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Discontinuous bifurcations in a nonassociated Mohr material

In English

Författare

Summary, in English

Discontinuous bifurcations of an elastic-plastic material obeying Mohr's yield criterion and a nonassociated flow rule and subjected to general three-dimensional loading are investigated. The first possibility for bifurcation is identified and expressed in terms of the critical hardening modulus and the corresponding orientation of the slip planes. In the case of perfect plasticity the Mohr and Roscoe solutions for the orientation of the slip planes are derived. The corresponding strain rate fields are determined and it is shown that the Roscoe strain rate field differs significantly from the other fields. Moreover, the stress rate field is continuous across the singular surface for the Roscoe solution.

Avdelning/ar

Publiceringsår

1991

Språk

Engelska

Sidor

255-265

Publikation/Tidskrift/Serie

Mechanics of Materials

Volym

12

Issue

3-4

Dokumenttyp

Artikel i tidskrift

Förlag

Elsevier

Ämne

  • Mechanical Engineering

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0167-6636