vol. 52, No. 6, pp. 65-76, (2007).
18
ORIGINAL_ARTICLE
Dynamical formation control of wheeled mobile robots based on fuzzy logic
In this paper, the important formation control problem of nonholonomic wheeled mobile robots is investigated via a leader-follower strategy. To this end, the dynamics model of the considered wheeled mobile robot is derived using Lagrange equations of motion. Then, using ADAMS multi-body simulation software, the obtained dynamics of the wheeled system in MATLAB software is verified. After that, in order to generate and keep the desired formation, a Fuzzy Logic Controller is designed. In this regard, the leader mobile robot is controlled to follow a reference path and the follower robots use the Fuzzy Logic Controller to keep constant relative distance and constant angle with respect to the leader. The efficiency of the suggested dynamics-based formation controller has been proved using several computer simulations under different situations and desired trajectories. Also, the performance of the follower robot in path tracking is checked in the presence of receiving noisy data from the leader robot.
http://jcarme.srttu.edu/article_600_8354b34255846c7ee387e9bde6956e9d.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
79
91
10.22061/jcarme.2017.600
Wheeled mobile robots
Nonholonomic constraints
Fuzzy logic controller
Formation Control
k.
Alipour
k.alipour@ut.ac.ir
true
1
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
LEAD_AUTHOR
m.
Ghiasvand
true
2
Department of Electrical, Biomedical and Mechatronics Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran
Department of Electrical, Biomedical and Mechatronics Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran
Department of Electrical, Biomedical and Mechatronics Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran
AUTHOR
B.
Tarvirdizadeh
true
3
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
Department of Mechatronics Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
An efficient finite difference time domain algorithm for band structure calculations of Phononic crystal
In this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. At first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. So the new algorithm is called the displacement-based finite difference time domain (DBFDTD). Three numerical examples are computed with this method and the results are compared with experimental measurements and the conventional FDTD method. Also, the computational cost of the new approach is compared with the conventional FDTD method. The comparison showed that the calculation time of the DBFDTD method is 37.5 percent less than that of the FDTD method.
http://jcarme.srttu.edu/article_601_6aab0bc77743acfa4b9b33f893f84ea1.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
93
101
10.22061/jcarme.2017.601
Phononic crystal
Wave propagation
Finite difference time domain
Displacement-based formulation
M.
Moradi
true
1
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
AUTHOR
M.
Bagheri Nouri
m.bagherinouri@me.iut.ac.ir
true
2
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
LEAD_AUTHOR
[1[ M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, “Acoustic band structure of periodic elastic composites”, Phys. Rev. Lett., Vol. 71, No. 13, pp. 2022-2025, (1993).
1
[2[ R. Martinez-Sala, J. Sancho, J. V. Sanchez, V. Gomez, J. Llinares, and F. Meseguer, “Sound attenuation by sculpture”, Nature., Vol. 378, No. 6554, pp. 241-241, (1995).
2
[3[ F. R. Montero de Espinosa, E. Jime´nez, and M. Torres, “Ultrasonic Band Gap in a Periodic Two-Dimensional Composite”, Phys. Rev. Lett., Vol. 80, No. 6, pp. 1208-1211, (1998).
3
[4] A. Khelif, A. Choujaa, R. laihem, M. Wilm, S. Ballandras, and V. Laude, “Experimental study of band gaps and defect modes in a two-dimensional ultrasonic crystal”, IEEE Ultrasonics Symposium, pp. 377-380, (2003).
4
[5] Y. Pennec, B. Djafari-Rouhani, J. O. Vasseur, A. Khelif, and P. A. Deymier, “Tunable filtering and demultiplexing in phononic crystals with hollow cylinders”, Phys. Rev. E., Vol. 69, 046608, (2004).
5
[6[ W. Liu, J. W. Chen, and X. Y. Su, “Local resonance phononic band gaps in modified two-dimensional lattice materials”, Acta Mech. Sin., Vol. 28, pp. 659-669, (2012).
