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An initial-boundary value problem for elastic plates

Constanda, C. (2002) An initial-boundary value problem for elastic plates. In: Integral Methods in Science and Engineering. Birkhauser, pp. 63-68. ISBN 0-8176-4213-7

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Abstract

In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.

Item type: Book Section
ID code: 2096
Keywords: elasticity, boundary value, linear mathematics, fluid dyanmics, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 23 Feb 2007
Last modified: 06 Sep 2014 03:32
URI: http://strathprints.strath.ac.uk/id/eprint/2096

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