Behaviour of voids in a shear field

International Journal of Fracture

Volumn 158, Issue 1, 2009, Pages 41-49

  Tvergaard, Viggo ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Contact; Large strains; Plasticity; Shear deformation; Voids

Indexed keywords

A-PLANE; CONTACT; CONTACT CONDITIONS; CONTACT STRESS; CYLINDRICAL VOIDS; DUCTILE MATERIALS; LARGE STRAINS; LOW STRESS; MICRO MECHANISMS; PLANE STRAINS; SHEAR FIELDS; STRESS STATE; SURFACE LOADS; VOIDS;

HYDRAULICS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; PLASTICITY; SHEAR DEFORMATION; STRAIN;

CRACKS;

EID: 67849118621     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-009-9364-1     Document Type: Article

References (23)

1. Anderson PM, Fleck NA, Johnson KL (1990) Localization of plastic deformation in shear due to microcracks. J Mech Phys Solids 38(5):681-699. doi: 10.1016/0022-5096(90)90028-3
2. Barsoum I, Faleskog J (2007a) Rupture mechanisms in combined tension and shear-micromechanics. Int J Solids Struct 44:5481-5498. doi: 10.1016/ j.ijsolstr.2007.01.010
3. Barsoum I, Faleskog J (2007) Rupture mechanisms in combined tension and shear-experiments. Int J Solids Struct 44: 1768-1786. doi: 10.1016/ j.ijsolstr.2006.09.031
4. Cowie JG, Azrib MA, Olson GB (1987) Micro-void formation during shear deformation of ultrahigh strength steels. In: Proceedings of 34th Sagamore army research conference
5. Danas K, Ponte Castaneda P (2009a) A finite-strain model for anisotropic viscoplastic media: I'theory. Eur J Mech A 28:387-401
6. Danas K, Ponte Castaneda P (2009b) A finite-strain model for anisotropic viscoplastic media: II'applications. Eur J Mech A 28:402-416
7. Durban D (1990) A comparative study of simple shear at finite strains of elastoplastic solids. Q J Mech Appl Math 43:449-465. doi: 10.1093/qjmam/ 43.4.449
8. Fleck NA, Hutchinson JW (1986) Void growth in shear. Proc R Soc Lond A 407:435-458
9. Fleck NA, Hutchinson JW, Tvergaard V (1989) Softening by void nucleation and growth in tension and shear. J Mech Phys Solids 37(4):515-540. doi: 10.1016/0022-5096(89)90027-6
10. Garrison WM Jr, Moody NR (1987) Ductile fracture. J Phys Chem Solids 48(11):1035-1074. doi: 10.1016/0022-3697(87)90118-1
11. Gologanu M, Leblond J, Perrin G, Devaux J (1997) Recent extensions of Gurson's model for porous ductile metals. In: Suquet P (eds) Continuum micromechanics. Springer-Verlag, Berlin, pp 61-106
12. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth-. Yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99: 2-15
13. Hutchinson JW (1973) Finite strain analysis of elastic-plastic solids and structures. In: Hartung RF (eds) Numerical solution of nonlinear structural problems. ASME, New York, p 17
14. Leblond J-B, Mottet G (2008) A theoretical approach of strain localization within thin planar bands in porous ductile materials. Comptes Rendus Mecanique 336:176-189
15. Nahshon K, Hutchinson J (2008) Modification of the Gurson model for shear failure. Eur J Mech A 27:1-17
16. Pedersen TØ (1998) Remeshing in analysis of large plastic deformations. Comput Struct 67:279-288. doi: 10.1016/ S0045-7949(98)00005-4
17. Sewell MJ (1965) On the calculation of potential functions defined on curved boundaries. In: Proc R Soc Lond A 286:402-411. doi: 10.1098/ rspa.1965.0153
18. Scheyvaerts F, Onck P, Bréchet Y, Pardoen T (2006) Void growth and coalescence under general loading conditions. Report, Université catholique de Louvain
19. Tvergaard V (1976) Effect of thickness inhomogeneities in internally pressurized elastic-plastic spherical shells. J Mech Phys Solids 24:291. doi: 10.1016/0022-5096(76)90027-2
20. Tvergaard V (1990) Material failure by void growth to coalescence. Adv Appl Mech 27:83-151. doi: 10.1016/S0065-2156(08)70195-9
21. Tvergaard V (1997) Studies of void growth in a thin ductile layer between ceramics. Comput Mech 20:186-191. doi: 10.1007/s004660050238
22. Tvergaard V (2004) On fatigue crack growth in ductile materials by cracktip blunting. J Mech Phys Solids 52:2149-2166. doi: 10.1016/ j.jmps.2004.02.007
23. Tvergaard V (2008) Shear deformation of voids with contact modeled by internal pressure. Int J Mech Sci 50:1459-1465. doi: 10.1016/ j.ijmecsci.2008.08.007