Finite Element Formulation and Analysis of Fracture Resistance Effected by Near-Tip Nonlinearities in Piezoelectric Solids

摘要

Considering the fact there are no systematic study on crack effected by large-scale near-tip nonlinearities up to now, a nonlinear finite element formulation accounting for nonlinearities and elasticity coupled with piezoelectricity is derived and a finite element program is developed. Numerical examples are presented to show the effect of nonlinear fracture characteristics of fracture resistance. It is found that an electric field may give a negative driving force to prevent crack propagation.