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Boundary value problems of the theory of viscoelasticity for Kelvin‐Voight materials
Author(s) -
Svanadze Maia M.
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010146
Subject(s) - viscoelasticity , uniqueness , mathematical analysis , boundary value problem , uniqueness theorem for poisson's equation , mathematics , boundary (topology) , physics , thermodynamics
In this paper, the classical Kelvin‐Voight model of the linear theory of viscoelasticity is considered and the following results are obtained: the fundamental solution of the equation of steady vibrations is constructed, the basic properties of plane waves and elastopotentials are established, the uniqueness theorem of the internal and external boundary value problems (BVPs) are proved, the existence theorems for classical solutions of the BVPs by means of the potential method and the theory of two‐dimensional singular integral equations are proved. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)