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On the thermodynamics and stability of deformable dielectrics

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Abstract

A brief derivation of the equations for deformable dielectrics is presented. The basic theory generalises that due to Toupin [1], for it contains thermomechanical interactions and viscous dissipation within a non-equilibrium thermodynamic framework recently constructed by Bree and Beevers [2]. Some asymptotic and Lyapounov stability results are established for initial-boundary value problems in the linearised theory using extended energy arguments. Similar arguments are then applied to produce analogous stability results for small electro-mechanical perturbations superimposed on a large static deformation and a strong magnetic field.

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Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, Riccarton, Currie, EH14 4AS, Edinburgh, UK

    C. E. Beevers

  2. Faculty of Mathematical Studies, University of Southampton, SO9 5NH, Southampton, Hampshire, UK

    R. E. Craine

Authors
  1. C. E. Beevers
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  2. R. E. Craine
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Beevers, C.E., Craine, R.E. On the thermodynamics and stability of deformable dielectrics. Appl. Sci. Res. 37, 241–256 (1981). https://doi.org/10.1007/BF00951250

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  • DOI: https://doi.org/10.1007/BF00951250

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