Rayleigh waves in nonlocal generalized thermoelastic media

Abstract

Purpose The purpose of this article is to investigate the propagation characteristics (such as particle motion, attenuation and phase velocity) of a Rayleigh wave in a nonlocal generalized thermoelastic media. Design/methodology/approach The bulk waves are represented with Helmholtz potentials. The stress-free insulated and isothermal plane surfaces are taken into account. Rayleigh wave dispersion relation has been established and is found to be complex. Due to the presence of radicals, the dispersion equation is continuously computed as a complicated irrational expression. The dispersion equation is then converted into a polynomial equation that can be solved numerically for precise complex roots. The extra zeros in this polynomial equation are eliminated to yield the dispersion equation’s roots. These routes are then filtered for inhomogeneous wave propagation that decays with depth. To perform numerical computations, MATLAB software is used. Findings In this medium, only one mode of Rayleigh wave exists at both isothermal and insulated boundaries. The thermal factors of nonlocal generalized thermoelastic materials significantly influence the particle motion, attenuation and phase velocity of the Rayleigh wave. Originality/value Numerical examples are taken to examine how the thermal characteristics of materials affect the existing Rayleigh wave’s propagation characteristics. Graphical analysis is used to evaluate the behavior of particle motion (such as elliptical) both inside and at the isothermal (or insulated) flat surface of the medium under consideration.

Size-dependent effect on the interaction of surface waves in micropolar thermoelastic medium with dual pore connectivity

“…Each plot showcases a mesmerizing phenomenon: particles trace an elliptical path that spirals over time, encompassing both vertical and horizontal motion. This behavior aligns with the well-established property of Rayleigh waves to induce simultaneous horizontal and vertical vibrations [68,69]. Intriguingly, the spiraling elliptical motion remains consistent overall, but a closer look reveals subtle variations in the intensity of U 1 and U 3 .…”

Impact of memory-dependent heat transfer on Rayleigh waves propagation in nonlocal piezo-thermo-elastic medium with voids

“…The presented plots reveal captivating phenomena in which particles exhibit a spiral elliptical trajectory over time, including both horizontal and vertical motion, across all examined depth ( z ) values. The intriguing behavior seen may be due to the intricate characteristics of Rayleigh waves, which are well-known for their ability to induce simultaneous horizontal and vertical vibrations (Sharma, 2023; Kumar et al , 2023c). One notable observation is that, while the general spiral ellipse pattern stays consistent, there are subtle variations in the amplitude of horizontal and vertical particle motion.…”

Propagation of plane waves at the initially stressed surface of an orthotropic nonlocal rotating half space under dual-phase-lag model

“…A problem of reflection of waves at the free surface of a nonlocal thermoelastic half-space under the purview of Lord-Shulman model of generalized thermoelasticity was studied by Das et al (2022). Kumar et al (2023) investigated the propagation characteristics of a Rayleigh wave with isothermal and insulated boundaries of nonlocal generalized thermoelastic media. Chaudhary et al (2023) examined the characteristics of plane waves in a transversely isotropic nonlocal thermoelastic medium with variable thermal conductivity and viscosity.…”

“…(2022). Kumar et al. (2023) investigated the propagation characteristics of a Rayleigh wave with isothermal and insulated boundaries of nonlocal generalized thermoelastic media.…”