Thermal expansion of isotropic multiphase composites and polycrystals

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticle

60 Scopus citations

Abstract

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
Volume45
Issue number7
DOIs
StatePublished - Jul 1997

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

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

Fingerprint Dive into the research topics of 'Thermal expansion of isotropic multiphase composites and polycrystals'. Together they form a unique fingerprint.

  • Cite this