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The Method of Asymptotic Expansion for Plate Problem in the Linear Theory of Viscoelasticity
Author(s) -
Lotfi A.,
Molnárka G.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801467
Subject(s) - viscoelasticity , laplace transform , mathematics , asymptotic expansion , mathematical analysis , elasticity (physics) , class (philosophy) , linear elasticity , computer science , physics , finite element method , artificial intelligence , thermodynamics
The method of asymptotic expansion originally developed for elasticity problems is generalized to linear stic problems. Three‐dimensional, unsteady problems corresponding to a class of viscoelastic plates are considy employing the Laplace transform, the original problem is converted to an equivalent elastic problem, where mptotic expansion method is used. An application of this method to the Maxwell model is also presented.

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