Thermal expansion of isotropic multiphase composites and polycrystals

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticlepeer-review

75 Scopus citations


Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery-Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal expansion coefficient of a polycrystal. All of our results can be readily applied to the poroelasticity problem. Generalizations of the results to treat anisotropic composites comprised of anisotropic phases are discussed.

Original languageEnglish (US)
Pages (from-to)1223-1252
Number of pages30
JournalJournal of the Mechanics and Physics of Solids
Issue number7
StatePublished - Jul 1997

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


  • A. Thermomechanical processes
  • B. Inhomogeneous material
  • B. Polycrystalline material
  • B. Thermal expansion
  • C. Variational calculus


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