Solving the Problem of Linear Viscoelasticity for Piecewise-Homogeneous Anisotropic Plates

An approximate method for solving the problem of linear viscoelasticity for thin anisotropic plates subject to transverse bending is proposed. The method of small parameter is used to reduce the problem to a sequence of boundary problems of applied theory of bending of plates solved using complex po...

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Bibliographic Details
Published inInternational applied mechanics Vol. 53; no. 6; pp. 688 - 703
Main Authors Kaloerov, S. A., Koshkin, A. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2017
Springer
Springer Nature B.V
Subjects
Analysis
Anisotropic plates
Anisotropy
Applications of Mathematics
Classical Mechanics
Inclusions
Physics
Physics and Astronomy
Plates
Viscoelasticity
anisotropic plate
theory of bending of plates
viscoelasticity
linear inclusion
method of small parameter
generalized least squares method
elastic inclusion
moment intensity factors
complex potentials
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Summary:An approximate method for solving the problem of linear viscoelasticity for thin anisotropic plates subject to transverse bending is proposed. The method of small parameter is used to reduce the problem to a sequence of boundary problems of applied theory of bending of plates solved using complex potentials. The general form of complex potentials in approximations and the boundary conditions for determining them are obtained. Problems for a plate with elliptic elastic inclusions are solved as an example. The numerical results for a plate with one, two elliptical (circular), and linear inclusions are analyzed.
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-018-0851-9