On the selection of active slip systems in crystal plasticity

International Journal of Plasticity

Volumn 21, Issue 11, 2005, Pages 2212-2231

  Busso, Esteban P ^a   Cailletaud, Georges ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

Multiaxial loading; Non smooth yield surfaces; Non uniqueness; Single crystal plasticity; Slip systems

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; CRYSTALLOGRAPHY; ENERGY DISSIPATION; HARDENING; MATHEMATICAL MODELS; SINGLE CRYSTALS; STRESS ANALYSIS; THERMODYNAMICS; VISCOPLASTICITY;

MULTIAXIAL LOADING; NON-SMOOTH YIELD SURFACES; NON-UNIQUENESS; SINGLE CRYSTAL PLASTICITY; SLIP SYSTEMS;

PLASTICITY;

EID: 22144443191     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.03.019     Document Type: Conference Paper

References (25)

1. L. Anand, and M. Kothari Elasto-viscoplastic constitutive equations for polycrystalline metals: Applications to tantalum J. Mech. Phys. Solids 44 1996 525 558
2. R.J. Asaro, and J.R. Rice Strain localization in ductile single crystals J. Mech. Phys. Solids 25 1977 309 338
3. R.J. Asaro Crystal plasticity J. Appl. Mech. 50 1983 921 934
4. J.L. Bassani Plastic flow of crystals Adv. Appl. Mech. 30 1994 191 258
5. J. Besson, R. Le Riche, R. Foerch, and G. Cailletaud Object-oriented programming applied to the finite element method. Part II: application to material behaviors Rev. Eur. Elements Finis 7 1998 567 588
6. J. Besson, G. Cailletaud, J.-L. Chaboche, and S. Forest Mechanique Non-Lineaire des Materiaux 2001 Hermes Sci. Europe Ltd Paris publ.
7. J.F.H. Bishop, and R. Hill A theory of the plastic distortion of a polycrystalline aggregate under combined stress Philos. Mag. 42 1951 414
8. Busso, E.P., 1990. Cyclic deformation of monocrystalline nickel aluminide and high temperature coatings. PhD Thesis, Department of Mechanical Engineering, Massachussetts Institute of Technology, Cambridge, MA, USA.
9. E.P. Busso, and F.A. McClintock A dislocation mechanics-based crystallographic model of a B2-Type intermetallic alloy Int. J. Plasticity 12 1996 1 28
10. E.P. Busso, and G. Cailletaud On the theoretical implementation of non-smooth domains. Part I: rate-dependent formulations J. Physique IV 105 2003 255 262
11. Cailletaud, G., 1987. Une approche micromécanique phénomenologique du comportement inélastique des métaux. PhD Thesis, University of Paris 6, France.
12. K.S. Cheong, and E.P. Busso Discrete dislocation density modelling of single crystal FCC polycrystals Acta Mater. 52 2004 5665 5675
13. P. Germain, Q.S. Nguyen, and P. Suquet Continuum thermodynamics J. Appl. Math. Mech. 50 1983 1010 1020
14. R. Hill Generalised constitutive relations for incremental deformation of metal crystals for multislip J. Mech. Phys. Solids 14 1966 95 102
15. R. Hill, and J.R. Rice Constitutive analysis of elastic-plastic crystals at arbitrary strain J. Mech. Phys. Solids 20 1972 401 413
16. J. Mandel Generalisation of the plasticity theory of WT Koiter Int. J. Solids Struct. 1 1965 273 295
17. McGinty, R.D., 2001. Multiscale representation of polycrystalline inelasticity. PhD Thesis, GWW School of Mechanical Engineering, Georgia Institute of Technology.
18. F. Meissonnier, E.P. Busso, and N.P. O'Dowd Finite element implementation of a generalised non-local rate-dependent crystallographic formulation for finite strains Int. J. Plasticity 17 4 2001 601 640
19. L. Meric, P. Poubanne, and G. Cailletaud Single crystal modeling for structural calculations: Part1: Model presentation J. Eng. Mater. Technol. 13 1991 162 170
20. L. Meric, and G. Cailletaud Single crystal modeling for structural calculations: Part 2: Finite element implementation J. Eng. Mater. Technol. 13 1991 171 182
21. D. Peirce, R.J. Asaro, and A. Needleman An analysis of non-uniform and localized deformation in ductile single crystals Acta Metall. 31 1983 1951 1972
22. J.R. Rice Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity J. Mech. Phys. Sol. 19 1971 433 455
23. M. Schmidt-Baldassari Numerical concepts for rate-independent single crystal plasticity Comp. Methods Appl. Mech. Engng. 192 2003 1261 1280
24. J. Simo, and T.J.R. Hughes Computational Inelasticity 1998 Springer New York (publ.)
25. G.I. Taylor Analysis of plastic strain in a cubic crystal J. Inst. Met. 62 1938 307 324