Theoretical and computational issues in modelling material failure in strong discontinuity scenarios

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 27-29, 2004, Pages 2987-3014

  Oliver, J ^a   Huespe, A E ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

Continuum models; Material failure; Numerical modelling; Strong discontinuities

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; FAILURE (MECHANICAL); MATERIALS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); STRAIN;

CONTINUUM STRONG DISCONTINUITY APPROACH (CSDA); DISCONTINUITY SETTINGS; MATERIAL FAILURE; STRAIN SOFTENING;

MECHANICS;

CONTINUUM MECHANICS; FAILURE MECHANISM; NUMERICAL MODEL; STRAIN;

EID: 2442521194     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.08.007     Document Type: Article

References (36)

1. J. Alfaiate, L.J. Sluys, Analysis of a compression test on concrete using strong embedded discontinuities, in: F.G. Eberhardsteiner, J. Mang, H.A. Rammerstorfer (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, Austria, ISBN 3-9501554-0-6, July 7-12, 2002. Available from
2. F. Armero, K. Garikipati, Recent advances in the analysis and numerical simulation of strain localization in inelastic solids, in: D.R.J. Owen, E. Onate, E. Hinton (Eds.), Computational Plasticity. Fundamentals and Applications, pp. 547-561, 1995
3. Armero F. Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids Internat. J. Solids and Structures 33 20-22 1996 2863-2885
4. Bazant Z.P. Mechanics of distributed cracking Appl. Mech. Rev. 39 5 1986 675-701
5. Bazant Z.P. Cedolin L. Stability of Structures 1991 Oxford University Press
6. Bazant Z.P. Planas J. Fracture and size effect in concrete and other quasibrittle materials 1998 CRC Press
7. Borja R.I. A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation Comput. Methods Appl. Mech. Engrg. 190 2000 1529-1549
8. M. Cervera, C. Agelet de Saracibar, M. Chiumenti, COMET: A multipurpose finite element code for numerical analysis in solid mechanics, Technical Report, Technical University of Catalonia (UPC), 2001
9. Crisfield M.A. Non-Linear Finite Element Analysis of Solids and Structures vol. I 1991 John Wiley England
10. Dvorkin E.N. Cuitino A.M. Gioia G. Finite elements with displacement embedded localization lines insensitive to mesh size and distortions Internat. J. Numer. Methods Engrg. 30 1990 541-564
11. A. Hillerborg, Numerical methods to simulate softening and fracture of concrete, in: G.C. Sih, A. Di Tomaso (Eds.), Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, 1985, pp. 141-170
12. Jirasek M. Comparative study on finite elements with embedded discontinuities Comput. Methods Appl. Mech. Engrg. 188 2000 307-330
13. M. Jirasek, T. Belytschko, Computational resolution of strong discontinuities, in: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, Austria, ISBN 3-9501554-0-6, July 7-12, 2002. Available from
14. Hutchinson J.W. Fundamentals of the phenomenological theory of nonlinear fracture mechanics J. Appl. Mech. 50 1983 1042-1051
15. Li S. Liu W.K. Numerical simulation of strain localization in inelastic solids using mesh-free methods Internat. J. Numer. Methods Engrg. 1 48 2000 1285-1309
16. Moës N. Dolbow J. Belytschko T. A finite element method for crack growth without remeshing Internat. J. Numer. Methods Engrg. 46 1999 131-150
17. N. Moës, N. Sukumar, B. Moran, T. Belytschko, An extended finite element method (X-FEM) for two- and three-dimensional crack modelling, in: ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000, Vienna University of Technology, Austria, ISBN 3-9501554-0-6
18. J. Mosler, G. Meshke, 3D FE analysis of cracks by means of the strong discontinuity approach, in: ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000, Vienna University of Technology, Austria, ISBN 3-9501554-0-6
19. Oliver J. Modeling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals Internat. J. Numer. Methods Engrg. 39 21 1996 3575-3600
20. Oliver J. Modeling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 2: Numerical simulation Internat. J. Numer. Methods Engrg. 39 21 1996 3601-3623
21. Oliver J. On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations Internat. J. Solids and Structures 37 2000 7207-7229
22. J. Oliver, Topics on failure mechanics, Technical Report, International Center for Numerical Methods in Engineering (CIMNE), Monograph no. 68, December 2002
23. Oliver J. Cervera M. Manzoli O. On the use of strain-softening models for the simulation of strong discontinuities in solids de Borst R. van der Giessen E. Material Instabilities in Solids 1998 107-123 John Wiley (Chapter 8)
24. Oliver J. Cervera M. Manzoli O. Strong discontinuities and continuum plasticity models: The strong discontinuity approach Internat. J. Plasticity 15 3 1999 319-351
25. Oliver J. Huespe A. Samaniego E. A study on finite elements for capturing strong discontinuities Internat. J. Numer. Methods Engrg. 56 2003 2135-2161
26. J. Oliver, A.E. Huespe, Continuum approach to material failure in strong discontinuity settings, Comput. Methods Appl. Mech. Engrg., submitted for publication
27. Ortiz M. Leroy Y. Needleman A. A finite element method for localized failure analysis Comput. Methods Appl. Mech. Engrg. 61 1987 189-214
28. Ottosen N.S. Runesson K. Properties of discontinuous bifurcation solutions in elasto-plasticity Internat. J. Solids and Structures 27 4 1991 401-421
29. Regueiro R. Borja R.I. A finite element model of localized deformation in frictional materials taking a strong discontinuity approach Finite Elements Anal. Design 33 1999 283-315
30. Rice J.R. The localization of plastic deformation Koiter W.T. Theoretical and Applied Mechanics 1976 207-220 North-Holland
31. J.G. Rots, Computational Modeling of Concrete Fractures, Thesis, Delft University of Technology, 1988
32. Schreyer H.L. Sulsky D.L. Zhou S.J. Modeling delamination as a strong discontinuity with the material point method Comput. Methods Appl. Mech. Engrg. 191 2002 2483-2507
33. Simo J. Oliver J. Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids Comput. Mech. 12 1993 277-296
34. Wells G.N. Sluys L.J. A new method, for modelling cohesive cracks finite elements Internat. J. Numer. Methods Engrg. 50 2001 2667-2682
35. Willam K. Constitutive models for engineering materials Encyclopedia of Physical Science - Technology third ed. 2000 603-633 Academic Press New York
36. Zienkiewicz O.C. Taylor R.L. The Finite Element Method 2000 Butterworth-Heinemann Oxford, UK