Miehe, Christian; Schröder, Jörg:
Post-Critical Discontinuous Localization Analysis of Small-Strain Softening Elastoplastic Solids
1994
In: Archive of applied mechanics, Jg. 64 (1994), Heft 4, S. 267 - 285
Artikel/Aufsatz in Zeitschrift / Fach: Bauwissenschaften
Titel:
Post-Critical Discontinuous Localization Analysis of Small-Strain Softening Elastoplastic Solids
Autor(in):
Miehe, Christian; Schröder, Jörg im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen
Erscheinungsjahr:
1994
Erschienen in:
Archive of applied mechanics, Jg. 64 (1994), Heft 4, S. 267 - 285
ISSN:
Signatur der UB:

Abstract:

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.