Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A simple proof of a result in finite plasticity

Author: J. Casey
Journal: Quart. Appl. Math. 42 (1984), 61-71
MSC: Primary 73E05
DOI: https://doi.org/10.1090/qam/736505
MathSciNet review: 736505
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Abstract: Within the framework of a purely mechanical rate-type theory of finitely deforming elastic-plastic materials, a simple proof is given of a normality condition which has been shown by Naghdi & Trapp [6] to follow from a physically plausible work assumption. In addition, a variation of the proof is used to demonstrate convexity of yield surfaces for a special class of materials, a result which was also originally established by Naghdi & Trapp [10].

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DOI: https://doi.org/10.1090/qam/736505
Article copyright: © Copyright 1984 American Mathematical Society

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