A CONTOUR INTEGRAL METHOD TO DETERMINED INTENSITY FACTORS K_(III) AND K_(IV) OF A PIEZOELECTRIC MATERIAL WITH THE MODE BOL CRACK

摘要

In this paper, Betti' s reciprocal work theorem has been generalized to the fracture problem of a piezoelectric material. An auxiliary field of the antiplane fracture problem for a piezoelectric material has been constructed on the basis of Pak' s solution and the concept of finite reciprocal work on the contour enclosing the crack tip. When the stresses, electric displacements, displacements and electric potentials in a specimen are calculated by finite element method, the intensity factors K_(III) and K_(IV) of a piezoelectric material with the mode III crack can be obtained immediately by a contour integral. Numerical example is presented to demonstrated the accuracy and reliability of the proposed method.