Dilatational waves at a microstretch solid/fluid interface

Abstract

The present work is concerned with the study of reflection and transmission phenomena of dilatational waves at a plane interface between a microstretch elastic solid half-space and a microstretch liquid half-space. Eringen's theory of microcontinuum materials has been employed for addressing the mathematical analysis. Reflection and transmission coefficients, corresponding to various reflected and transmitted waves, have been obtained when a plane dilatational wave strikes obliquely at the interface after propagating through the solid half-space. It is found that the reflection and transmission coefficients are functions of the angle of incidence, the frequency of the incident wave and the elastic properties of the half-spaces. Numerical calculations have been carried out for a specific model by taking an aluminum matrix with randomly distributed epoxy spheres as the microstretch solid medium, while the microstretch fluid is taken arbitrarily with suitably chosen elastic parameters. The computed results obtained have been depicted graphically. The results of earlier studies have been deduced from the present formulation as special cases.

Reflection of Plane Waves in a Transversely Isotropic Rotating Microstretch Elastic Half-Space

“…The plane waves in an isotropic electromicrostretch elastic solid were investigated by Sharma et al [9]. At a microstretch solid/fluid interface, Singh et al [12] took into account the reflection and transmission of dilatation waves. Singh and Goyal [11] solved the problem for plane wave propagation in transversely isotropic microstretch elastic solid and computed the speeds and reflection coefficients of reflected waves.…”

Reflection-Refraction Coefficients and Energy Ratios in Couple Stress Micropolar Thermoviscous Elastic Solid

“…The problems of reflection and refraction of set of two coupled transverse waves and a set of two coupled longitudinal waves at a plane interface dividing a given medium into two half-spaces which are useful in engineering and geophysics areas. Many problems related to reflection and refraction of waves for a plane split into two media have been discussed by Tomar and Khurana [15]- [17], Tomar and Gogna [18,19], Parfitt and Eringen [20], Tomar [21], Singh et al [22], Zhang and coworkers [23]- [25], Achenbach [26], Sarkar and Tomar [27], Sahrawat et al [28] and Poonam et al [29]. Sahrawat et al [30] investigated the fundamental solution and plane wave propagation in nonlocal couple stress micropolar thermoelastic solid without energy dissipation.…”

Wave Propagation in Couple Stress Micropolar Viscoelastic Generalized Thermoelastic Solid

“…The problems of reflection of a set of two coupled transverse waves and a set of two coupled longitudinal waves at an interface which are useful in engineering and geophysics areas. Many problems related to reflection of waves have been discussed by Tomar and Khurana [17][18][19], Parfitt and Eringen [20], Tomar [21], Singh et al [22], Zhang and coworkers [23][24][25], Achenbach [26], Sarkar and Tomar [27], Sarkar and Tomar [28], Sahrawat et al [29], {Altenbach et al [30] and Erofeev [31].…”