Impulsive point sources are one of the external forces which can create a wave motion in the body. This article investigates the propagation characteristics of Love waves in a visco-porous piezoelectric (VPPE) material layered over a functionally graded piezoelectric (FGPE) substrate, with a point source applied at the interface. Green’s function approach and the Fourier transform are used to derive an analytical solution, of which the real part yields the frequency curve and the imaginary part yields the attenuation curve. Some particular cases are derived and compared with the existing studies for validation. Numerical illustrations are provided, showing the variation of phase velocity and attenuation with respect to different parameters, using lithium niobate as the substrate and PZT-5A as the visco-porous piezoelectric material. The findings of the study will be useful in the development and enhancement of surface acoustic wave devices.

The quaternion Fourier Transform (QFT) finds extensive applications across various domains, such as signal processing and optics. This paper strengthens two important uncertainty principles for QFT. First, we proposed two different sharper versions of generalized Heisenberg's uncertainty principle associated with quaternion Fourier trans-form in LP(R2, H) space for p? [1, 2]. Also a new version of Donoho Stark's uncertainty principle associated with QFT is discussed. Furthermore, in some particular case this new Donoho-Stark's uncertainty principle is the sharper version than the existing one in quaternion sense.

This research paper investigates the complex dynamics of Love wave propagation on a piezoelectric plate situated atop a micropolar elastic half-space having imperfect interface. The study delves into the multifaceted effects of flexoelectricity, micro-inertia, guiding layer thickness, and interfacial imperfection on the characteristics of Love waves. The electromechanical coupling factor which is significant in analyzing SAW device performances is also studied. Variable separable method is used to solve the governing equations and desired solution is obtained analytically. The findings contribute to a deeper understanding of Love wave propagation in complex elastic structures and development of advanced sensors and communication technologies

We have investigated the stress distribution induced by a normal load moving across an irregular micropolar layer imperfectly bonded to an orthotropic half-space under initial stress. The analysis considers a parabolic surface irregularity on the layer and an imperfect interface between the layer and half-space. Using appropriate boundary conditions and a perturbation technique closed-form mathematical expressions are derived for normal, tangential, and couple stresses. Numerical computations and graphical analyses have been conducted to illustrate the significant effects of dimensionless parameters such as frictional coefficient, irregularity depth, irregularity factor, coupling factor, bonding parameters, and initial stresses on the normal, tangential, and couple stresses. The results reveal that these characteristics significantly influence the stress distribution within both the irregular upper layer and the underlying half-space. These findings have practical implications across various fields, including highway and airport runway construction, heavy haulage, civil engineering, and earthquake engineering, where accurate stress modeling is essential for infrastructure stability and safety.

The present paper uses mathematical analysis to investigate Rayleigh wave transference in an orthotropic layer. The considered model comprises an orthotropic layer covering a homogeneous isotropic micropolar half-space. The surface of the layer and the interface of the two media are taken to be corrugated. The dispersion relation is obtained in the determinant form, which describes the reliance of Rayleigh wave velocity on wave number. Some particular cases have also been deduced and are found to match existing results. The primary outcome of the present study is that the corrugation present in the structure has an influential impact on the velocity of the propagating wave. This impact has been presented through graphs. Moreover, the dynamic response of the layer's height, elastic constant, material density of the orthotropic material, and micropolarity associated with the half-space on the phase velocity of Rayleigh waves have also been shown with the aid of graphs. The present paper finds its applications in the theoretical study of surface wave transference in anisotropic elastic structures.

This article is dedicated to analyse the propagation and attenuation behaviour of Love-type waves in an imperfectly bonded viscoelastic-functionally graded piezoelectric material (FGPM) layered structure. The linear spring model is adopted to portray the interfacial imperfection. The wave solutions in the FGPM substrate are approximated using Wentzel–Kramers–Brillouin (WKB) approximation technique. Dispersion relation is obtained and found to be complex in nature, when traction-free and electrically short conditions are taken into account. Numerical example and computations have been presented to analyse the dispersion equation. The pronounced effects of different parameters such as gradient coefficients, layer’s width, interfacial imperfection, and dissipation factor on the phase velocity, as well as attenuation coefficient of the Love-type wave have been illustrated graphically. Obtained results may be used to achieve better performance of surface acoustic wave (SAW) devices and Love-wave sensors.