6
[7[ M. Kafesaki, M. M. Sigalas, and N. García, “Frequency Modulation in the Transmittivity of Wave Guides in Elastic-Wave Band-Gap Materials”, Phys. Rev. Lett., Vol. 85, No. 19, pp. 4044-4047, (2000).
7
[8] A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, and P. A. Deymier, “Transmission and dispersion relations of perfect and defect-containing waveguide structures in phononic band gap materials”, Phys. Rev. B., Vol. 68, No. 2, 024302, (2003).
8
[9[ Y. Yao, Z. Hou, and Y. Liu, “The two-dimensional phononic band gaps tuned by the position of the additional rod”, Phys Let. A., Vol. 362, No. 5-6, pp. 494-499, (2007).
9
[10[ B. Wu, R. Wei, H. Zhao, and C. He, “Phononic Band Gaps in Two-Dimensional Hybrid Triangular Lattice”, Acta Mech. Solida Sin., Vol. 23, No. 3, pp. 255-259, (2010).
10
[11[ Y. Tanaka, Y. Tomoyasu, and S. Tamura, “Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch”, Phys. Rev. B., Vol. 62, No. 11, pp. 7387-7392, (2000).
11
[12[ P. Hsieh, T. Wu, and J. Sun, “Three-Dimensional Phononic Band Gap Calculations Using the FDTD Method and a PC Cluster System”, Ieee T. Ultrason. Ferr., Vol. 53, No. 1, pp. 148-158, (2006).
12
[13] D. García-Pablos, M. Sigalas, F. R. Montero de Espinosa, M. Torres, M. Kafesaki, and N. García, “Theory and Experiments on Elastic Band Gaps”, Phys. Rev. Lett., Vol. 84, No. 19, pp. 4349 -4352, (2000).
13
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[17] H. F. Gao, T. Matsumoto, T. Takahashi, and H. Isakari, “Analysis of Band Structure for 2D Acoustic Phononic Structure by BEM and the Block SS Method”, CMES-Comp. Model. Eng., Vol. 90, No. 4, pp. 283-301, (2013).
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[19] Z. Z. Yan, and Y. S. Wang, “Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals”, J. Comput. Phys., Vol. 74, 224303, (2006).
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[21] M. Liu, J. Xiang, Y. Zhong, “The band gap and transmission characteristics investigation of local resonant quaternary phononic crystals with periodic coating”, Appl. Acoust., Vol. 100, pp. 10-17, (2015).
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[22] M. Liu, P. Li, Y. Zhong, and J. Xiang, “Research on the band gap characteristics of two-dimensional phononic crystals micro-cavity with local resonant structure”, Shock. Vib., Vol. 2015, 239832, (2015).
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[25] T. T. Wu, J. H. Sun, “4G-3 Guided Surface Acoustic Waves in Phononic Crystal Waveguides”, IEEE Ultrasonics Symposium, pp. 673-676, (2006).
25
ORIGINAL_ARTICLE
Vibration analysis of functionally graded cylindrical shells with different boundary conditions subjected to thermal loads
In the present work, study of the vibration of a functionally graded (FG) cylindrical shell made up of stainless steel, zirconia, and nickel is presented. Free vibration analysis is presented for FG cylindrical shells with simply supported-simply supported and clamped–clamped boundary condition based on temperature independent material properties. The equations of motion are derived by Hamilton’s principle. Material properties assume to be graded in the thickness direction according to a simple power law distribution in terms of the volume fraction of the constituents. Effects of boundary conditions and volume fractions (power law exponent) on the natural frequencies of the FG cylindrical shell are studied. Frequency characteristics of the FG shell are found to be similar to those of isotropic cylindrical shells. Furthermore, natural frequencies of these shells are observed to be dependent on the constituent volume fractions and boundary conditions. Strain displacement relations from Love's and first-order shear deformation theories are employed. Galerkin method is used to derive the governing equations for clamped boundary conditions. Further, analytical results are validated with those reported in the literature and excellent agreement is observed. Finally, in order to investigate the effects of the temperature gradient, functionally graded materials cylindrical shell with high temperature specified on the inner surface and outer surface at ambient temperature,1D heat conduction equation along the thickness of the shell is applied and the results are reported.
http://jcarme.srttu.edu/article_602_fbfab54da26e513230914a4d86262ea5.pdf
2017-03-03T11:23:20
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103
114
10.22061/jcarme.2017.602
Functionally graded materials
Cylindrical shells
Natural frequency
First-order shear deformation theory (FSDT)
Thermal load
M.
