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Electrodynamics and Thermomechanics of Material Bodies

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Abstract

We consider a material body emersed in space and, relative to an aether frame, the balance laws which govern its interaction with an electromagnetic, thermal and mechanical environment. A detailed formulation of a non-relativistic theory for studying thermomechanical–electromagnetic processes in deformable media is presented and certain invariance issues are discussed. The idea of an isolated process in a given aether frame is introduced and we identify a related non-increasing Lyapunov function for such processes. This function suggests the structure of a class of minimization problems within the statical theory and we discuss a typical problem within the area of elastic dielectrics.

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Authors and Affiliations

  1. Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA

    Roger Fosdick & Huang Tang

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  1. Roger Fosdick
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  2. Huang Tang
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Correspondence to Roger Fosdick.

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Fosdick, R., Tang, H. Electrodynamics and Thermomechanics of Material Bodies. J Elasticity 88, 255–297 (2007). https://doi.org/10.1007/s10659-007-9124-2

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  • DOI: https://doi.org/10.1007/s10659-007-9124-2

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