Comparison of several BEM-based approaches in evaluating crack-tip field intensity factors in piezoelectric materials

Research paper by Jun Lei, Hongyan Wang, Chuanzeng Zhang, Tinh Quoc Bui, Felipe Garcia-Sanchez

Indexed on: 19 Aug '14Published on: 19 Aug '14Published in: International Journal of Fracture


From the viewpoint of fracture mechanics, of importance is the near-tip field which can be characterized as field intensity factors. In this paper, the crack-tip field intensity factors of the stress and electric displacement in two dimensional piezoelectric solids are evaluated by using four approaches including the displacement extrapolation, the stress method, the J-integral and the modified crack closure integral method (MCCI) based on a boundary element method (BEM). The strongly singular displacement boundary integral equations (BIEs) are applied on the external boundary of the cracked solid, while the hypersingular traction BIEs are used on the crack faces. Three numerical examples are presented to show the path independence and the high accuracy of the J-integral in piezoelectric materials and to analyze the pros and cons of these approaches in evaluating the field intensity factors.