TY - JOUR
A2 - Yang, Xiao-Jun
AU - Bitsadze, Lamara
AU - Zirakashvili, Natela
PY - 2016
DA - 2016/07/31
TI - Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity
SP - 1810795
VL - 2016
AB - 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 the BVPs for the equations of classical elasticity of isotropic bodies, and the other is the BVPs for the equations of pore and fissure fluid pressures. The solutions of these equations are presented by means of elementary (harmonic, metaharmonic, and biharmonic) functions. On the basis of the gained results, we constructed an explicit solution of some basic BVPs for an ellipse in the form of absolutely uniformly convergent series.
SN - 1687-9120
UR - https://doi.org/10.1155/2016/1810795
DO - 10.1155/2016/1810795
JF - Advances in Mathematical Physics
PB - Hindawi Publishing Corporation
KW -
ER -