STRAIN-SOFTENING MATERIALS AND FINITE ELEMENT SOLUTIONS.

T. Belytschko*, Zdenek P Bazant

*Corresponding author for this work

Research output: Contribution to conferencePaper

6 Scopus citations

Abstract

Closed form and finite element solutions are reviewed for several problems with strain-softening materials. In the closed form solutions, strain-softening causes localization of the strain which is accompanied by an instantaneous vanishing of the stress. The finite element solutions agree closely with analytic solutions in many cases and exhibit a rate of convergence only slightly below that for linear problems. The main difficulty which has been identified in strain-softening constitutive models for damage is the absence of energy dissipation in the strain-softening domain, and this can be corrected by a nonlocal formulation, such as one which is reviewed here.

Original languageEnglish (US)
Pages253-272
Number of pages20
StatePublished - Dec 1 1984

ASJC Scopus subject areas

  • Engineering(all)

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