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 and 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 Fourier<br />transform. 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 loads<br />have 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, India<br />Rajneesh Kumar: Dept. of Mathematics, Kurukshetra University, Kurukshetra, India<br />Paras Ram: Dept. of Mathematics, N I T, Kurukshetra-136119, India