Plane waves and fundamental solution in a modified couple stress generalized thermoelastic with three-phase-lag model

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.

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