Plane waves and fundamental solution in a modified couple stress generalized thermoelastic with three-phase-lag model
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 14 November 2016
Abstract
Purpose
The purpose of this paper is to deal with the study of plane waves and fundamental solution in a modified couple stress generalized thermoelastic solid with three-phase-lag (TPL) model of thermoelasticity.
Design/methodology/approach
It is found that for two-dimensional model, there exists two longitudinal waves, namely, longitudinal wave (P-wave), thermal wave (T-wave), and a set of coupled transverse waves (SV1 and SV2 waves). In addition, the fundamental solution for the system of differential equations for steady oscillations in terms of elementary functions has been constructed. Some properties of fundamental solution are also established. Various particular cases of interest are also deduced from the present investigations and compared with the known results.
Findings
The phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically and presented graphically to see the effect of TPL model, dual-phase-lag (DPL) model and GN-III model in the presence of couple stress parameter.
Originality/value
The results are compared with couple stress TPL model, couple stress DPL model and GN-III model.
Keywords
Citation
Kumar, R. and Devi, S. (2016), "Plane waves and fundamental solution in a modified couple stress generalized thermoelastic with three-phase-lag model", Multidiscipline Modeling in Materials and Structures, Vol. 12 No. 4, pp. 693-711. https://doi.org/10.1108/MMMS-04-2016-0018
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited