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Abstract

A new technique has been developed which solves the anisotropic stress fields in piezoelectric materials. The technique utilizes orthotropic rescaling by rescaling the coordinate axes in terms of certain elastic, piezoelectric, and dielectric material coefficients to obtain the biharmonic equation. The steps which lead to the biharmonic equation require decoupling the stress and electric field components. It is shown that for a certain ratio of dielectric and piezoelectric coefficients, an applied electric field does not change the stress field near a crack tip. The new technique is compared to Stroh’s formalism and finite element modeling.

Keywords

orthotropic rescaling fracture Stroh’s formalism piezoelectric

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New Approach to Solving Crack Tip Stress Fields for Piezoelectric Materials

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