Square Inclusion with a Nonlinear Eigenstrain in an Anisotropic Piezoelectric Full Plane

摘要

An exact closed-form solution for the Eshelby problem of square inclusion with a quadratic nonlinear eigenstrain in an anisotropic piezoelectric full plane is presented.The induced elastic and piezoelectric fields are expressed in terms of the line integral on the boundary of the inclusion with the integrand being the multiplication of the line-source Green's function and the equivalent body force of the piezoelectric solid.The most remarkable feature is that the final solution involves only very simple elementary functions after the line integral is carried out analytically.