Thermoelastic waves in a fractional-order initially stressed micropolar diffusive porous medium

Present research is concerned with the study of two-dimensional disturbances in a non-homogeneous, isotropic, thermoelastic medium with voids and gravity under the purview of Lord–Shulman (LS) model of generalized thermoelasticity. The formulation is subjected to a thermal shock. All the mechanical and thermal properties of the solid are supposed to vary exponentially with distance. Normal mode technique is employed to obtain the exact expressions for the displacement components, stresses, change in volume fraction field and temperature field. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. Influences of non-homogeneity, gravitational field, voids and relaxation time on the physical quantities are carefully analyzed. A comparison between the models of coupled thermoelasticity theory and LS theory is also presented.

Thermo-mechanical interactions in a functionally graded elastic material with voids and gravity field

In this paper, the governing equations of a rotating orthotropic magneto-thermoelastic half-space with diffusion are formulated in the context of Lord-Shulman's theory of generalized thermoelastici...

Reflection of plane waves from the free surface of a rotating orthotropic magneto-thermoelastic solid half-space with diffusion

Propagation of Rayleigh waves on curved surfaces

In this paper, an analytical method is used to investigate the Rayleigh wave generation in a stratified structure and the wave generation in a dry sandy layer constrained between the couple stress and inhomogeneous orthotropic half-spaces. This study is devoted to analyzing the impact of various effective parameters associated with the media on the phase velocities of the wave. The displacement components for each medium are derived by implementing the separable variable method. The frequency equation is secured by using the displacement components in the boundary conditions, imposed at the interfaces between the layer and half-spaces. Moreover, the secured equation is the relation between the phase velocity and the wave number. Numerical computations are performed, and graphical representations are demonstrated between the phase velocity and the wave number for both phase velocities with different values of the parameters. The comparison between the phase velocities is observed for the same value of each parameter.

An analytical study on the Rayleigh wave generation in a stratified structure

The prime objective of the present article is to analyze the effects of rotation and initial stress on the propagation of Rayleigh surface waves in a homogeneous, orthotropic magneto-thermoelastic ...

S. M. Ahmed

Papers

Rayleigh surface wave propagation in an orthotropic rotating magneto-thermoelastic medium subjected to gravity and initial stress