Propagation and Reflection of Plane Waves in a Rotating Magneto-Elastic Fibre-Reinforced Semi Space with Surface Stress

Abstract

The present paper investigates the propagation of quasi longitudinal (qLD) and quasi transverse (qTD) waves in a magneto elastic fibre-reinforced rotating semi-infinite medium. Reflections of waves from the flat boundary with surface stress have been studied in details. The governing equations have been used to obtain the polynomial characteristic equation from which qLD and qTD wave velocities are found. It is observed that both the wave velocities depend upon the incident angle. After imposing the appropriate boundary conditions including surface stress the resultant amplitude ratios for the total displacements have been obtained. Numerically simulated results have been depicted graphically by displaying two and three dimensional graphs to highlight the influence of magnetic field, rotation, surface stress and fibre-reinforcing nature of the material medium on the propagation and reflection of plane waves.

Reflection and Propagation of Magneto-Thermoelastic Plane Waves at Free Surfaces of a Rotating Micropolar Fibre-Reinforced Medium under G-L Theory

“…28 An eigenvalue approach was utilized by Sinha and Bera to solve the fundamental equations of the problems of generalized thermo-elasticity with rotation. 29 Similar issues of wave propagation and reflection in the context of fibre-reinforced or thermo-elasticity with distinct parameters were studied by Deswal, Sheokand, and Kalkal, 30 Roy, Acharya, and Acharya, 31 Singh and Singh, 32 Singh and Lianngenga, 33 and Lianngenga and Singh. 34 In view of the above literatures, the present investigation is concerned with propagation and reflection of magnetothermoelastic plane waves at the free surfaces of a rotating micropolar fibre-reinforced medium under G-L theory.…”

Internal heat source, rotation, magnetic field, and initial stress influence on p-waves propagation in a photothermal semiconducting medium

“…The numerical values of the field quantities have also been assessed using the MATLAB R2023a program. The following material characteristics of silicon, as listed in [18], [19], are taken into account for numerical computations: density N and absolute value of temperature T with respect to distance z . Figure 1 clearly reveals that the components of displacement u exhibits decreases and increases in the region 0 ≤ z ≤ 1 and there is no influenced by ,  while the components of displacement w decreases in the region 0 ≤ z ≤ 1 and is greatly influenced by  .…”

Rayleigh-Type Waves in a Rotating Fiber-Reinforced Half Space under the Action of Magnetic Field, Gravity and Surface Stress

“…al. discussed the effect of rotation, magnetic field, initial stress and gravity on Rayleigh waves in a homogeneous orthotropic elastic half-space [18]. The physical properties of bodies in the neighborhood of the surface are sensibly different from those of the interior.…”