Damage model for anisotropic materials, and its application to analysis of stability and spallation

International Journal of Impact Engineering

Volumn 34, Issue 11, 2007, Pages 1780-1796

  Wei, Z G ^a   Batra, R C ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Damage model; Material anisotropy; Sheet necking; Spallation; Void growth

Indexed keywords

ANISOTROPY; CRACKS; DAMAGE DETECTION; DEFORMATION; LINEAR STABILITY ANALYSIS; MATHEMATICAL MODELS;

DAMAGE MODEL; MATERIAL ANISOTROPY; SHEET NECKING; SPALLATION STRENGTH; VOID GROWTH;

SHEET METAL;

EID: 34249932260     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2006.10.002     Document Type: Article

References (56)

1. Curran D.R., Seaman L., and Shockey D.A. Dynamic failure of solids. Phys Rep 147 (1987) 253-388
2. Voyiadjis G.Z., Palazotto A.N., and Gao X.L. Modeling of metallic materials at high strain rates with continuum damage mechanics. Appl Mech Rev 55 (2002) 481-493
3. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17 (1969) 210-217
4. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I-yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99 (1977) 2-15
5. Ke F.J., Bai Y.L., and Xia M.F. Evolution of ideal micro-crack system. Sci China (Ser A) 33 (1990) 1447-1459
6. Bai Y.L., Ke F.J., and Xia M.F. Formulation of statistical evolution of microcracks in solids. Acta Mech Sinica 7 (1991) 59-66
7. Bai Y.L., Ling Z., Luo L.M., and Ke F.J. Initial development of microdamage under impact loading. J Appl Mech 59 (1992) 622-627
8. Bai Y.L., Bai J., Li H.L., Ke F.J., and Xia M.F. Damage evolution, localization and failure of solids subjected to impact loading. Int J Impact Eng 24 (2000) 685-701
9. Bai Y.L., Xia M.F., Ke F.J., and Li H.L. Statistical microdamage mechanics and damage field evolution. Theor Appl Fract Mech 37 (2001) 1-10
10. Wei Z.G., and Batra R.C. Dependence of instability strain upon damage in thermoviscoplastic materials. Arch Mech 54 (2002) 691-707
11. Liao K.C., Pan J., and Tang S.C. Approximate yield criteria for anisotropic porous ductile sheet metals. Mech Mater 26 (1997) 213-226
12. Chien W.Y., Pan J., and Tang S.C. Modified anisotropic Gurson yield criterion for porous ductile sheet metals. J Eng Mater Technol 123 (2001) 409-416
13. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc Roy Soc London Ser A 193 (1948) 281-297
14. Hill R. The mathematical theory of plasticity (1950), Oxford University Press, Oxford
15. Carroll M.M., and Holt A.C. Static and dynamic pore-collapse relations for ductile porous materials. J Appl Phys 43 (1972) 1626-1636
16. Johnson J.N. Dynamic fracture and spallation in ductile solids. J Appl Phys 52 (1981) 2812-2815
17. Huang Y., Hutchinson J.W., and Tvergaard V. Cavitation instabilities in elastic-plastic solids. J Mech Phys Solids 39 (1991) 223-241
18. Huang Y. Accurate dilatation rates for spherical voids in triaxial stress fields. J Appl Mech 58 (1991) 1084-1086
19. Molinari A., and Wright T.W. A physical model for nucleation and early growth of voids in ductile materials under dynamic loading. J Mech Phys Solids 53 (2005) 1476-1504
20. Hanim S., and Ahzi S. A unified approach for pressure and temperature effects in dynamic failure criteria. Int J Plasticity 17 (2001) 1215-1244
21. Zhang C.S., Zou S., and Zhang B.P. Damage evolution of ductile material under impact loading. Mech Res Commun 33 (2006) 26-34
22. Seaman L., Curran D.R., and Shockey D.A. Computational models for ductile and brittle fracture. J Appl Phys 47 (1976) 4814-4826
23. Feng J.B., Jing F.Q., and Zhang G.R. Dynamic ductile fragmentation and the damage function model. J Appl Phys 81 (1997) 2575-2578
24. Li H.L., and Huang Z.P. A statistical model of microvoids' evolution in rate sensitive ductile materials: solution for high stress triaxiality cases. Int J Damage Mech 8 (1999) 41-60
25. Considère A. L'emploi du fer et L'acier Dans Les Constructions. Ann Ponts Chaussées 9 (1885) 574-775
26. Swift W. Plastic instability under plane stress. J Mech Phys Solids 1 (1952) 1-18
27. Mellor P.B. Plastic instability in tension. The Engineer 209 (1960) 517-521
