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Infinitesimal elastic–plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case

Published online by Cambridge University Press:  12 July 2007

Patrizio Neff  and
Krzysztof Chełmiński
Patrizio Neff
Affiliation:
Fachbereich Mathematik, Darmstadt University of Technology, Schlossgartenstrasse 7, 64289 Darmstadt, Germany ([email protected])
Krzysztof Chełmiński
Affiliation:
Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland ([email protected]) and Department of Mathematics, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warsaw, Poland ([email protected])
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Abstract

In this article we investigate the regularizing properties of generalized continua of Cosserat micropolar type in the elasto-plastic case. We propose an extension of classical infinitesimal elasto-plasticity to include consistently non-dissipative micropolar effects. It is shown that the new model is thermodynamically admissible and allows for a unique, global-in-time solution of the corresponding rate-independent initial–boundary-value problem. The method of choice is the Yosida approximation and a passage to the limit.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 1017 - 1039
Copyright
Copyright © Royal Society of Edinburgh 2005

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