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

Doctoral Thesis

1986

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http://hdl.handle.net/11427/22576
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thesis_ebe_1986_griffin_terence_bernard.pdf (4.57 MB)
Authors
Griffin, Terence Bernard
Supervisors
Reddy, B Daya
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University of Cape Town

Department
Department of Civil Engineering
Faculty
Faculty of Engineering and the Built Environment
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Abstract
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.
Description

Bibliography: pages 316-322.

Keywords
Civil Engineering
elastoplasticity

Reference:

Griffin, T. 1986. Variational formulations and numerical analysis of some problems in small strain elastoplasticity. University of Cape Town.

Collections
PhD / Doctoral