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Seminar Series - 1997-1998
A Treatment of Internally Constrained Elastic-Plastic Materials
Eveline Baesu
Department of Mechanical Engineering
University of California - Berkeley
Sponsored by the Dept. of Engineering Mechanics
Date: Tuesday, March 17, 1998
Time: 3:30 p.m.
Place: Nebraska Hall W128
A novel treatment of internally constrained elastic-plastic materials will be presented in a general context of finite deformations. Ingredients of this theory are derived with the aid of an associated class of “equivalent” unconstrained elastic-plastic materials and for a very generic constraint envisioned as a smooth scalar function of the Lagrangian strain and of a list of variables that capture the history dependence of plastic deformation: plastic strain tensor (Ep ), back
stress tensor (aR), and a scalar
work-hardening parameter (k). Examples of various internal constraints – incompressibility, inextensibility, Bell constraint – as well as their variants (e.g.det (C-1) = f (Ep,
aR,
k)) will be used to illustrate aspects of the theory. These examples are worked out for particular finite and infinitesimal deformations. Geometrical features of constraint and yield surfaces will be discussed. Finally, the case of simultaneously acting multiple constraints will be covered.
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