Talebitooti
talebi@qut.ac.ir
true
1
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
LEAD_AUTHOR
M.
Ghasemi
true
2
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
AUTHOR
S. M.
Hosseini
true
3
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
AUTHOR
[1] M. Yamanouchi, M. Koizumi, T. Hirai, and I. Shiota. Proceedings of the First International Symposium on Functionally Gradient Materials, Japan, (1990).
1
[2] M. Koizumi, “The concept of FGM” ,Ceramic Transactions, Functionally Gradient Materials, Vol. 34, pp. 3-10,(1993).
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3
[4] N. Sata, ”Characteristic of SiC-TiB_ composites as the surface layer of SiC-TiB_-Cu functionally gradient material produced by self-propagating high-temperature synthesis”, Ceramic Transactions, Functionally Gradient Materials, Vol. 34, pp. 109-116,(1993).
4
[5] H. Yamaoka, M. Yuki, K. Tahara, T. Irisawa, R. Watanabe, and A. Kawasaki. “Fabrication of Functionally Gradient Material by slurry stacking and sintering process”, Ceramic Transactions, Functionally Gradient Materials, Vol. 34, pp. 72-165, (1993).
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[6] B. H. Rabin, and R. J. Heaps, “Powder processing of Ni/Al2O3 FGM”, Ceramic Transactions, Functionally Gradient Materials, Vol. 34, pp. 173-180, (1993).
6
[7] N. Noda, “Thermal stresses in functionally graded materials”, Journal of Thermal Stresses Vol. 22, pp. 477-512, (1999).
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[8] T. Fuchiyama, and N. Noda, “Analysis of thermal stress in a plate of functionally gradient material”, Journal of Science and Engineering, Vol. 16, pp. 263-268, (1995).
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[9] Y. Obata, and N. Noda,” Steady thermal stresses in a hollow circular cylinder and hollow sphere of a functionally gradient material”, Journal of Thermal Stresses, Vol. 17, pp. 471-487, (1994).
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[10] J. N. Reddy, and C. D. Chin, “Thermo mechanical analysis of functionally graded cylinders and plates”, Journal of Thermal Stresses, Vol. 21, pp. 593-626, (1998).
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[11] M. Jabbari, S. Sohrabpour, and M. R. Eslami,”Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric load”, International Journal of Pressure Vessels and Piping, Vol. 79, pp. 493-497, (2002).
11
[12] H. Awaji, and R. Sivakumar, “Temperature and stress distribution in a hollow cylinder of functionally graded material; the case of temperature-independent material properties”, Journal of the American Ceramic Society, Vol. 84, pp. 1059-1065, (2001).
12
[13] S. Takezono, K. Tao, E. Inamura, and M. Inoue, “Thermal stress and deformation in functionally graded material shells of revolution under thermal loading due to fluid”, JSME International Journal Series, Vol. 39, pp. 573-581, (1996).
13
[14] G. R. Ye, W. Q. Chen, and J. B. Cai, “A uniformly heated functionally graded cylindrical shell with transverse isotropy”, Mechanics Research Communications, Vol. 28, pp. 535-542, (2001).
14
[15] K. M. Liew, S. Kitipornchai, X. Z. Zhang, and C. W. Lim, “Analysis of the thermal stress behavior of functionally graded hollow circular cylinders”, International Journal of Solids and Structures, Vol. 40, pp. 2355-2380, (2003).
