Abstract
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.
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In Memory of Don Carlson.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Casey, J. Nonlinear Thermoelastic Materials with Viscosity, and Subject to Internal Constraints: A Classical Continuum Thermodynamics Approach. J Elast 104, 91–104 (2011). https://doi.org/10.1007/s10659-010-9298-x
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DOI: https://doi.org/10.1007/s10659-010-9298-x