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Simple Thermomechanical Materials with Memory

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Abstract

This paper presents a framework for formulating frame-free constitutive laws for simple materials accounting for thermal effects. It is shown how memory can be modeled within this framework and fading memory is given as an example. The restrictions that the second law of thermodynamics on the constitutive laws for materials with fading memory are found using the Coleman–Noll procedure. It is shown that materials with fading memory, when undergoing a process that is long and slow enough can be approximated in some sense. Finally, equilibrium states are considered and under weak assumptions the familiar relations from thermostatics are obtained.

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Authors and Affiliations

  1. Dept. of Math & Stat, McGill University, 805 Sherbrooke Street, West Montreal, QC, H3A 2K6, Canada

    Brian Seguin

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  1. Brian Seguin
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Correspondence to Brian Seguin.

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This paper is dedicated to the memory of Donald E. Carlson. I was fortunate enough to have Don as an advisor while I was an undergraduate at UIUC and as a friend after I graduated. Everyone I know who knew Don liked him. He was a very warm individual. I am very grateful for everything he did for me.

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Seguin, B. Simple Thermomechanical Materials with Memory. J Elast 105, 207–252 (2011). https://doi.org/10.1007/s10659-011-9326-5

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  • DOI: https://doi.org/10.1007/s10659-011-9326-5

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