Plastic size effect analysis of lamellar composites using a discrete dislocation plasticity approach

International Journal of Plasticity

Volumn 27, Issue 12, 2011, Pages 2040-2055

  Okumura, Dai ^a   Ohno, Nobutada ^a   Yamaguchi, Koji ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Composites; Discrete dislocations; Finite elements; Homogenization; Plastic size effects

Indexed keywords

DISCRETE DISLOCATION PLASTICITY; DISCRETE DISLOCATIONS; DISPLACEMENT FIELD; ELASTIC LAYERS; ELASTIC-PLASTIC; FINITE ELEMENTS; HOMOGENEOUS MEDIUM; HOMOGENIZATION; LONG RANGE; PERIODIC BOUNDARY VALUE PROBLEMS; PERIODIC HOMOGENIZATION; PILE-UPS; REPRESENTATIVE VOLUME ELEMENTS; SIZE EFFECTS; SLIP PLANE; SUPERPOSITION METHOD;

COMPOSITE MATERIALS; ELASTOPLASTICITY; HOMOGENIZATION METHOD; HYDROELASTICITY; PILES; PLASTICITY; SIZE DETERMINATION; STRAIN HARDENING;

EDGE DISLOCATIONS;

EID: 80053615123     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.04.003     Document Type: Conference Paper

References (37)

