Journal of Elasticity

, Volume 104, Issue 1–2, pp 91–104 | Cite as

Nonlinear Thermoelastic Materials with Viscosity, and Subject to Internal Constraints: A Classical Continuum Thermodynamics Approach

  • James Casey
Open Access


A general approach to continuum thermodynamics that was advocated by R.S. Rivlin is carried out for thermoelastic materials which can also depend on strain rate. An entropy function is constructed (rather than assumed to exist). A method for treating thermomechanical internal constraints for such materials is also presented. In this method, the properties of a constrained material are inherited from those of a related equivalence class of unconstrained materials.


Continuum thermodynamics Thermoelasticity Viscosity Internal constraints 

Mathematics Subject Classification (2000)

74A15 74A20 74B20 76A02 


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Copyright information

© The Author(s) 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of California, BerkeleyBerkeleyUSA

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