A programming approach to the solution of problems involving elastic-plastic plates

Master Thesis

1982

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http://hdl.handle.net/11427/9919
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thesis_ebe_1982_mitchell_gp (1).pdf (2.37 MB)
Authors
Mitchell, Gregory Peter
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
An extended kinematic minimum principle in classical plasticity is used as the basis for the finite element formulation of the rate problem for elastic-plastic plates. A simple algorithm is used to solve the resulting quadratic programming problem. The numerical solution of the problem is carried out in two ways: one method involves load step sizes which are scaled so that one or more gauss points just become plastic, and the other method involves load step sizes which are fixed once and for all at the outset. Examples are given and discussed.
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Bibliography: leaves 84-88.

Keywords
Civil Engineering

Reference:

Mitchell, G. 1982. A programming approach to the solution of problems involving elastic-plastic plates. University of Cape Town.

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