1. S. Akarapu, H.M. Zbib, and D.F. Bahr Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression International Journal of Plasticity 26 2010 239 257
2. D.S. Balint, V.S. Deshpande, A. Needleman, and E. Van der Giessen Discrete dislocation plasticity analysis of the grain size dependence of the flow strength of polycrystals International Journal of Plasticity 24 2008 2149 2172
3. T. Belytschko, and R. Gracie On XFEM applications to dislocations and interfaces International Journal of Plasticity 23 2007 1721 1738 (Pubitemid 47212645)
4. A. Bensoussan, J.L. Lions, and G. Papanicolaou Asymptotic Analysis for Periodic Structures 1978 Amsterdam North-Holland
5. H.H.M. Cleveringa, E. Van der Giessen, and A. Needleman Comparison of discrete dislocation and continuum plasticity predictions for a composite material Acta Materialia 45 1997 3163 3179 (Pubitemid 127376166)
6. K. Danas, V.S. Deshpande, and N.A. Fleck Compliant interfaces: a mechanism for relaxation of dislocation pile-ups in a sheared single crystal International Journal of Plasticity 26 2010 1792 1805
7. B. Devincre, and L.P. Kubin Simulations of forest interactions and strain hardening in FCC crystals Modelling and Simulation in Materials Science and Engineering 2 1994 559 570
8. J.A. El-Awady, S.I. Rao, C. Woodward, D.M. Dimiduk, and M.D. Uchic Trapping and escape of dislocations in micro-crystals with external and internal barriers International Journal of Plasticity 27 2011 372 387
9. A. El-Azab The boundary value problem of dislocation dynamics Medelling and Simulation in Materials Science and Engineering 8 2000 37 54 (Pubitemid 30540421)
10. N.M. Ghoniem, and X. Han Dislocation motion in anisotropic multilayer materials Philosophical Magazine 85 2005 2809 2830 (Pubitemid 41643687)
11. R. Gracie, J. Oswald, and T. Belytschko On a new extended finite element method for dislocations: core enrichment and nonlinear formulation Journal of the Mechanics and Physics of Solids 56 2008 200 214
12. A.N. Gulluoglu, D.J. Srolovitz, R. LeSar, and P.S. Lomdahl Dislocation distributions in two dimensions Scripta Metallurgica 23 1989 1347 1352 (Pubitemid 20644048)
13. R. Hill Elastic properties of reinforced solids: some theoretical principles Journal of the Mechanics and Physics of Solids 11 1963 357 372
14. J.P. Hirth, and J. Lothe Theory of Dislocations second ed. 1982 John Wiley & Sons
15. C. Lemarchand, B. Devincre, and L.P. Kubin Homogenization method for a discrete-continuum simulation of dislocation dynamics Journal of the Mechanics and Physics of Solids 49 2001 1969 1982 (Pubitemid 32770975)
16. Z.L. Liu, X.M. Liu, Z. Zhuang, and X.C. You A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales International Journal of Plasticity 25 2009 1436 1455
17. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 1993 North-Holland
18. N. Nicola, Y. Xiang, J.J. Vlassak, E. Van der Giessen, and A. Needleman Plastic deformation of freestanding thin films: experiments and modeling Journal of the Mechanics and Physics of Solids 54 2006 2089 2110 (Pubitemid 44118372)
19. T. Ohashi, M. Kawamukai, and H. Zbib A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals International Journal of Plasticity 23 2007 897 914 (Pubitemid 46187318)
20. N. Ohno, D. Okumura, and H. Noguchi Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation Journal of the Mechanics and Physics of Solids 50 2002 1125 1153 (Pubitemid 34247631)
21. D. Okumura, Y. Higashi, K. Sumida, and N. Ohno A homogenization theory of strain gradient single-crystal plasticity and its finite element discretization International Journal of Plasticity 23 2007 1148 1166 (Pubitemid 46498678)
22. D. Okumura, N. Ohno, and Y. Katagiri Formulation of a homogenization theory for discrete dislocation dynamics analysis Journal of the Society of Materials Science Japan 59 2010 149 156 (in Japanese)
23. D. Okumura, N. Ohno, and H. Noguchi Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids Journal of the Mechanics and Physics of Solids 52 2004 641 666
24. J. Segurado, and J. Llorca Discrete dislocation dynamics analysis of the effect of lattice orientation on void growth in single crystals International Journal of Plasticity 26 2010 806 819
25. X.H. Shao, Z.Q. Yang, and X.L. Ma Strengthening and toughening mechanisms in Mg-Zn-Y alloys with a long period stacking ordered structure Acta Materiallia 58 2010 4760 4771
26. S.S. Shishvan, S. Mohammadi, M. Rahimian, and E. Van der Giessen Plane-strain discrete dislocation plasticity incorporating anisotropic elasticity International Journal of Solids and Structures 48 2011 374 387
27. Suquet, P.M., 1987. Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia, E., Zaoui, A. (Eds.), Homogenization Techniques for Composite Media, Lecture Notes in Physics, vol. 272, Springer, Berlin, pp. 193-278.
28. A. Takahashi, and N.M. Ghoniem A computational method for dislocation-precipitate interaction Journal of the Mechanics and Physics of Solids 56 2008 1534 1553 (Pubitemid 351400778)
29. T. Tsuru, Y. Shibutani, and Y. Kaji Nanoscale contact plasticity of crystalline metal: experiment and analytical investigation via atomistic and discrete dislocation models Acta Materialia 58 2010 3096 3102
30. E. Van der Giessen, and A. Needleman Discrete dislocation plasticity: a simple planar model Modelling and Simulation in Materials Science and Engineering 3 1995 689 735
31. J. Weertman Dislocation Based Fracture Mechanics 1996 World Scientific Publishing
32. X. Wu, and N. Ohno A homogenization theory for time-dependent nonlinear composites with periodic internal structures International Journal of Solids and Structures 36 1999 4991 5012 (Pubitemid 29373461)
33. Z. Xia, Y. Zhang, and F. Ellyin A unified periodical boundary conditions for representative volume elements of composites and applications International Journal of Solids and Structures 40 2003 1907 1921 (Pubitemid 36352478)
34. K. Yashiro, F. Kurose, Y. Nakashima, K. Kubo, Y. Tomita, and H.M. Zbib Discrete dislocation dynamics simulation of cutting of γ′ precipitate and interfacial dislocation network in Ni-based superalloys International Journal of Plasticity 22 2006 713 723 (Pubitemid 41759805)
35. H.M. Zbib, M. Rhee, and J.P. Hirth On plastic deformation and the dynamics of 3D dislocations International Journal of Mechanical Sciences 40 1998 113 127 (Pubitemid 128391352)
36. H.M. Zbib, and T.D. De la Rubia A multiscale model of plasticity International Journal of Plasticity 18 2002 1133 1163 (Pubitemid 34660595)
37. M. Zhang, J. Zhang, and D.L. McDowell Microstructure-based crystal plasticity modeling of cyclic deformation of Ti-6Al-4V International Journal of Plasticity 23 2007 1328 1348 (Pubitemid 46660457)