Variational formulations and numerical analysis of some problems in small strain elastoplasticity

In this thesis we study the mathematical structure and numerical approximation of two boundary-value problems in small strain elastoplasticity. The first problem, which we call the incremental holonomic problem, is based on a consistent incremental holonomic constitutive law, which in turn derives from the notion of extremal paths in stress and strain space as originally proposed by PONTER & MARTIN (1972); the second problem which we study is the classical rate problem. We show that both problems can be formulated as variational inequalities, with internal variables being included explicitly in the formulation. Corresponding minimisation problems follow naturally from standard results in convex analysis.

Grantor dc:publisher.institution

Department of Civil Engineering

Year dc:date.issued

1986

Author dc:creator

• Griffin, Terence Bernard

Advisor dc:contributor.advisor

• Reddy, B Daya

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/22576

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/22576