Simplified analysis of steady-state crack growth of piezoelectric ceramics based on the continuum damage mechanics

A simplified analysis of crack growth of piezoelectric ceramics was performed by using the double cantilever beam (DCB) model. The analysis was intended for the crack growth in a steady state by using some assumptions to simplify the analysis. In the present paper, damage within piezoelectric ceramics was represented by a damage variable based on the continuum damage mechanics, and the effect of the damage on material properties was taken into account in a constitutive equation of the piezoelectric ceramics. The constitutive equation and an evolution equation of the damage variable were applied to the DCB model. Then, the crack growth in the DCB model was dealt with within the framework of the continuum damage mechanics. As a result of the analysis, a constant crack growth rate and distribution of stress, strain and damage variable in front of the crack tip were elucidated, and the effects of the applied electric field on the crack growth were discussed in particular.