On the Stability of Thermoelastic Materials

Abstract

A notion of material stability is introduced and discussed in the setting of nonlinear thermoelasticity. Necessary and sufficient conditions are established for the stability of a general thermoelastic material. The adiabatic theory and the theory that accounts for heat conduction are considered separately.

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Abeyaratne, R., Knowles, J.K. On the Stability of Thermoelastic Materials. Journal of Elasticity 53, 199–213 (1998). https://doi.org/10.1023/A:1007513631783

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  • thermoelasticity
  • stability
  • strong ellipticity.