The Dynamic Anti-plane Behavior For Interfacial Cracks On An Asymmetric Circular Cavity In Piezoelectric Bi-materials

The space industry has been evolving to embrace intelligent material;this has highlighted the necessity to involve the use of piezoelectric material by taking advantage of its electromechanical couple capacity.However,making performance analysis on the electromechanical couple capacity for such material becomes one of the contemporary issues in mechanics research.Likewise,defects in piezoelectric bi-materials are most likely ignored in the manufacturing phase.Therefore,it is vital to inspect the mechanical performance for interfacial cracks in piezoelectric bi-materials.Based on the linear piezoelectric theory,this article has examined the dynamic anti-plane behavior of interfacial cracks on an asymmetric circular cavity in the bipolar piezoelectric materials.In this paper,the main work has the following contents:Toward this end,this article adopts the solid mechanics theory.The Green's Functions have been built for solving the half-infinite space problem.By transforming coordinated systems and examining the fundamental property of Green's function,the proposed methodology intends to adapt the singularity of this topic.Next,the incidence,reflection and refraction behaviors of the SH waves(shear waves polarized in the horizontal plane)at such surface have been deducted based on the theory of SH waves' propagation in infinite piezoelectric materials;these three waves are defined as incident waves.Respectively,these three scattering wave's functions with the circular cavity boundary conditions have been verified.Moreover,the final integral equations of the topic have been obtained by inverting the mechanical boundary conditions.Particularly,in terms of the analyzable conditions,a crack under the stress boundary condition at the circular cavity interface has been made;the dynamic stress intensity factors(DSIF)of the crack tip have been obtained.Similarly,different materials have been glued together under satisfied boundary conditions.This has been simplified as the surface of the piezoelectric bi-materials under the additional pressure from unknown sources.Ultimately,the final integral equation has been solved utilizing the Trapezium Formula given in the first Fredholm integral equation.The effectiveness of the proposed model has been validated by numerical analysis.Furthermore,the results of this article will be verified in the futuristic material tests and further validated in practical manufacturing processes.