Strong discontinuities and continuum plasticity models: The strong discontinuity approach

International journal of plasticity

Volumn 15, Issue 3, 1999, Pages 319-351

  Oliver, J ^a   Cervera, M ^a   Manzoli, O ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS;

CONTINUUM PLASTICITY MODELS; STRONG DISCONTINUITY APPROACH;

PLASTIC DEFORMATION;

EID: 0032668820     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(98)00073-4     Document Type: Article

References (35)

1. Armero, F., Garikipati, K., 1995. Recent advances in the analysis and numerical simulation of strain localization in inelastic solids. In: Owen, D., Onate, E., Hinton, E. (Eds.), Computational Plasticity. Fundamentals and Applications, pp. 547-561.
2. 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. Int. J. Solids and Structures. 33:(20-22):1996;2863-2885.
3. Bazant Z., Oh B. Crack band theory for fracture of concrete. Matériaux et Constructions. 93:(16):1983;155-177.
4. Chakrabarty, J., 1987. Theory of Plasticity. McGraw-Hill, New York.
5. Chen, J., 1975. Limit analysis and Soil Plasticity. Elsevier.
6. de Borst R., Sluys L.J., Muhlhaus H.B., Pamin J. Fundamental issues in finite element analyses of localization of deformation. Engineering Computations. 10:1993;99-121.
7. Dvorkin E., Cuitino A., Gioia G. Finite elements with displacement embedded localization lines intensive to mesh size and distortions. International Journal for Numerical Methods in Engineering. 30:1990;541-564.
8. Hillerborg, A., 1985. Numerical methods to simulate softening and fracture of concrete. In: Sih, G. C., Di Tomaso, A. (Eds.), Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, pp. 141-170.
9. Khan, A., Huang, S., 1995. Continuum Theory of Plasticity. John Wiley & Sons.
10. Larsson R., Runesson K., Ottosen N. Discontinuous displacement approximation for capturing plastic localization. Int.J. Num. Meth. Eng. 36:1993;2087-2105.
11. Larsson R., Runesson K., Sature S. Embedded localization band in undrained soil based on regularized strong discontinuity theory and finite element analysis. Int. J. Solids and Structures. 33:(20-22):1996;3081-3101.
12. Lee H., Im S., Atluri S. Strain localization in an orthotropic material with plastic spin. International J. of Plasticity. 11:(4):1995;423-450.
13. Lofti H., Ching P. Embedded representation of fracture in concrete with mixed finite elements. International Journal for Numerical Methods in Engineering. 38:1995;1307-1325.
14. Lubliner, J., 1990. Plasticity Theory. Macmillan.
15. Needleman, A., 1988. Material rate dependence and mesh sensitivity in localization problems. Comp. Meth. Appl. Mech. Eng. 67, 69-85.
16. Needleman, A., Tvergard, V., 1992. Analysis of plastic localization in metals. Appl. Mech. Rev. 45, 3-18.
17. Oliver, J., 1995a. Continuum modelling of strong discontinuities in solid mechanics. In: Owen, D. R. J., Onate, E., (Eds.), Computational Plasticity. Fundamentals and Applications, vol. 1. Pineridge Press, pp. 455-479.
18. Oliver J. Continuum modelling of strong discontinuities in solid mechanics using damage models. Computational Mechanics. 17:(1-2):1995;49-61.
19. Oliver J. Modeling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: fundamentals. Int. J. Num. Meth. Eng. 39:(21):1996;3575-3600.
20. Oliver J. Modeling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 2: numerical simulation. Int. J. Num. Meth. Eng. 39:(21):1996;3601-3623.
21. Oliver, J., 1998. The strong discontinuity approach: an overview. In: Idelsohn, S., Onate, E., Dvorkin, E. N. (Eds.), Computational Mechanics. New Trends and Applications. Proceedings (CD-ROM) of the IV World Congress on Computational Mechanics (WCCM98). CIMNE, pp. 1-19.
22. Oliver, J., Cervera, M., Manzoli, O., 1997. On the use of J2 plasticity models for the simulation of 2D strong discontinuities in solids. In: Owen, D., Onate, E., Hinton, E. (Eds.), Proc. Int. Conf. on Computational Plasticity, Barcelona, Spain. CIMNE, pp. 38-55.
23. Oliver, J., Cervera, M., Manzoli, O., 1998. On the use of strain-softening models for the simulation of strong discontinuities in solids. In: de Borst, R., van der Giessen, E. (Eds.), Material Instabilities in Solids, John Wiley & Sons, pp. 107-123 (Chapter 8).
24. Ortiz M., Quigley J. Adaptive mesh refinement in strain localization problems. Comput. Methods Appl. Mech. Engrg. 90:1991;781-804.
25. Ortiz M., Leroy Y., Needleman A. A finite element method for localized failure analysis. Comp. Meth. Appl. Mech. Eng. 61:1987;189-214.
26. Ottosen N., Runesson K. Properties of discontinuous bifurcation solutions in elasto-plasticity. Int. J. Solids and Structures. 27:(4):1991;401-421.
27. Rots J.G., Nauta P., Kusters G.M.A., Blaauwendraad J. Smeared crack approach and fracture localization in concrete. Heron. 30:(1):1985;1-49.
28. Runesson K., Mroz Z. A note on nonassociated plastic flow rules. International J. of Plasticity. 5:1989;639-658.
29. Runesson K., Ottosen N.S., Peric D. Discontinuous bifurcations of elastic-plastic solutions at phase stress and plane strain. Int. J. of Plasticity. 7:1991;99-121.
30. Runesson K., Peric D., Sture S. Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions. Int. J. Solids Structures. 33:(10):1996;1501-1518.
31. Simo, J., Oliver, J., 1994. A new approach to the analysis and simulation of strong discontinuities. In: Bazant, Z.B., Bittnar, Z., Jirásek, M., Mazars, J. (Eds.). Fracture and Damage in Quasi-brittle Structures. E & FN Spon, pp. 25-39.
32. Simo J., Oliver J., Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independence inelastic solids. Computational Mechanics. 12:1993;277-296.
33. Stein E., Steinmann P., Miehe C. Instability phenomena in plasticity: modelling and computation. Computational Mechanics. 17:1995;74-87.
34. Steinmann P., Willam K. Finite element analysis of elastoplastic discontinuities. Journal of Engineering Mechanics. 120:1994;2428-2442.
35. Zienckiewicz O., Huang M., Pastor M. Localization problems in plasticity using finite elements with adaptive remeshing. Int. J. Num. Anal. Meth. Geomech. 19:1995;127-148.