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- Title
Some three-dimensional boundary value and boundary-contact problems for an elastic mixture with double porosity.
- Authors
Janjgava, Roman
- Abstract
The article presents the pioneering study of a linear system of equilibrium equations of elastic bodies with double porosity when the rigid skeleton of the body is a mixture of two isotropic materials. The general solutions of this system of equations are represented by means of harmonic functions and a metaharmonic function. Based on the constructed general solution, the class of boundary value problems of porous elasticity for the rectangular parallelepiped is solved analytically using the method of separation of variables. The corresponding boundary-contact problems for the multilayer rectangular parallelepiped are also considered.
- Subjects
NUMERICAL analysis; POROUS materials; MATHEMATICAL models; FINITE element method; BOUNDARY value problems
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2018, Vol 71, Issue 4, p411
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hby011