A boundary integral formulation and 2D fundamental solutions for piezoelectric media Original Research Article

First, based on the basic equations of piezoelectricity, the boundary integral formulation is derived by utilizing the reciprocal-work theorem. Second, for the plane problem of piezoelectric media, one general solution in terms of ‘harmonic functions’ is derived and the fundamental solutions are therefore obtained. Numerical calculations by boundary element method (BEM) are performed to give the stress concentration coefficient of an infinite piezoelectric plane with a circular hole as well as the stress and electric intensity factors of a central crack locating on an infinite plate. Results are found to agree well with the exact solutions.