Scale-Dependent Homogenization of Random Hyperbolic Thermoelastic Solids

Martin Ostoja-Starzewski, Luis Costa, Shivakumar I. Ranganathan

Research output: Contribution to journalArticlepeer-review


The scale-dependent homogenization is applied to a hyperbolic thermoelastic material with two relaxation times, where conductivity and stiffness are wide-sense stationary ergodic random fields. The previously established scaling functions for the Fourier-type conductivity and linear elastic responses are used to describe the trends to scale from the mesoscale statistical volume element level (SVE) to the (representative volume element) RVE level of a deterministic homogeneous continuum. In the case of white-noise type random fields, this finite-size scaling can be quantified via universally appearing stretched exponentials for conductivity and elasticity problems.

Original languageEnglish (US)
Pages (from-to)243-250
Number of pages8
JournalJournal of Elasticity
Issue number2
StatePublished - Feb 2014


  • Finite-size scaling
  • Homogenization
  • Hyperbolic thermoelasticity
  • Random fields
  • Relaxation times
  • Representative volume element
  • Statistical volume element
  • Stretched exponentials

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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