15
[16] R. N. Arnold, and G. B. Warburton, “Flexural vibrations of the walls of thin cylindrical shells having freely supported ends”, Proceedings of the Royal Society London A, Vol. 197, pp. 238-256, (1949).
16
[17] A. Ludwig, and R. Krieg,”An analytical quasi-exact method for calculating Eigen vibrations of thin circular cylindrical shells”, Journal of Sound and Vibration, Vol. 74, pp. 155-174, (1981).
17
[18] H. Chung,”Free vibration analysis of circular cylindrical shells”, Journal of Sound and Vibration, Vol. 74, pp. 331-350, (1981).
18
[19] W. Soedel, ”A new frequency formula for closed circular cylindrical shells for a large variety of boundary conditions”, Journal of Sound and Vibration, Vol. 70, pp. 309-317, (1980).
19
[20] A. Bhimaraddi, “A higher order theory for free vibration analysis of circular cylindrical shells”, International Journal of Solids and Structures, Vol. 20, pp. 623-630, (1984).
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[21] K. P. Soldatos, and V. P. Hajigeoriou, “Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels”, Journal of Sound and Vibration, Vol. 137, pp. 369-384, (1990).
21
[22] K. Y. Lam, and C. T. Loy, ”Effects of boundary conditions on frequencies characteristics for a multi-layered cylindrical shell”, Journal of Sound and Vibration, Vol. 188, pp. 363-384, (1995).
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[23] C. T. Loy, K. Y. Lam, and C. Shu, ”Analysis of cylindrical shells using generalized differential quadrature”, Shock and Vibration, Vol. 4, pp. 193-198, (1997).
23
[24] MM. Najafizadeh, MR. Isvandzibaei, Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support. Acta Mechanica 2007; 191: 75-91.
24
[25] M. M. Najafizadeh, and M. R. Isvandzibaei, "Vibration of functionally graded cylindrical shells based on different shear deformation shell theories with ring support under various boundary conditions", Journal of Mechanical Science and Technology, Vol. 23, pp. 2072-2084, (2009).
25
[26] F. Tornabene, "Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution", Comput. Methods Appl. Mech. Engrg., Vol. 198, pp. 2911-2935, (2009).
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[27] P. Malekzadeh, and Y. Heydarpour, "Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment", Composite Structures, Vol. 94, pp. 2971-2981, (2012).
27
[28] M. J. Ebrahimi, and M. M. Najafizadeh, "Free vibration of two-dimensional functionally graded circular cylindrical shells on elastic foundation", Modares Mechanical Engineering, Vol. 38, No. 1, pp. 308-324, (2013).
28
[29] R. Bahadori, and M. M. Najafizadeh "Free vibration analysis of two-dimensional functionally graded axisymmetric cylindrical shell on Winkler–Pasternak elastic foundation by First-order Shear Deformation Theory and using Navier-differential quadrature solution methods", Applied Mathematical Modelling, Vol. 39, pp. 4877-4894, (2015).
29
[30] G. G. Sheng and X. Wang, “Effects of Thermal Loading on the Buckling and Vibration of Ring-Stiffened Functionally Graded Shell”, J. Therm. Stresses, Vol. 30, pp. 1249-1267, (2007).
30
[31] K. Y. Lam, and W. Qian, “Vibrations of Thick Rotating Laminated Composite Cylindrical Shells”, J. Sound Vibr., Vol.
31
225, No. 3, pp. 483-501, (1999).
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[32] R. Naj, M. Sabzikar Boroujerdy and M. R. Eslami, “Thermal and mechanical instability of functionally graded truncated conical shells”, Thin-Walled Structures, Vol. 46, pp. 65-78, (2008).
33
[33] H.-S. Shen, and N. Noda, “Postbuckling of FGM Cylindrical Shells under Combined Axial and Radial Mechanical Loads in Thermal Environments”, Int. J. Solids Struct., Vol. 42, pp. 4641-4662, (2005).
