Dissipation function in hyperbolic thermoelasticity

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The equations governing two hyperbolic thermoelasticity theories (with one or with two relaxation times) are examined from the standpoint of thermodynamics with internal variables, i.e., employing the free energy and the dissipation function explicitly. In the case of thermoelasticity with one relaxation time (the Lord-Shulman model), the derivation relies on an extended state space and a representation theory of Edelen. In the case of thermoelasticity with two relaxation times (the Green-Lindsay model), the derivation process by simply using the thermodynamic orthogonality of Ziegler.

Original languageEnglish (US)
Pages (from-to)68-74
Number of pages7
JournalJournal of Thermal Stresses
Issue number1
StatePublished - Jan 2011


  • Dissipation
  • Heat conduction
  • Relaxation times
  • Thermoelasticity with finite wave speeds

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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