Modelling of nucleation and void growth in dynamic pressure loading, application to spall test on tantalum

International Journal of Fracture

Volumn 141, Issue 1-2, 2006, Pages 177-194

  Czarnota, Christophe ^a   Mercier, Sébastien ^a   Molinari, Alain ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Ductile fracture; Dynamics; Micro inertia; Nucleation and growth; Spall

Indexed keywords

CRACK PROPAGATION; DYNAMIC LOADS; MATHEMATICAL MODELS; POROSITY; PRESSURE EFFECTS; PROBABILITY; TANTALUM;

DYNAMIC DUCTILE FRACTURE; DYNAMIC PRESSURE LOADING; WEIBULL PROBABILITY;

DUCTILE FRACTURE;

EID: 33845330615     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-006-0070-y     Document Type: Article

References (40)

1. JM Ball 1982 Discontinuous equilibrium solutions and cavitation in nonlinear elasticity Philos Trans R Soc London Ser A 306 557-611 0513.73020 1982RSPTA.306..557B
2. MM Carroll AC Holt 1972 Static and dynamic pore- collapse relations for ductile porous materials J Appl Phys 43 1626-1636 10.1063/1.1661372 1972JAP....43.1626C
3. R Cortes 1992 The growth of microvoids under intense dynamic loading Int J Solids Struct 29 1339-1350 10.1016/0020-7683(92)90082-5
4. DR Curran L Seaman DA Shockey 1987 Dynamic failure of solids Phys Rep 147 5-6 253-388 10.1016/0370-1573(87)90049-4 1987PhR...147..253C
5. JM Duva 1986 A constitutive description of nonlinear materials containing voids Mech Mater 5 137-144 10.1016/0167-6636(86)90029-3
6. J Eftis C Carrasco RA Osegueda 2003 A constitutive-microdamage model to simulate hypervelocity projectile-target impact, material damage and fracture Int J Plast 19 1321-1354 1023.74040 10.1016/ S0749-6419(02)00036-0
7. J Eftis JA Nemes 1991 Evolution equation for the void volume growth rate in a viscoplastic-damage constitutive model Int J Plast 7 275-293 0761.73084 10.1016/0749-6419(91)90036-X
8. TF Guo L Cheng 2001 Thermal and vapor pressure effects on cavitation and void growth J Mater Sci 36 5871-5879 10.1023/A:1012924626044
9. AL Gurson 1977 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 2-15
10. R Hill 1950 The mathematical theory of plasticity Oxford University Press Oxford 0923.73001
11. CO Horgan DA Polignone 1995 Cavitation in nonlinearly elastic solids: A review Appl Mech Rev 48 471-485
12. Y Huang 1991 Accurate dilatation rates for spherical voids in triaxial stress fields J Appl Mech 58 4 1084-1086
13. Y Huang JW Hutchinson V Tvergaard 1991 Cavitation instabilities in elastic-plastic solids J Mech Phys Solids 39 223-241 10.1016/ 0022-5096(91)90004-8
14. JN Johnson 1981 Dynamic fracture and spallation in ductile solids J Appl Phys 52 4 2812-2825 10.1063/1.329011 1981JAP....52.2812J
15. JN Johnson FL Addessio 1988 Tensile plasticity and ductile fracture J Appl Phys 64 12 6699-6712 10.1063/1.342000 1988JAP....64.6699J
16. H Klöcker F Montheillet 1988 Modeling the ductile growth of voids at high strain rates J Phys 49 C3-313C3318
17. JB Leblond G Perrin P Suquet 1994 Exact results and approximate models for porous viscoplastic solids Int J Plast 10 213-235 0821.73022 10.1016/ 0749-6419(94)90001-9
18. FA McClintock 1968 A criterion for ductile fracture by the growth of holes J Appl Mech 35 363-371
19. MA Meyers CT Aimone 1983 Dynamic fracture (spalling) of metals Prog Mater Sci 28 1-96 10.1016/0079-6425(83)90003-8
