A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations

作者：Wakeni M F^*; Reddy B D; McBride A T

来源：International Journal of Engineering Science, 2016, 108: 1-8.

DOI：10.1016/j.ijengsci.2016.08.008

• Thermodynamically consistent
• Thermoelasticity
• Energetic and dissipative flux component
• Constitutive relations
• Lyapunov function

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 Ill model of Green and Naghdi, except for some minor differences in the interpretations of some of the parameters.

• 出版日期2016-11