Structural Engineering and Mechanics

Volume 80, Number 3, 2021, pages 265-274

DOI: 10.12989/sem.2021.80.3.265

Rayleigh waves in porous orthotropic medium with phase lags

Siddhartha Biswas

Abstract

The present article deals with the propagation of Rayleigh surface waves in homogeneous orthotropic medium. This thermoelastic problem is studied under the purview of three-phase-lag model of hyperbolic thermoelasticity in the presence of voids. The normal mode analysis is employed to obtain a vector matrix differential equation which is then solved by eigenvalue approach. The frequency equations for different cases are derived. In order to illustrate the analytical developments, the numerical solution is carried out and the computer simulated results in respect of phase velocity and attenuation coefficient are presented graphically. Phase velocity and attenuation coefficient decreases in the presence of voids. The present problem is the most general one as other problems can be obtained as special cases from it.

Key Words

eigenvalue approach; orthotropic medium; Rayleigh wave; three-phase-lag model; voids

Address

Siddhartha Biswas: Department of Mathematics, University of North Bengal, Darjeeling, India