Fundamental solutions in the full coupled theory of elasticity for solid with double porosity

• Autorzy: Svanadze M. , De Cicco S.
• Konferencja: Solid Mechanics Conference (38 ; 27-31.08.2012 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

This paper discusses the full coupled linear theory of elasticity for solids with double porosity. The system of the governing equations is based on the equations of motion, conservation of fluid mass, the constitutive equations and Darcy’s law for material with double porosity. Four spatial cases of the dynamical equations are considered: equations of steady vibrations, equations in Laplace transform space, equations of quasi-static and equations of equilibrium. The fundamental solutions of the systems of these partial differential equations (PDEs) are constructed by means of elementary functions and finally, the basic properties of these solutions are established.

Słowa kluczowe

EN

double porosity; fundamental solutions; steady vibrations; Darcy’s law

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2013
• Tom: Vol. 65, nr 5
• Strony: 367--390
• Opis fizyczny: Bibliogr. 44 poz.

Twórcy

autor

Svanadze M.

• Institute for Fundamental and Interdisciplinary Mathematics Research Ilia State University, K. Cholokashvili Ave., 3/5 0162 Tbilisi, Georgia

autor

De Cicco S.

• Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università di Napoli, “Federico II” Via Monteoliveto 3 80134 Napoli, Italy

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