Miehe, Christian; Schröder, Jörg:

Post-Critical Discontinuous Localization Analysis of Small-Strain Softening Elastoplastic Solids

In: Archive of applied mechanics, Jg. 64 (1994) ; Nr. 4, S. 267-285
ISSN: 0020-1154
Zeitschriftenaufsatz / Fach: Bauwissenschaften
This paper presents aspects of the formulation and numerical implementation of localization phenomena in elastoplastic solids at small strains. As a first aspect we point out the theoretical foundation and algorithmic implementation of a local accompanying pre-critical localization analysis for the detection of critical zones like shear-bands which may cause a lost of global structural stability. The second part proposes a particular approach to the post-critical localization analysis in order to trace post-critical localized equilibrium branches of solids with a global displacement-discontinuity surface. Within this context we investigate two general constitutive approaches to the modelling of the displacement discontinuity and develop a finite-element formulation for its numerical implementation.

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