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New Zealand Mathematics Colloquium 2000
November 26-29, 2000
Dept of Mathematics, University of Waikato
Hamilton, New Zealand

Organizers
Kevin Broughan, Rua Murray, Ernie Kalnins, Stephen Joe

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Characteristic surfaces in plasticity theory
by
Graham Weir
Applied Mathematics, Industrial Research
Coauthors: Roger Young (Applied Mathematics, Industrial Research)

Plasticity theory is briefly reviewed, and work in progress on determining the orientation of fracture planes in stress space is summarised. This is a solved problem in two dimensions, due to contributions from Coulomb and Mohr. In three dimensions, additional assumptions are needed. Our present work on a fully plastic model is presented, and its relation to analogous work in elasto-plasticity theory described.

Date received: September 28, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caek-40.