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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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.
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Item type: Book Section ID code: 2096 Dates: DateEvent2002PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics > Mathematics Depositing user: Strathprints Administrator Date deposited: 23 Feb 2007 Last modified: 11 Nov 2024 14:30 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/2096