Year: 2011
Author: J. N. Sharma, N. K. Sharma, K. K. Sharma
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 1 : pp. 87–108
Abstract
This paper deals with the study of transient waves in a homogeneous isotropic, solid half-space with a permeating substance in the context of the theory of generalized elasto-thermodiffusion. The half-space is assumed to be disturbed due to mechanical loads acting on its boundary. The model comprising of basic governing differential equations and boundary conditions has been solved by employing Laplace transform technique. Noting that the second sound effects are short lived, the small time approximations of solution for various physical quantities have been obtained and the results are discussed on the possible wave fronts. In case of continuous and periodic loads acting at the boundary, the displacement is found to be continuous at each wave front while it is discontinuous in case of impulsive load. The temperature and concentration fields are found to be discontinuous at all the wave fronts. The displacement, temperature change and concentration deviation due to impulsive, continuous and periodic mechanical loads have also been evaluated in the physical domain at all times by employing numerical inversion technique of integral transform. The computer simulated numerical results have been presented graphically in respect of displacement, temperature change and concentration deviation for brass. A significant effect of mass diffusion has been observed on the behaviour of mechanical and thermal waves.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0977
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 1 : pp. 87–108
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Diffusion Laplace transform small time approximations wave fronts.
Author Details
-
Unsteady vibration model of the euler-bernoulli beam taking into account diffusion
Zemskov, A V | Tarlakovskii, D VJournal of Physics: Conference Series, Vol. 1158 (2019), Iss. P.042043
https://doi.org/10.1088/1742-6596/1158/4/042043 [Citations: 2] -
Diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity
Sharma, J. N. | Kumari, N. | Sharma, K. K.Journal of Applied Mechanics and Technical Physics, Vol. 54 (2013), Iss. 5 P.819
https://doi.org/10.1134/S0021894413050155 [Citations: 8] -
Diffusion in Generalized Thermoelastic Solid in an Infinite Body with Cylindrical Cavity
Sharma, J. N. | Kumari Sharma, Nisha | Sharma, K. K.Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, Vol. 83 (2013), Iss. 4 P.353
https://doi.org/10.1007/s40010-013-0098-0 [Citations: 4] -
Unsteady Coupled Elastic Diffusion Processes in an Orthotropic Cylinder Taking into Account Relaxation of Diffusion Fluxes
Zverev, N. A. | Zemskov, A. V. | Tarlakovskii, D. V.Russian Mathematics, Vol. 66 (2022), Iss. 1 P.19
https://doi.org/10.3103/S1066369X2201008X [Citations: 1]