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Some recent contributions to plasticity theory

✍ Scribed by Gilbert Strang

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
948 KB
Volume
302
Category
Article
ISSN
0016-0032

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✦ Synopsis

This paper describes several directions of research which are being developed

in the mathematical and engineering literatures. In each case the source of the problems is

plasticity, either for a continuum or for the discrete model which follows from a finite element representation. One result deserves special mention: the new techniques lead to the first rigorous proof that the equations of incremental plasticity have a solution (up to the moment of collapse). Without attempting to reproduce such a proof, we try to explain some of the underlying ideas-hoping that those ideas will also prove useful in providing a realistic and manageable numerical analysis of plasticity.

* This also produces the right constraint Bu = F in the discrete incremental problem.

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