Numerical Solution of an Edge Cracked 2-D Piezoelectric Media Using Extended Finite Element Method
The numerical solution for an edge crack problem in a two-dimensional (2-D) finite piezoelectric media has been discussed using extended finite element method. The four-fold standard enrichment functions are taken in conjugation with the interaction integral to evaluate the intensity factors (IFs). The intensity factors as well as the mechanical energy release rate and the total energy release rate has been analyzed for different electro-mechanical boundary conditions. It is observed that the IFs results are coupled and contrary to analytic solution which shows uncoupled behaviour.
R. R. Bhargava and K. Sharma, "Numerical Solution of an Edge Cracked 2-D Piezoelectric Media Using Extended Finite Element Method", Applied Mechanics and Materials, Vols. 110-116, pp. 91-98, 2012