What is it about?
The basic two-dimensional boundary value problems of the fully coupled linear equilibrium theory of elasticity for solids with double porosity structure are reduced to the solvability of two types of a problem. The first one is similar to the BVPs for the equations of classical elasticity of isotropic bodies, while the second one is the BVPs for the equations of the pore and fissure fluid pressures.
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Why is it important?
The solutions of these equations are presented by means of elementary (harmonic, metaharmonic, and biharmonic) functions.
Perspectives
In physical terms, the theory of poroelasticity postulates that when a porous material is subjected to stress, the resulting matrix deformation leads to volumetric changes in the pores. The pores are filled with fluid. The presence of the fluid results in the flow of the pore fluid between regions of higher and lower pore pressure.
Dr. Natela Zirakashvili
Iv Javakhishvili Tbilisi State University
Read the Original
This page is a summary of: Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity, Advances in Mathematical Physics, January 2016, Hindawi Publishing Corporation,
DOI: 10.1155/2016/1810795.
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