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On the Elasticity Theory of Microporous Solids
Author(s) -
Assaf M. A.,
Jentsch L.
Publication year - 1992
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19920720806
Subject(s) - uniqueness , microporous material , boundary value problem , mathematics , mathematical analysis , elasticity (physics) , displacement (psychology) , porosity , boundary (topology) , physics , materials science , thermodynamics , psychology , composite material , psychotherapist
This paper deals with existence and uniqueness theorems for boundary value problems and a contact problem for a system of differential equations which was suggested by MARKOV as a linear model for microporous solids. The characteristic of this model is that, in addition to the vector of displacement, free dilatation occurs as fourth field quantity independent of the displacement. This free dilatation may be interpreted as porosity of the solid and may play a part in determining zones subjected to the danger of cracking. The boundary integral method is used in proving the existence theorems. Solution representations by potentials are given for all problems, and the boundary integral equations for the density vectors of teh potentials are investigated.