A finite thickness band method for ductile fracture analysis

International Journal of Plasticity

Volumn 25, Issue 12, 2009, Pages 2349-2365

  Huespe, A E ^a   Needleman, A ^b   Oliver, J ^c   Sanchez P J ^a  

^a UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^b Brown University   (United States)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

A. Ductile fracture modeling; B. Finite element methods; C. Embedded weak discontinuities; Localization of deformation; Regularization

Indexed keywords

A. DUCTILE FRACTURE MODELING; B. FINITE ELEMENT METHODS; C. EMBEDDED WEAK DISCONTINUITIES; LOCALIZATION OF DEFORMATION; REGULARIZATION;

CAVITATION; DEFORMATION; FINITE ELEMENT METHOD; SHOCK PROBLEMS;

DUCTILE FRACTURE;

EID: 70350231519     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.03.005     Document Type: Article

References (44)

1. Bai Y., and Wierzbicki T. A new model of metal plasticity and fracture with pressure and lode dependence. Int. J. Plasticity 24 (2008) 1071-1096
2. Barenblatt G. Mathematical theory of equilibrium cracks. Adv. Appl. Mech. 7 (1962) 56-129
3. Becker R., Needleman A., Richmond O., and Tvergaard V. Void growth and failure in notched bars. J. Mech. Phys. Solids 36 (1988) 317-351
4. Belytschko T., Loehnert S., and Song J. Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Int. J. Numer. Methods Eng. 73 (2008) 869-894
5. Besson J., Steglich D., and Brocks W. Modeling of crack growth in round bar and plane strain specimens. Int. J. Solids Struct. 38 (2001) 8258-8284
6. Besson J., Steglich D., and Brocks W. Modeling of plane strain ductile rupture. Int. J. Plasticity 19 (2003) 1517-1541
7. Cervera M., Agelet C., and Chiumenti M. COMET; Multi Purpose Coupled Nonlinear Program for Steady and Transient Conditions (2001), Technical University of Catalonia, Barcelona
8. Chu C., and Needleman A. Void nucleation effects in biaxially stretched sheets. J. Eng. Mater. Tech. 102 (1980) 249-256
9. Dugdale D. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8 (1960) 100-104
10. Gologanu M., Leblond J.-B., Perrin G., and Devaux J. Recent extensions of Gurson's model for porous ductile metals, continuum micromechanics. In: Suquet P. (Ed). CISM Courses and Lectures (1997), Springer-Verlag, New York 377
11. Gurson, A., 1975. Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth and Interaction. Ph.D. thesis, Brown University.
12. Hadamard, J., 1903. Leçons sur la propagation des ondes et les equations de l'hydrodynamique. Librairie Scientifique A. Hermann et Fils, Paris.
13. Hill R. Acellerations waves in solids. J. Mech. Phys. Solids 10 (1962) 1-16
14. Hillerborg A., Modéer M., and Petersson P. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement Concrete Res. 6 (1976) 773-782
15. Hughes T. Generalization of selective integration procedures to anisotropic and non-linear media. Int. J. Numer. Methods Eng. 15 (1980) 1413-1418
16. Leblond J., Perrin G., and Devaux J. Bifurcation effects in ductile metals with damage delocalization. J. Appl. Mech. 61 (1994) 236-242
17. Li Y., and Karr D. Prediction of ductile fracture in tension by bifurcation, localization, and imperfection analyses. Int. J. Plasticity. 25 (2009) 1128-1153
18. Linder C., and Armero F. Finite elements with embedded strong discontinuities for the modeling of failure in solids. Int. J. Numer. Methods Eng. 72 (2007) 1391-1433
19. Lorentz E., Besson J., and Cano V. Numerical simulation of ductile fracture with the rousselier constitutive law. Comput. Methods Appl. Mech. Eng. 197 (2008) 1965-1982
20. Manzoli O., and Shing P. A general technique to embed non-uniform discontinuities into standard solid finite elements. Comput. Struct. 84 (2006) 742-757
21. Moes N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46 (1999) 131-150
22. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54 (1987) 525-531
23. Needleman A., and Rice J. Limits to ductility set by plastic flow localization. Mechanics of Sheet Metal Forming (1978), Plenum Press, New York pp. 237-265
24. Needleman A., and Tvergaard V. An analysis of ductile rupture in notched bars. J. Mech. Phys. Solids 32 (1984) 461-490
25. Needleman A., Tvergaard V., and Hutchinson J. Void growth in plastic solids. Topics in Fracture and Fatigue (1992), Springer-Verlag, New York pp. 145-178
26. Oliver J., and Huespe A. Theoretical and computational issues in modelling material failure in strong discontinuity scenarios. Comput. Methods Appl. Mech. Eng. 193 (2004) 2987-3014
27. Oliver J., Huespe A., and Samaniego E. A study on finite elements for capturing strong discontinuities. Int. J. Numer. Methods Eng. 56 (2003) 2135-2161
28. Oliver J., Huespe A., Samaniego E., and Chaves E. Continuum approach to the numerical simulation of material failure in concrete. Int. J. Numer. Anal. Methods Geomech. 28 (2004) 609-632
29. Oliver J., Huespe A.E., Pulido M.D.G., and Chaves E. From continuum mechanics to fracture mechanics: the strong discontinuity approach. Eng. Fract. Mech. 69 (2002) 113-136
30. Ortiz M., Leroy Y., and Needleman A. A finite element method for localized failure analysis. Comput. Methods Appl. Mech. Eng. 61 (1987) 189-214
31. Remmers J., de Borst R., and Needleman A. A cohesive segment method for the simulation of crack growth. Comput. Mech. 31 (2003) 69-77
32. Rice J. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35 (1968) 379-386
33. Rice J. The Localization of Plastic Deformation. In: Koiter W. (Ed) (1976), Amsterdam, North-Holland 207-220
34. Saje M., Pan J., and Needleman A. Void nucleation effects on shear localization in porous plastic solids. Int. J. Fract. 19 (1982) 163-182
35. Sánchez P., Huespe A., and Oliver J. On some topics for the numerical simulation of ductile fracture. Int. J. Plasticity 24 (2008) 1008-1038
36. Siegmund T., and Brocks W. A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture. Eng. Fract. Mech. 67 (2000) 139-154
37. Thomas T. Plastic Flow and Fracture in Solids (1961), Academic Press, New York
38. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fract. 17 (1981) 389-407
39. Tvergaard V. On localization in ductile materials containing spherical voids. Int. J. Fract. 18 (1982) 237-252
40. Tvergaard V. Material failure by void growth to coalescence. Adv. Appl. Mech. 27 (1990) 83-151
41. Tvergaard V., and Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 32 (1984) 157-169
42. Wells G., and Sluys L. A new method for modelling cohesive cracks using finite elements. Int. J. Numer. Methods Eng. 50 (2001) 2667-2682
43. Xia L., and Shih C. Ductile crack growth i. a numerical study using computational cells with microstructurally based length scales. J. Mech. Phys. Solids 43 (1995) 233-259
44. Xu X.-P., and Needleman A. Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids 42 (1994) 1397-1434