Affiliations: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India | Department of Mathematics, University of Petroleum & Energy Studies, Dehradun, India
Note: [] Address for correspondence: Kuldeep Sharma, Department of Mathematics, University of Petroleum & Energy Studies, Dehradun-248007, India. Tel.: +91 9456318765; E-mail: [email protected]
Abstract: The analytic solution for Griffith's crack in an infinite 2-D piezoelectric domain is obtained for arbitrary polarization direction. The analytical approach considered here is simple and different from the existing methodology (where the solutions are firstly obtained for an elliptical void and then degenerated to Griffith's crack solution). The obtained results have shown that intensity factors (IFs) are independent of the polarization direction for Griffith's crack in an infinite 2-D piezoelectric domain. The solution for a polarization perpendicular to the crack is also obtained and validated with existing results. The results of IFs are also obtained numerically using extended finite element method (X-FEM). It is observed that IFs for a finite specimen is polarization direction dependent.
