Abstract
This chapter addresses the evaluation of the stress and electric field concentrations around a circular hole in a functionally graded piezoelectric plane subjected to anti-plane elastic SH-wave and in-plane time-harmonic electric load. All material parameters vary exponentially along a line of arbitrary orientation in the plane of the piezoelectric material under consideration. Numerical solutions with non-hypersingular traction BIEM for the stress and electric field concentration factors (SCF and EFCF, respectively) around the perimeter of the hole are obtained. Presented are results showing the dependence on various system parameters as e.g. the electro-mechanical coupling, the type of the dynamic load and its characteristics, the wave-hole and wave-material interaction and the magnitude and direction of the material inhomogeneity.
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Dineva, P., Gross, D., Müller, R., Rangelov, T. (2014). Exponentially Inhomogeneous Piezoelectric Solid with a Circular Anti-plane Hole. In: Dynamic Fracture of Piezoelectric Materials. Solid Mechanics and Its Applications, vol 212. Springer, Cham. https://doi.org/10.1007/978-3-319-03961-9_14
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DOI: https://doi.org/10.1007/978-3-319-03961-9_14
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