Abstract
Existing theoretical researches about interfacial crack of bimaterial piezoelectric composites are confined to linear piezoelectric constitutive relation, neglecting the nonlinear part driven by domain switching. This paper attempts to extend the research of mode III interfacial crack from linear piezoelectricity to nonlinear ferroelectricity. The analysis focuses on the variation of stress intensity factor caused by domain switching, with an arbitrary three-dimensional initial poling orientation. Due to the mismatch of material properties, an asymmetric nonuniform domain switching zone is achieved around the interfacial crack under the nonuniform domain switching criterion. By employing the weight function method, analytic forms of mono-domain and multi- domain toughening effects about stationary and quasi-static steady-state crack are obtained, respectively. The conclusions come to that domain switching of mode III quasi-static steady-state growing interfacial crack has a positive effect to toughen the material. The research can provide some guidance for material selection to maximize the effect of ferro-elastic switch toughening.
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