Stress intensity factors for a piezoelectric plate with a semi-permeable crack under uniform thermal

In this paper we analyze the two-dimensional piezoelectric material with a center crack by means of complex variable method. The material is subjected to uniform heat flow q₂^∞ and electric displacement D₂^∞ at infinity, and the heat flow on the crack is λ₁q₂, the electric displacement on the crack is λ₂D₂^∞, respectively. The complex potentials of temperature field and the electroelastic fields are obtained, and finally the solutions for the intensity factors are presented in closed-form. Numerical results are given to discuss the effects of crack surface boundary conditions on the intensity factors of fields. It is found that when the crack length is fixed, the vector of field intensity factors is linearly changed as the insulation coefficient Λ and λ₂.