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External boundary value problems in the quasi static theory of viscoelasticity for Kelvin‐Voigt materials with double porosity
Author(s) -
Svanadze Maia M.
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610237
Subject(s) - uniqueness , viscoelasticity , boundary value problem , mathematical analysis , mathematics , porosity , boundary (topology) , kelvin–voigt material , potential theory , physics , materials science , thermodynamics , composite material
In the present paper the linear quasi static theory of viscoelasticity for Kelvin‐Voigt materials with double porosity is considered. The basic external boundary value problems (BVPs) of steady vibrations in this theory are formulated. The uniqueness and existence theorems for regular (classical) solutions of the BVPs are proved by using of the potential method (boundary integral equations method) and the theory of singular integral equations. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)