13 August 2003 New approach to solving crack tip stress fields for piezoelectric materials
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A new technique has been developed which solves the anisotropic stress fields in piezoelectric materials. The technique utilizes orthotropy 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 to finite element modeling.
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William S. Oates, William S. Oates, Christopher S. Lynch, Christopher S. Lynch, "New approach to solving crack tip stress fields for piezoelectric materials", Proc. SPIE 5053, Smart Structures and Materials 2003: Active Materials: Behavior and Mechanics, (13 August 2003); doi: 10.1117/12.484080; https://doi.org/10.1117/12.484080

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