Calculation of Dynamic Concentration Factors Due to Longitudinal and Shear Waves in an Elastic Medium with a Spherical Piezoelectric Impurity

The electromechanical coupling behavior of composite piezoelectric materials plays an important role in various industries. Therefore, it is necessary to investigate and study the propagation and scattering of waves in such materials in order to understand their properties and dynamic behavior. in this study, using an exact analytical method, electromechanical fields due to the scattering of plane waves by a piezoelectric spherical particle with spherical isotropic embedded in an unlimited isotropic polymer matrix has been studied. In the present formulation, there is no restriction on the range of the frequency of the incident wave. The dynamic stress concentration factors and the dynamic electric displacement concentration factor at the piezoelectric particle-matrix interface were calculated. Subsequently, the effect of the frequency of the incident wave on the maximum values of the dynamic stress concentration factors and maximum value of the dynamic electric displacement concentration factor as well as their appurtenant locations for shear and longitudinal waves compared