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Structural Engineering and Mechanics Volume 28, Number 1, January10 2008 , pages 19-38 DOI: https://doi.org/10.12989/sem.2008.28.1.019 |
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Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain |
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Nidhi Sharma, Rajneesh Kumar and Paras Ram
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| Abstract | ||
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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 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 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 Rajneesh Kumar: Dept. of Mathematics, Kurukshetra University, Kurukshetra, India Paras Ram: Dept. of Mathematics, N I T, Kurukshetra-136119, India | ||