A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations

Wakeni, M.F., Reddy, B.D. and McBride, A.T. (2016) A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. International Journal of Engineering Science, 108, pp. 1-8. (doi:10.1016/j.ijengsci.2016.08.008)

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Abstract

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative components. Constitutive relations for the stress, the entropy and the energetic component of the heat flux are derived in a thermodynamically consistent manner. A Lyapunov function for the dynamics is obtained for the case in which the surface of the continuum body is maintained at a reference temperature. It is shown that the system is non-linearly stable. The linearized model is shown to be similar to the type III model of Green and Naghdi, except for some minor differences in the interpretations of some of the parameters.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew
Authors: Wakeni, M.F., Reddy, B.D., and McBride, A.T.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Engineering Science
Publisher:Elsevier
ISSN:0020-7225
ISSN (Online):1879-2197
Published Online:01 September 2016
Copyright Holders:Copyright © 2016 Elsevier
First Published:First published in International Journal of Engineering Science 108:1-8
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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