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A thermodynamic discussion of the possibility of singular yield conditions in plasticity theory

✍ Scribed by G.A. Kluitenberg

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
508 KB
Volume
88
Category
Article
ISSN
0378-4371

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✦ Synopsis

A generalization is given of the author's theory for plasticity phenomena. The generalization leads to the possibility that the yield surface has singularities. From the theory a formula may be derived which is analogous to a formula proposed by Koiter for plastic flow in media with singular yield surfaces. The possibility of elastic relaxation phenomena in the preplastic range is included in the developed formalism.

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The problem of the convergence of the solutions of problems of plasticity theory, with a yield condition which depends on the hydrostatic stress, to solutions based on classical plasticity theory with von Mises or Tresea conditions is considered, with a particular choice of the parameters of the mat