Love-type waves in thermoelastic solid with double porosity structure

Abstract

In the present work, we consider a model consisting of an elastic layer of finite thickness resting over an elastic half-space in perfect contact. The layer and the half-space both are assumed to be composed of different thermoelastic materials possessing different double porosity structures. The dispersion relation for Love-type surface waves has two factors, one of which matches exactly with the dispersion relation of Love waves of classical elasticity, while the second factor arises due to the presence of double porosity and thermal field in the model. Each of these factors (dispersion relation) provides two types of Love waves called ‘first front’ and ‘second front’ of Love waves. For a specific model, these two dispersion relations are computed numerically to obtain the phase speed of corresponding front of propagating Love waves. It is found that the speed of second front is much faster than the speed of first front. The phase speed of fundamental mode of the second front increases with the inclusion of thermal property, while it decreases with the inclusion of either type of voids/porosities in the model. Some earlier known results are also recovered from the present formulation as special cases.