Generalized Plane Waves in a Rotating Thermoelastic Double Porous Solid

Abstract

The propagation of plane waves in a rotating homogeneous, isotropic, thermoelastic solid with double porosity following Lord-Shulman’s theory of thermoelasticity has been investigated. It is assumed that the medium rotates about an axis normal to the surface with a uniform angular velocity. There may exist five coupled waves that evolved due to the longitudinal, transverse disturbance, voids of type-I and type-II, and temperature change in the medium. The secular equation for the model under consideration has been derived with the help of formal solutions and boundary conditions. The amplitude of displacements, temperature change and volume fraction fields for voids of type-I and type-II have also been computed analytically. Finally, numerical computations have been carried out for magnesium crystal material to understand the behavior of amplitude of phase velocity, penetration depth, specific loss, displacement components, temperature change, and volume fraction field due to type-I and type-II voids corresponding to the different rotation rates. Various graphs have been plotted to support the analytical findings. The study may be used in the development of rotation sensors, material design and thermal efficiency.

Energy ratio response at the interface of elastic and dual-porous thermoelastic half-spaces

“…These investigations provide valuable insights into how these composite materials respond to varying conditions, thereby advancing comprehension of their mechanical characteristics and the propagation of waves within them. Gupta and his coworker [30][31][32][33][34][35][36][37] investigated various wave propagation problems in elastic, thermoelastic and piezoelectric materials.…”

Photo-thermo-piezo-elastic waves in semiconductor medium subject to distinct two temperature models with higher order memory dependencies

“…The importance of this research resides in its capacity to enhance our comprehension of the repercussions of thermal lagging and the associated secondary effects that manifest in micro-scale heat transfer models when subjected to high-frequency stimuli. Several researchers (Li, 2017;Pathania et al, 2022;Abouelregal et al, 2022;Pathania et al, 2023;Yadav et al, 2023) have dedicated their investigations to exploring various issues related to the plane waves focusing on fractional order, two temperature theories and nonlocality. Lewis et al (1991Lewis et al ( , 1997Lewis et al ( , 2004) conducted an in-depth treatment of various heat transfer problems.…”

Reflection at the free surface of the orthotropic piezo-hygro-thermo-elastic medium

“…Alzahrani et al (2020) used the eigenvalues method to investigate a two-dimensional porous material with varying conductivity, including weak, strong and normal conductivity. Numerous researchers have investigated various problems related to the reflection and transmission of plane waves (Sharma and Marin, 2013; Marin et al , 2017; Yadav, 2020, 2022a; Pathania et al , 2022; Yadav, 2022b; Pathania et al , 2023).…”

“…Alzahrani et al (2020) used the eigenvalues method to investigate a two-dimensional porous material with varying conductivity, including weak, strong and normal conductivity. Numerous researchers have investigated various problems related to the reflection and transmission of plane waves (Sharma and Marin, 2013;Marin et al, 2017;Yadav, 2020Yadav, , 2022aPathania et al, 2022;Yadav, 2022b;Pathania et al, 2023). Raja et al (2004b), using the virtual work concept, demonstrate the impact of active stiffness on the dynamic behavior of piezo-hygro-thermo-elastic (PHTE) laminates and a coupled piezoelectric finite element formulation with a hygro-thermal strain field has been HFF 33,10 developed.…”