Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials

• Autorzy: Svanadze M. M.

Identyfikatory

DOI

10.24423/aom.3856

• Języki publikacji: EN

Abstrakty

EN

In the present paper the coupled linear theory of double-porosity viscoelastic materials is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated. Indeed, in the beginning, the systems of equations of motion and steady vibrations are presented. Then, Green’s identities are established and the uniqueness theorems for classical solutions of the BVPs of steady vibrations are proved. The fundamental solution of the system of steady vibration equations is constructed and the basic properties of the potentials (surface and volume) are given. Finally, the existence theorems for classical solutions of the above mentioned BVPs are proved by using the potential method (the boundary integral equations method) and the theory of singular integral equations.

Słowa kluczowe

EN

viscoelasticity; double-porosity materials; uniqueness theorem; existence theorem; potential method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2021
• Tom: Vol. 73, nr 4
• Strony: 365--390
• Opis fizyczny: Bibliogr. 51 poz., rys. kolor., wykr.

Twórcy

autor

Svanadze M. M.

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

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).