Solution of Problem of linear Plane Elasticity in Region between an Elliptical Boundary with Cassini Oval Hole by the Boundary Integrals Method

Abstract

        A boundary Fourier expansion method is used to solve the system of field equations of plane, linear elasticity in stresses for homogeneous, isotropic media occupying a doubly-connected domain under given pressures on the boundaries. The case understudy is: An elliptic  domain with cassini oval. In the case, the boundary values of the relevant harmonic functions are obtained and the error in satisfying the boundary conditions is given. The stress function and the displacement are calculated inside the domain.