The scattering of electroelastic waves by an ellipsoidal inclusion in piezoelectric medium |
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| Affiliation: | 1. Research Institute of Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, 23 Gagarin avenue, Nizhni Novgorod 603950, Russia;2. Research and Education Center “Materials”, Don State Technical University, 1 Gagarin sq., Rostov-on-Don 344000, Russia;1. Mechanical Engineering Program, Texas A&M University at Qatar, Engineering Building, P.O. Box 23874, Education City, Doha, Qatar;2. Department of Civil Engineering, Karadeniz Technical University, 61080, Ortahisar-Trabzon, Turkey |
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| Abstract: | The scattering problem for a single ellipsoidal piezoelectric inclusion embedded in piezoelectric medium is investigated. Based on the polarization method, the extended displacements are expressed in terms of integral equations, whose kernels are obtained from the Green’s functions of homogenous matrix. In this paper, the 3D dynamic Green’s functions are derived by means of the Radon transform technique. To illustrate the use of the equations, scattering by a piezoelectric, ellipsoidal inhomogeneity in a piezoelectric medium is considered in the low frequency and an asymptotic formula for this scattering cross-section is obtained. Numerical results of the scattering cross-sections are carried out for a spheroidal BaTiO3-inclusion in a PZT-5H-matrix. |
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