A new thermoelectroelastic solution for piezoelectric materials with various opening

A new solution is obtained for thermoelectroelastic analysis of an insulate d hole of various shapes embedded in an infinite piezoelectric plate. Based on the exact electric boundary conditions on the hole boundary, Lekhnitski i's formulation and conformal mapping, the solution for elastic and electri c fields has been obtained in closed form in terms of complex potential. Th e solution has a simple unified form for various holes such as ellipse, cir cle, triangle and square openings. As an application of the solution, the h oop stress and electric displacement (SED) and the solution for crack probl ems are discussed. Using the above results, the SED intensity factor and st rain energy release rate can be obtained analytically. One numerical exampl e is considered to illustrate the application of the proposed formulation a nd compared with those obtained from impermeable model.