Crack Tip Field and Stress Intensity Factors in Planar Piezoelectric Problem
Yang Limin,Liu Chuntu,Zeng Xiaohui
(Institute of Mechanics, Chinese Academy of Sciences, Division of Engineering Sciences, Beijing, 100080)

Abstract: Crack tip field in planar piezoelectric problem is proposed with Stroh formulas. The matrices A and Bare obtained via comparison between Lekhnitskii and Stroh relationships. Semi-weight function method is developed to determine stress intensity factors and electric displacemnt intensity factor. The stress intensity factors defined in terms of the integral form are derived from the Bett i's reciprocal work theorem and expressed with stresses, displacement, electric displacement and electric potential on a path and the semi-weight function. The numerical results for a center-cracked plate under pure electric loading demon strate the accuracy and practicality of the method, in which tight grids and high resolution near the crack tip are unnecessary.
Keywords: piezoelectric, semi-weight function, stress intensity factors, plane problem, stroh, lekhnitskii.