34
[34] M. S. Qatu, “Vibration of Laminated Shells and Plates”, Elsevier, The Netherlands, (2004).
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[35] A. V. Lopatin, and E. V. Morozov, "Buckling of the composite sandwich cylindrical shell with clamped ends under uniform external pressure", Compos. Struct., Vol. 122, pp. 209-216, (2015).
36
[36] M. Talebitooti, “Vibration and critical speed of orthogonally stiffened rotating FG cylindrical shell under thermo-mechanical loads using differential quadrature method” J. Term. Stresses, Vol. 36, pp.160-188, (2013).
37
ORIGINAL_ARTICLE
Enhancing the low cycle fatigue strength of AA6061 aluminum alloy by using the optimized combination of ECAP and precipitation hardening
In the present study, mechanical properties and low cycle fatigue behavior of a solid-solutionized AA6061 aluminum alloy produced by equal channel angular pressing (ECAP) process were investigated. The grain refinement after two passes of ECAP significantly increased the yield stress and ultimate tensile stress and decreased the ductility of the alloy. However, the improvement of low cycle fatigue strength was not as remarkable as expected. Post-ECAP aging heat treatment to the peak-aging condition imposed a notable change in the strength and ductility of the alloy so that its fatigue strength partly enhanced. An optimized combination of grain refinement and distributed fine precipitates in the matrix of the alloy was achieved by conducting aging heat treatment between passes of ECAP. The proposed procedure was proved to yield the best combination of strength and ductility, better distribution and size of precipitates, and thus a remarkable improvement in the low cycle fatigue response of the investigated material.
http://jcarme.srttu.edu/article_603_bb037e98d5df9759355728df052ab91f.pdf
2017-03-03T11:23:20
2018-03-19T11:23:20
115
127
10.22061/jcarme.2017.603
Low cycle fatigue
Equal channel angular Al alloy
Ultra-fine grained microstructure
Precipitation hardening
M.
Jooybari
true
1
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
J.
Shahbazi Karami
true
2
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
AUTHOR
M.
Sheikhi
m.sheikhi@srttu.edu
true
3
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
LEAD_AUTHOR
[1] G. E. Totten, C. E. Bates and G. M. Webster, “Physical Metallurgy and Processes”, Handbook of Aluminum, Eds. G. E. Totten, and D. S. MacKenzie, Marcel Dekker Inc., New York, Vol. 1, (2003).
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2
[3] Y. Estrin, M. Yu. Murashkin, R. Z. Valiev, “Ultrafine grained aluminium alloys: processes, structural features and properties”, Fundamentals of Aluminium Metallurgy: Production, Processing and Applications, Eds. R. Lumley, Woodhead Publishing Limited, Cambridge, pp. 468-503, (2010).
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[4] R. Z. Valiev, R. K. Islamgaliev, and I. V. Alexandrov, “Bulk nanostructured materials from severe plastic deformation”, Prog. Mater. Sci., Vol. 45, pp. 103-189, (2000).
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[14] A. Gholinia, P. B. Prangnell, and M. V. Markushev, “The effect of strain path on the development of deformation structures in severely deformed aluminium alloys processed by ECAE”, Acta Mater., Vol. 48, pp. 1115-1130, (2000).
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[15] R. Z. Valiev, and T. G. Langdon, “Principles of equal-channel angular pressing as a processing tool for grain refinement”, Prog Mater Sci., Vol. 51, pp. 881-981, (2006).
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[17] Y. W. Tham, M. W. Fu, H. H. Hng, M.S. Yong, and K. B. Lim, “Bulk nanostructured processing of aluminum alloy”, J. Mater. Process. Technol., Vol. 192, pp. 575-581, (2007).
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[19] S. Malekjani, P. D. Hodgson, P. Cizek, I. Sabirov, and T. B. Hilditch, “Cyclic deformation response of UFG 2024 Al alloy”, Int. J. Fatigue, Vol. 33, pp. 700-709 (2011).
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combining equal-channel angular
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