Plane waves and problems of steady vibrations in the theory of viscoelasticity for Kelvin-Voigt materials with double porosity

• Autorzy: Svanadze M. M.
• Języki publikacji: EN

Abstrakty

EN

In the present paper the linear theory of viscoelasticity for Kelvin–Voigt materials with double porosity is considered. Some basic properties of plane harmonic waves are established and the boundary value problems (BVPs) of steady vibrations are investigated. Indeed on the basis of this theory three longitudinal and two transverse plane harmonic waves propagate through a Kelvin–Voigt material with double porosity and these waves are attenuated. The basic properties of the singular integral operators and potentials (surface and volume) are presented. The uniqueness and existence theorems for regular (classical) solutions of the BVPs of steady vibrations are proved by using the potential method (boundary integral equations method) and the theory of singular integral equations.

Słowa kluczowe

EN

viscoelasticity; double porosity; plane harmonic wave; uniqueness theorem; existence theorems

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2016
• Tom: Vol. 68, nr 6
• Strony: 441--458
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Svanadze M. M.

• Faculty of Exact and Natural Sciences Tbilisi State University I. Chavchavadze Ave., 3 0179 Tbilisi, Georgia

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