28. Moore G.G., and Wallace J.F. The effect of anisotropy on instability in sheet-metal forming. J Inst Met 93 (1964) 33-38
29. Hill R. On discontinuous plastic states with special reference to localized necking in thin sheets. J Mech Phys Solids 1 (1952) 19-30
30. Hecker S.S. Formability of aluminum alloy sheet. ASME J Eng Mater Technol 97 (1975) 66-73
31. Keeler S.P., Plastic instability and fracture in sheets stretched over rigid punches. ScD thesis, Massachusetts Institute of Technology, Cambridge, MA, 1961.
32. Marciniak Z., and Kuczynski K. Limit strains in the process of stretch-forming sheet metals. Int J Mech Sci 9 (1967) 609-620
33. McGinty R.C., and McDowell D.L. Application of multiscale crystal plasticity models to forming limit diagrams. J Eng Mater Technol 126 (2004) 285-290
34. Batra R.C. Steady state penetration of thermoviscoplastic targets. Comput Mech 3 (1988) 1-12
35. Litonski J. Plastic flow of a tube under adiabatic torsion. Bull Acad Pol Sci 25 (1977) 7-17
36. Batra R.C., and Kim C.H. Effect of thermal conductivity on the initiation, growth and band width of adiabatic shear bands. Int J Eng Sci 29 (1991) 949-960
37. Batra R.C., and Lear M.H. Adiabatic shear banding in plane strain tensile deformations of eleven thermoelastoviscoplastic materials with finite thermal wave speed. Int J Plasticity 21 (2005) 1521-1545
38. Batra R.C., and Jaber N.A. Failure mode transition speeds in an impact loaded prenotched plate with four thermoviscoplastic relations. Int J Fract 110 (2001) 47-71
39. Müschenborn W., and Sonne H. Influence of the strain path on the forming limits of sheet metal. Arch Eisenhüttenwes 46 (1975) 597-602
40. Fyfe I.M., and Rajendran A.M. Dynamic pre-strain and inertia effects on the fracture of metals. J Mech Phys Solids 28 (1980) 17-26
41. Tuǧcu P. Inertial effects in ductile failure of cylindrical tubes under internal pressure. Int J Impact Eng 18 (1996) 539-563
42. Batra R.C. Effect of nominal strain-rate on the initiation and growth of adiabatic shear bands in steels. J Appl Mech 55 (1988) 229-230
43. Wu X.Y., Ramesh K.T., and Wright T.W. The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading. J Mech Phys Solids 51 (2003) 1-26
44. Rajendran A.M., and Fyfe I.M. Inertia effects on the ductile failure of thin rings. J Appl Mech 49 (1982) 31-36
45. Ghosh A.K. The influence of strain hardening and strain-rate sensitivity on sheet metal forming. J Eng Mater Technol 99 (1977) 264-274
46. Brunet M., and Morestin F. Experimental and analytical necking studies of anisotropic sheet metals. J Mater Process Technol 112 (2001) 214-226
47. Campos H.B., Butuc M.C., Grácio J.J., Rocha J.E., and Duarte J.M.F. Theoretical and experimental determination of the forming limit diagram for the AISI 304 stainless steel. J Mater Process Technol 179 (2000) 56-60
48. Goto D.M., Bingert J.F., Reed W.R., and Garrett R.K. Anisotropy-corrected MTS constitutive strength modeling in HY-100 steel. Scr Mater 42 (2000) 1125-1131
49. Batra R.C., Wang, and Zhicun. Failure mode transition speed in three-dimensional transient deformations of a microporous heat-conducting thermoelastoviscoplastic prenotched plate. J Therm Stresses 28 (2005) 533-562
50. Grady D.E. The spall strength of condensed matter. J Mech Phys Solids 36 (1988) 353-384
51. Rajendran A.M., Dietenberger M.A., and Grove D.J. A void growth-based failure model to describe spallation. J Appl Phys 65 (1989) 1521-1527
52. Randers-Phreson G, Rajendran, AM. Evolution of spall under multiaxial loading. In: Batra RC, editor. Constitutive laws theory experiments and numerical experimentation, 1995. p. 52-61.
53. Campagne L., Daridon L., and Ahzi S. A physically based model for dynamic failure in ductile metals. Mech Mater 37 (2005) 869-886
54. Seaman L, Barbee JR, Curran DR. Dynamic fracture criteria of homogeneous materials, AFWAL-TR-71-156, Stanford Research Institute.
55. Batra R.C., and Kim C.H. Analysis of shear banding in twelve materials. Int J Plasticity 8 (1992) 425-452
56. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture-Part I: experiments. Acta Mater 52 (2004) 4623-4638