Wave propagation in thermoelastic solid with double porosity

Abstract

The propagation of time harmonic plane waves in an unbounded thermoelastic solid with double porosity structure has been explored. It is observed that there exist five basic waves, out of which four are dispersive, attenuating coupled longitudinal waves influenced by the presence of both type of porosity and the thermal properties of the medium. While, lone transverse wave propagates with the speed of classical transverse wave. The reflection phenomenon for the coupled longitudinal waves striking obliquely against the stress-free and thermally insulated boundary surface has been investigated. newlineRayleigh-type and Love-type surface waves in a perfectly bonded layered thermoelastic half-space possessing double porosity structure have been explored. Using isothermal/insulated stress-free boundary surface conditions, the dispersion equations are derived. It is found that both Rayleigh-type and Love-type waves are dispersive, attenuating and multi-modal. For the Love-type wave propagation, two different fronts are obtained. The first front of Love-type wave is analogous to the classical Love waves and the second front is due to the presence of porosity and thermal properties of the medium. newline A nonlocal linear theory for homogeneous, isotropic elastic materials with double porosity within the context Eringen s nonlocality has been developed. It is observed that there may exist four plane harmonic waves, out of which three are dispersive and attenuating coupled longitudinal waves and they are affected by the presence of both types of porosity and nonlocality, while lone non-attenuating transverse wave is influenced only by the nonlocality of the medium. newline newline