20. A Molinari S Mercier 2001 Micromechanical modelling of porous materials under dynamic loading J Mech Phys Solids 49 1497-1516 0989.74008 10.1016/ S0022-5096(01)00003-5
21. A Molinari TW Wright 2005 A physical model for nucleation and early growth of voids in ductile materials under dynamic loading J Mech Phys Solids 53 1476-1504 10.1016/j.jmps.2005.02.010
22. A Needleman 1972 Void growth in an elastic-plastic medium J Appl Mech 41 964-970
23. Needleman A, Tvergaard V, Hutchinson JW (1992) Void growth in plastic solids. In: Argon AS (ed). Topics in Fracture and Fatigue Springer-Verlag, Berlin
24. E Olevsky V Skorohod 1988 Some questions of sintering of porous bodies Int J Plast 16 1-37 10.1016/S0749-6419(99)00032-7
25. M Ortiz A Molinari 1992 Effect of strain hardening and rate sensitivity on the dynamic growth of a void in a plastic material J Appl Mech 114 48-53
26. JR Rice DM Tracey 1969 On the ductile enlargement of voids in triaxial stress fields J Mech Phys Solids 17 201-217 10.1016/0022-5096(69)90033-7
27. Roy G (2003) Vers une modélisation approfondie de l'endommagement ductile dynamique. Investigation expérimentale d'une nuance de tantale et développements théoriques. Ph.D. thesis, Ecole Nationale Supérieure de Mécanique et d' Aéronautique, Université de Poitiers, France
28. TR Thomason 1999 Ductile spallation fracture and the mechanics of void growth and coalescence under shock-loading conditions Acta Mater 47 13 3633-3646 10.1016/S1359-6454(99)00223-2
29. W Tong G Ravichandran 1993 Dynamic pore collapse in viscoplastic materials J Appl Phys 74 2425-2435 10.1063/1.354678 1993JAP....74.2425T
30. W Tong G Ravichandran 1995 Inertial effects on void growth in porous viscoplastic materials Trans ASME: J Appl Mech 62 633-639
31. Tonks DL, Zurek AK, Thissel WR (2002) Void coalescence models for ductile damage. In: International workshop on new models and hydrocodes for shock wave processes in condensed matter Edinburgh
32. V Tvergaard 1981 Influence of voids on shear band instabilities under plain strain conditions Int J Frac 17 389-407 10.1007/BF00036191
33. V Tvergaard 1982 On localization in ductile materials containing spherical voids Int J Frac 18 237-252
34. V Tvergaard Y. Huang JW Hutchinson 1992 Cavitation instabilities in a power hardening elastic-plastic solid Eur J Mech Ser A, Solids 11 215-231
35. V Tvergaard A Needleman 1984 Analysis of cup-cone fracture in a round tensile bar Acta Metall 32 157-169 10.1016/0001-6160(84)90213-X
36. ZP Wang 1997 Void-containing nonlinear materials subject to high-rate loading J Appl Phys 81 7213-7227 10.1063/1.365320 1997JAP....81.7213W
37. W Weibull 1951 A statistical distribution of wide applicability J Appl Mech 18 293-297 0042.37903
38. Wright TW, Ramesh KT, Molinari A (2005) Status of statistical modeling for damage from nucleation and growth of voids. In: 14th APS Topical Conference on Shock Compression of Condensed Matter
39. Wright TW, Schoenfeld SE, Ramesh KT, Wu XY (2004) Progress in computational models for damage from shear bands and voids. In: (Furnish M, Gupta Y, Forbes J) (eds) Shock Compression of Condensed Matter-2003: Proceedings of the Conference of the American Physical Society Topical Group on Shock of Condensed Matter, Part I vol. 706, Portland, Or, pp. 629-632
40. XY Wu KT Ramesh TW Wright 2003 The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading J Mech Phys Solids 51 1-26 1023.42009 10.1016/S0022-5096(02)00079-0