Towards thermoelasticity of fractal media

Research output: Contribution to journalArticlepeer-review


An extension and generalization of thermomechanics with internal variables and thermoelasticity to fractal porous media is outlined. First, a field form of the second law of thermodynamics is derived. In conradistinction to the conventional Clausius-Duhem inequality, it involves generalized rates of deformation and internal variables. Upon introducing a dissipation function and postulating the thermodynamic orthogonality on any length-scale, constitutive laws of elastic-dissipative fractal media naturally involving generalized derivatives of strain and stress can then be derived. With a focus on thermoelasticity, a new form of Duhamel's differential equation of heat conduction is derived.

Original languageEnglish (US)
Pages (from-to)889-896
Number of pages8
JournalJournal of Thermal Stresses
Issue number9-10
StatePublished - Sep 2007


  • Fractals
  • Heat conduction
  • Random media
  • Thermoelasticity
  • Thermomechanics

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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