Extended displacement discontinuity method for analysis of cracks in 2D thermopiezoelectric media

Based on the operator theory, the general solutions of the extended displacements and stresses in two-dimensional thermopiezoelectric media are expressed in terms of a potential function. By introducing the Fourier transform, the fundamental solutions for the unit point extended displacement discontinuities are derived. The extended displacement discontinuity boundary integral equation method is developed and used to analyze the singularities of near-crack tip fields, and the extended intensity factors are obtained in terms of the extended displacement discontinuities across the crack faces.