Abstract
The present investigation is concerned with the propagation of waves and their reflection and transmission from a plane interface between two different swelling porous thermo elastic half-spaces in welded contact. It is shown that there exist two dilatational waves, thermal wave and two transverse waves propagating with different velocities. The amplitude ratios of various reflected and transmitted waves are computed and presented graphically. It is found that amplitude ratios of reflected and transmitted waves are functions of angle of incidence, frequency and swelling porosity of the media. A particular case has also been deduced from the present investigation. The present investigation has immense application in geophysics and manufactured materials.
Highlights
The continuum theory of mixtures is extensively studied in literature
Eringen [1] has developed a continuum theory of swelling porous elastic soils as a continuum theory of mixture consisting of three components an elastic solid, a viscous fluid and a gas
Swelling porous elastic solid is a special case of continuous theory of mixture which consists of elastic solid, a viscous fluid & a gas
Summary
The continuum theory of mixtures is extensively studied in literature. In this theory, a greater abstraction was achieved by assuming that the constituents of a mixture could be modeled as superimposed continua, so that each point in the mixture was simultaneously occupied by a material point of each constituent. Eringen [1] has developed a continuum theory of swelling porous elastic soils as a continuum theory of mixture consisting of three components an elastic solid, a viscous fluid and a gas. He used second law of thermodynamics to develop general and linear constitutive equations. Tomar et al [14], studied the reflection and refraction of SH waves at corrugated interface between transversely isotropic and visco-elastic solid half space. We have studied the reflection and transmission of waves at an interface of two swelling porous thermo elastic media. Equations (1)-(3) with the aid of (6) - (8) in absence of body forces and heat sources take the form,
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