Effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials

Abstract

In the present article, we have studied the reflection/transmission of elastic waves in initially stressed transversely isotropic thermoelastic materials. Three quasi type coupled longitudinal (QL), transverse (QT), and thermal waves are found to propagate in initially stressed transversely isotropic thermoelastic materials. For incident QL and QT‐waves at a plane interface, boundary conditions were implemented for obtaining the coefficients of reflection/transmission, the distribution of energy in the reflected and transmitted waves are also discussed. We have observed that the results vary with direction of incidence as well as the parameters due to elasticity, thermal, and initial stresses. Numerical computations have been performed and analyzed the impact of initial stresses on the results. It has been observed critical angles at θ0=30° and 58° for the reflected and transmitted QL‐waves for incident QT‐wave.

Keywords

• energy ratios
• initial stresses
• longitudinal and transverse waves
• reflection/transmission coefficients
• thermoelastic materials