Structural Engineering and Mechanics

Volume 28, Number 1, 2008, pages 19-38

DOI: 10.12989/sem.2008.28.1.019

Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain

Nidhi Sharma , Rajneesh Kumar , Paras Ram

Abstract

A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fouriertransform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loadshave been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

Key Words

generalized thermoelastic diffusion; time harmonic; concentrated and distributed loads; fourier transform.

Address

Nidhi Sharma: Dept. of Mathematics, N I T, Kurukshetra-136119, IndiaRajneesh Kumar: Dept. of Mathematics, Kurukshetra University, Kurukshetra, IndiaParas Ram: Dept. of Mathematics, N I T, Kurukshetra-136119, India

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

Loading…