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Acta Mechanica

Erschienen in:

30.01.2020 | Original Paper

Potential method in the linear theory of viscoelastic porous mixtures

verfasst von: Maia M. Svanadze

Erschienen in: Acta Mechanica | Ausgabe 5/2020

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Abstract

In the present paper, the linear theory of viscoelasticity for binary porous mixtures is considered. The fundamental solution of the system of steady vibration equations is constructed, and its basic properties are established. Green’s identities of this theory are obtained. The uniqueness theorems for classical solutions of the internal and external basic boundary value problems (BVPs) of steady vibrations are proved. The surface and volume potentials are introduced, and their basic properties are established. The determinants of symbolic matrices of the singular integral operators are calculated explicitly, and the BVPs are reduced to the always solvable singular integral equations for which Fredholm’s theorems are valid. Finally, the existence theorems for classical solutions of the internal and external BVPs of steady vibrations are proved by means of the potential method and the theory of singular integral equations.

Vorheriger Artikel A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation

Nächster Artikel Investigation on a full coupling between damage and other thermomechanical behaviours in the standard thermodynamic framework including environmental effects

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Titel: Potential method in the linear theory of viscoelastic porous mixtures
verfasst von: Maia M. Svanadze
Publikationsdatum: 30.01.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 5/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02627-5

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