Finite Element Analyses of Cracks in Piezoelectric Structures
A review is given about FEM-techniques to compute the coupled electromechanical boundary value problem of cracks in piezoelectric structures under static and dynamic loads. To calculate the relevant fracture parameters very precisely and efficient, the following numerical techniques are presented: i) Special singular crack tip elements, ii) Modified crack closure integral, iii) Computation of electromechanical J-integral and iv) Usage of interaction integrals. Special emphasis is devoted to different electric crack face boundary conditions. The accuracy, efficiency and applicability of these techniques are examined by various example problems and discussed with respect to their advantages and drawbacks for practical applications.
J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel
M. Kuna "Finite Element Analyses of Cracks in Piezoelectric Structures", Key Engineering Materials, Vols. 348-349, pp. 629-632, 2007