A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. (November 2016)

• Record Type: Journal Article
• Authors: Wakeni, M.F.; Reddy, B.D.; McBride, A.T.
• Is Part Of: International journal of engineering science. Volume 108(2016:Nov.)
• Page Start: 1
• Page End: 8
• Publication Date: 2016-11
• Subjects: Thermodynamically consistent -- Thermoelasticity -- Energetic and dissipative flux component -- Constitutive relations -- Lyapunov function; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2016.08.008
• Languages: English
• ISSNs: 0020-7225

Abstract

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.