Crystal plasticity: Micro-shear banding in polycrystals using voronoi tessellation

International Journal of Plasticity

Volumn 14, Issue 8, 1998, Pages 771-788

  Watanabe, Osamu ^a   Zbib, Hussein M ^b   Takenouchi, Eiji ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b Washington State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; CRYSTAL MICROSTRUCTURE; FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS; POLYCRYSTALS; STIFFNESS; TENSORS;

DELAUNAY NETWORK; MESOSCOPIC BEHAVIOR; MICRO-SHEAR BAND; TAYLOR-TYPE POLYCRYSTALLINE MODEL; VORONOI TESSELLATION;

PLASTICITY;

EID: 0032309075     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(98)00022-9     Document Type: Article

References (19)

1. Asaro, R. J. and Needleman, A. (1985) Texture development and strain hardening in rate dependent polycrystals. Acta Metall. 33, 923-953.
2. Dève, H. E. and Asaro, R. J. (1989) The development of plastic failure modes in crystalline materials: shear bands in fee polycrystals. Metall. Trans. 20A, 579.
3. Dève, H. E., Harren, S. V., Mccullough, C. and Asaro, R. J. (1988) Micro and macroscopic shear band formation in internally nitrided single crystals of Fe-Ti-Mn alloys. Acta Metall. 36(2), 341-365.
4. Guo, Z. and Watanabe, O. (1996) Study of accuracy of finite-element solutions in elastoplastic large deformation: effects of shape function and numerical integration, and application of mixed method. JSME International Journal, Ser. A 39(1), 99-107.
5. Harren, S. V. and Asaro, R. J. (1989) Nonuniform deformations in polycrystals and aspects of the validity of the taylor model. J. Mech. Phys. Solids 37(2), 191-232.
6. Harren, S. V., Dève, H. E. and Asaro, R. J. (1988) Shear band formation in plane strain compression. Acta Metall. 36(9), 2435-2480.
7. Mchugh, P. E., Asaro, R. J. and Shih, C. F. (1993) Computational modeling of metal matrix composite materials isothermal deformation patterns in ideal microstructures. Acta metall. mater. 41(5), 1461-1476.
8. Needleman, A., Asaro, R. J., Lemonds, J. and Peirce, D. (1985) Finite element analysis of crystalline solids. Comput. Meth. Appl. Mech. Engng. 52, 689-708.
9. Peirce, D., Asaro, R. J. and Needleman, A. (1982) An analysis of nonuniform and localized deformation in ductile single crystals. Acta Metall. 30, 1087-1119.
10. Peirce, D., Asaro, R. J. and Needleman, A. (1983) Material rate dependence and localized deformation in crystalline solids. Acta Metall. 31(12), 1951-1976.
11. Sloan, S. W. (1987) A fast algorithm for constructing delaunay triangulations in the plane. Adv. Eng. Software 9(1), 34-55.
12. Teramoto, D., Tomita, Y. and Zbib, H. M. (1996) Finite element simulation of localization behavior of crystals under a plane strain condition. Proc. JSME 964(1), 625-626.
13. Tomita, Y., Teramoto, D. and Ooki, H. (1995) Flow localization behavior of crystals under a high rate of deformation. Proc. JSME 95(2), 85-86.
14. Tvergaard, V., Needleman, A. and Lo, K. K. (1981) Flow localization in the plane strain tensile test. J. Mech. Phys. Solids 29(2), 115-142.
15. Zbib, H. M. (1993) On the mechanics of large inelastic deformations: kinematics and constitutive modeling. Acta Mechanica 96, 119-138.
16. Zbib, H. M. and Aifantis, E. C. (1992) On the gradient-dependent theory of plasticity and shear banding. Acta Mechanica 92, 209-225.
17. Zbib, H. M. and Jubran, J. S. (1992) Dynamic shear banding: a three -dimensional analysis. Int. J. Plasticity 8, 619-641.
18. Zhu, H. T., Zbib, H. M. and Aifantis, E. C. (1994) On the role of strain gradients in adiabatic shear banding. Acta Mechanica 111, 111-124.
19. Zhu, H. T., Zbib, H. M. and Aifantis, E. C. (1997) Strain gradients and continuum modeling of size effect in metal matrix composites. Acta Mechanica, 121, 165-176.