An internal state variable damage model in crystal plasticity

Mechanics of Materials

Volumn 39, Issue 10, 2007, Pages 941-952

  Potirniche, G P ^a   Horstemeyer, M F ^a   Ling, X W ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Crystal plasticity; Damage; Nucleation; Polycrystals; Void growth

Indexed keywords

CRYSTALLOGRAPHY; DAMAGE DETECTION; ELASTICITY; PLASTIC DEFORMATION; PLASTICITY; POLYCRYSTALS; STRESS ANALYSIS; THERMODYNAMIC PROPERTIES;

CRYSTAL PLASTICITY; POLYCRYSTALLINE PLASTICITY; VOID GROWTH; VOLUMETRIC DEFORMATION;

POLYCRYSTALLINE MATERIALS;

EID: 34250785670     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2007.04.004     Document Type: Article

References (39)

1. Ahzi S., and Schoenfeld S.E. Mechanics of porous polycrystals: a fully anisotropic flow potential. Int. J. Plasticity 14 (1998) 829-839
2. ASM handbook. Mechanical Testing and Evaluation vol. 8 (2000), ASM International, Materials Park, OH
3. Bammann D.J., and Aifantis E.C. A damage model for ductile metals. Nucl. Eng. Des. 116 (1989) 355-362
4. Benson D. The effect of void cluster size on ductile fracture. Int. J. Plasticity 11 (1995) 571-582
5. Budianski B.J., Hutchinson J.W., and Slutsky S. Void growth and collapse in viscous solids. In: Hopking H.G., and Sewell M.J. (Eds). Mechanics of Solids: The Rodney Hill 60th Anniversary Volume (1982), Pergamon Press, Oxford 13-45
6. Cocks A.C.F., and Ashby M.F. Intergranular fracture during power law creep under multiaxial stresses. J. Metal. Sci. 14 (1980) 395-402
7. Cocks A.C.F., and Ashby M.F. On creep by void growth. Prog. Mater. Sci. 27 (1982) 189-244
8. Cuitiño A.M., and Ortiz M. Ductile fracture by vacancy condensation in fcc single crystals. Acta Mater. 44 (1996) 427-436
9. Gan Y.X., Kysar J.W., and Morse T.L. Cylindrical void in a rigid-ideally plastic single crystal II: experiments and simulations. Int. J. Plasticity 22 (2006) 39-72
10. Garrison W.M., and Moody N.R. Ductile fracture. J. Phys. Chem. Solids 48 (1987) 1035-1074
11. Gologanu M., Leblond J.-B., and Devaux J. Approximate models for ductile metals containing non-spherical voids. Case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 (1993) 1723-1754
12. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth-1. Yield criteria and flow rules for porous ductile media. J. Eng. Mat. Tech. 99 (1977) 2-15
13. Horstemeyer, M.F., 2001. From atoms to autos: a new design paradigm using microstructure-property modeling. Part 1: monotonic loading. Sandia National Laboratories.
14. Horstemeyer, M.F., 2006. Unpublished research results. Center for Advanced Vehicular Systems, Mississippi State University.
15. Horstemeyer M.F., and Gokhale A. A void-crack nucleation model for ductile materials. Int. J. Solids Struct. 36 (1999) 5029-5055
16. Horstemeyer M.F., and McDowell D.L. Modeling effects of dislocation substructure in polycrystal elasto-viscoplasticity. Mech. Mater. 27 (1998) 145-163
17. Horstemeyer M.F., and Ramaswamy S. On factors affecting localization and void growth in ductile metals: a parametric study. Int. J. Damage Mech. 9 (2000) 5-28
18. Horstemeyer M.F., Lathrop J., Gokhale A.M., and Dighe M. Modeling stress state dependent damage evolution in a cast Al-Si-Mg aluminum alloy. Theor. Appl. Fract. Mech. 33 (2000) 31-47
19. Horstemeyer M.F., Matalanis M.M., Sieber A.M., and Botos M.L. Micromechanical finite element calculations of temperature and void configurations effects on void growth and coalescence. Int. J. Plasticity 16 (2000) 979-1015
20. Horstemeyer M.F., Ramaswamy S., and Negrete M. Using a micromechanical finite element parametric study to motivate a phenomenological macroscale model for void/crack nucleation in aluminum with a hard second phase. Mech. Mater. 35 (2003) 675-687
21. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 41 (1988) 7267-7285
22. Kysar J.W., Gan Y.X., and Arzuza G.M. Cylindrical void in a rigid-ideally plastic single crystal. Part I: anisotropic slip line theory solution for face centered cubic crystals. Int. J. Plasticity 21 (2005) 1461-1657
23. Ling X.W., Horstemeyer M.F., and Potirniche G.P. On the numerical implementation of 3D rate-dependent single crystal plasticity formulations. Int. J. Num. Meth. Eng. 63 (2005) 548-568
24. Lu F., Guang Z., Ke-shi Z., Xu J.Q., and Hai-dong Y. On analysis of the elasto-viscoplastic response of single crystals with anisotropic damage: constitutive modelling and computational aspects. Int. J. Numer. Meth. Eng. 61 (2004) 406-432
25. McClintock F.A. A criterion for ductile fracture by the growth of holes. ASME J. Appl. Mech. 35 (1968) 363-371
26. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54 (1987) 525-531
27. Orsini V.C., and Zikry M.A. Void growth and interaction in crystalline materials. Int. J. Plasticity 17 (2001) 1393-1417
28. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids 17 (2000) 201-217
29. Potirniche G.P., Hearndon J.L., Horstemeyer M.F., and Ling X.W. Lattice orientation effects on void growth and coalescence in fcc single crystals. Int. J. Plasticity 22 (2006) 921-942
30. Qi W., and Bertram A. Anisotropic continuum damage modeling for single crystals at high temperatures. Int. J. Plasticity 15 (1999) 1197-1215
31. Regueiro R.A., Bammann D.J., Marin E.B., and Garikipati K. A nonlocal phenomenological anisotropic finite deformation plasticity model accounting for dislocation defects. J. Eng. Mater. Technol. 124 (2002) 380-387
32. Rice J.R., and Tracey D.M. On ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids 17 (1969) 201-217
33. Schacht T., Untermann N., and Steck E. The influence of crystallographic orientation on the deformation behaviour of single crystals containing microvoids. Int. J. Plasticity 19 (2003) 1605-1626
34. Seaman L., Curran D.R., and Shockey D.A. Computational models for ductile and brittle fracture. J. Appl. Phys. 42 (1976) 4814-4826
35. Shu J.Y. Scale-dependent deformation of porous single crystals. Int. J. Plasticity (1998) 1085-1107
36. Stevens A.L., Davidson L., and Warren W.E. Spall fracture in aluminum monocrystals: a dislocation-dynamics approach. J. Appl. Phys. 43 (1972) 4922-4927
37. Taylor G.I. Plastic strains in metals. J. Inst. Met. 62 (1938) 307
38. Tvergaard V. Ductile fracture by cavitation between larger voids. J. Mech. Phys. Solids 30 (1982) 265-286
39. Tvergaard V. Material failure by void growth to coalescence. Adv. Appl. Mech. 27 (1990) 83-151