A physical model for nucleation and early growth of voids in ductile materials under dynamic loading

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 7, 2005, Pages 1476-1504

  Molinari, A ^a   Wright, T W ^b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b U S ARMY RESEARCH LABORATORY   (United States)

Author keywords

Dynamic void growth; Inertial effects; Spall; Statistics of void nucleation

Indexed keywords

CAVITATION; DEFORMATION; DUCTILITY; DYNAMIC LOADS; MATHEMATICAL MODELS; NUCLEATION; POROSITY; TENSILE STRESS; VISCOPLASTICITY;

DYNAMIC VOID GROWTH; INTERTIAL EFFECTS; SPALL FRACTURE; STATISTICS OF VOID NUCLEATION;

FRACTURE;

EID: 18444377389     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.02.010     Document Type: Article

References (27)

1. F.L. Addessio, and J.N. Johnson Rate-dependent failure model J. Appl. Phys. 74 1993 1640 1648
2. T. Antoun, L. Seaman, D.R. Curran, G.I. Kanel, S.V. Razorenov, and A.V. Utkin Spall Fracture 2003 Springer Berlin, New York
3. J.M. Ball Discontinuous equilibrium solutions and cavitation in nonlinear elasticity Phil. Trans. Roy. Soc. London A 306 1982 557 611
4. J. Belak Multi-scale applications to high strain-rate dynamic fracture J. Comput. Aided Mat. Design 9 2002 165 172
5. M.M. Carroll, and A.C. Holt Static and dynamic pore-collapse relations for ductile porous materials J. Appl. Phys. 43 1972 1626 1636
6. L. Davison, and R.A. Graham Shock compression of solids Phys. Rep. 55 1979 255 379
7. L. Davison, A.L. Stevens, and M.E. Kipp Theory of spall damage accumulation in ductile metals J. Mech. Phys. Solids 25 1977 11 28
8. Davison, L., Grady, D.E., Shahinpoor, M. (Eds.), 1996. High-Pressure Shock Compression of Solids II. Springer, Berlin, New York.
9. J. Eftis, and J.A. Nemes Evolution equation for the void volume growth rate in a viscoplastic-damage constitutive model Int. J. Plasticity 7 1991 275 293
10. D.E. Grady The spall strength of condensed matter J. Mech. Phys. Solids 36 1988 353 384
11. Gray, G.T., Bourne, N.K., Millet, J.C.F., Lopez, M.F., 2004. Influence of shock-wave profile shape ("Taylor-Wave" versus "Square- Topped") on the shock-hardening and spallation response of 316L stainless steel. In: Furnish, M.D., Gupta, Y.M., Forbes, J.W. (Eds.), Shock-Compression of Condensed Matter - 2003, AIP Conference Proceedings 706, AIP, Melville, NY, pp. 461-464.
12. R. Hill The Mathematical Theory of Plasticity 1950 Oxford University Press Oxford
13. Hixson, R.S., Gray, G.T., Rigg, P.A., Addessio, L.B., Yablinsky, C.A., 2004. Dynamic damage investigations using triangular waves. In: Furnish, M.D., Gupta, Y.M., Forbes, J.W. (Eds.), Shock-Compression of Condensed Matter - 2003, AIP Conference Proceedings 706, AIP, Melville, NY, pp. 469-472.
14. Y. Huang, J.W. Hutchinson, and V. Tvergaard Cavitation instabilities in elastic-plastic solids J. Mech. Phys. Solids 39 1991 223 241
15. J.N. Johnson, G.T. Gray, and N.K. Bourne Effect of pulse duration and strain rate on incipient spall fracture in copper J. Appl. Phys. 86 1999 4892 4901
16. Kanel', G.I., Razorenov, S.V., Utkin, A.V., 1996. In: Davison, L., Grady, D.E., Shahinpoor, M. (Eds.), Spallation in Solids under Shock-Wave Loading: Analysis of Dynamic Flow, Methodology of Measurements, and Constitutive Factors.
17. V.A. Lubarda, M.S. Schneider, D.H. Kalantar, B.A. Remington, and M.A. Meyers Void growth by dislocation emission Acta Mater. 52 2004 1397 1408
18. M.A. Meyers, and C.T. Aimone Dynamic fracture (spalling) of metals Prog. Mater. Sci. 28 1983 1 96
19. R.E. Rudd, and J.F. Belak Void nucleation and associated plasticity in dynamic fracture of polycrystalline copper an atomistic simulation Comput. Mater. Sci. 24 2002 148 153
20. L. Seaman, D.R. Curran, and D.A. Shockey Computational models for ductile and brittle fracture J. Appl. Phys. 47 1976 4814 4826
21. E.T. Seppälä, J. Belak, and R.E. Rudd Effect of stress triaxiality on void growth in dynamic fracture of metals a molecular dynamics study Phys. Rev. B 69 134101 2004 1 19
22. T.C.T. Ting Anisotropic Elasticity Theory and Applications 1996 Oxford University Press Oxford
23. Wright, T.W., Schoenfeld, S.E., Ramesh, K.T., Wu, X.Y., 2004. Progress in computational models for damage from shear bands and voids. In: Furnish, M.D., Gupta, Y.M., Forbes, J.F. (Eds.), Shock Compression of Condensed Matter - 2003, Part I, AIP Conference Proceedings 706, Melville, NY, pp. 629-632.
24. Wu, X.Y., 2002. The dynamic growth of voids in viscoplastic materials. Ph.D. Thesis, The Johns Hopkins University, Baltimore, MD.
25. X.Y. Wu, K.T. Ramesh, and T.W. Wright The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading J. Mech. Phys. Solids 51 2003 1 26
26. X.Y. Wu, K.T. Ramesh, and T.W. Wright The effects of thermal softening and heat conduction on the dynamic growth of voids Int. J. Solids Struct. 40 2003 4461 4478
27. X.Y. Wu, K.T. Ramesh, and T.W. Wright The coupled effects of plastic strain gradient and thermal softening on the dynamic growth of a single void Int. J. Solids Struct. 40 2003 6633 6651