A Random Field Formulation of Hooke’s Law in All Elasticity Classes

Anatoliy Malyarenko, Martin Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review


For each of the 8 symmetry classes of elastic materials, we consider a homogeneous random field taking values in the fixed point set V of the corresponding class, that is isotropic with respect to the natural orthogonal representation of a group lying between the isotropy group of the class and its normaliser. We find the general form of the correlation tensors of orders 1 and 2 of such a field, and the field’s spectral expansion.

Original languageEnglish (US)
Pages (from-to)269-302
Number of pages34
JournalJournal of Elasticity
Issue number2
StatePublished - Apr 1 2017


  • Elasticity class
  • Random field
  • Spectral expansion

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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