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
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