Stress and electric field concentrations in piezoelectrics with defects

X. L. Xu; R. K. Nimal D. Rajapakse

doi:10.1117/12.316336

24 July 1998 Stress and electric field concentrations in piezoelectrics with defects

X. L. Xu, R. K. Nimal D. Rajapakse

Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316336
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

Abstract

A solution scheme based on the boundary integral equation method is employed to analyze plane electroelastic fields in piezoelectric solids with arbitrary shaped defects (cavities, cracks, etc). Constitutive equations for solids with hexagonal symmetry are used. The accuracy of the computational scheme is verified by comparing with analytical solutions reported in the literature for a circular cavity and a horizontal center crack in an infinite plane. Numerical results show a significant dependence of mechanical and electric fields on the geometry and orientation of cavities. Complex coupling between electric and mechanical fields is observed. Crack closure calculation of strain energy release rate of piezoelectric solids suggests that strain energy release rate is an accurate fracture criterion for piezoelectric solids, and electric loading may impede or enhance crack propagation. The present boundary element scheme can be used to analyze many interesting fracture problems involving smart structures element with embedded or surface mounted piezoelectric actuators.

Citation Download Citation

X. L. Xu and R. K. Nimal D. Rajapakse "Stress and electric field concentrations in piezoelectrics with defects", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); https://doi.org/10.1117/12.316336

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