Executive Summary : | I. The first objective is to analyse the propagation of P/SH/SV waves in layered piezoelectric/ piezomagnetic concentric cylinders with heterogeneous interlayer and common interfaces under slip condition. Displacement and stress components may be expressed in terms of Bessel’s Function and hence dispersion relation may be obtained using suitable electrical (open and short) and mechanical boundary conditions. The impact heterogeneity profile and presence/absence of slip at the interface on the propagation of P/SH/SV waves may be studied extensively. The study will use both the layer-wise homogenization method and the direct integration method. II. The second objective is to study the propagation of P/SV/SH wave through a functionally graded slab sandwiched between two piezoelectric/ piezomagnetic semiconductors will be taken into consideration. Displacements and stresses may be obtained in terms of Whittaker’s function and general solution of the functionally graded slab may be a Magnus series to be approximated using Padé approximation. The amplitude ratios may be procured with the aid of suitable boundary conditions. The influence of different kinds of gradient profile on the propagation behavior of P/SV/SH wave may be discussed through numerical computation. Validation of the energy conservation law may be depicted via numerical results. III. Thirdly, the investigator objects to unravel the propagation of elastic wave in a piezoelectric layer substrate structure with a spring-membrane model at their interface. This spring-membrane model may be decomposed in (a) The spring model (b) The membrane model (c) The combined spring-membrane model (d) The classical model. Comparative study of these models and their effect on the dispersion of shear/Rayleigh wave may illustrate interesting results. Dispersion curves of the waves with the established interface models may be demonstrated through graphical presentation. IV. The fourth objective may object discuss the behavior of coupled waves propagating in a cubic piezoelectric/piezomagnetic half-space. The reflected qP/qSV wave may produce the qP wave, qSV wave, EA wave and CA wave, at the traction free surface of the considered media. Using the RR (reflection/refraction) matrix method and suitable boundary conditions, the amplitude ratios may be obtained and the influence of electric field on the amplitude ratios may be studied numerically. The expression for energy flux of the waves may also be obtained. V. The fifth objective aims to analyse the propagation of SH-wave through thin metal strips dumped periodically on the surface of a cubic piezoelectric/ piezomagnetic elastic medium. The dispersion relation may be obtained by field analysis method based on the Bloch–Floquet theory and the coupled equations of wave motion. Numerical computation will depict the effect of ratios of strip height and width to grating periodicity on frequencies and phase velocities. |