Elastic Equilibrium of Porous Cosserat Media with Double Porosity

Roman Janjgava

Advances in Mathematical Physics, 2016, vol. 2016, 1-9

Abstract:

The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived. Detailed consideration is given to the case of plane deformation. A two-dimensional system of equations of plane deformation is written in the complex form and its general solution is represented by means of three analytic functions of a complex variable and two solutions of Helmholtz equations. The constructed general solution enables one to solve analytically a sufficiently wide class of plane boundary value problems of the elastic equilibrium of porous Cosserat media with double porosity. A concrete boundary value problem for a concentric ring is solved.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4792148

DOI: 10.1155/2016/4792148

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