Towards stochastic continuum damage mechanics

Anatoliy Malyarenko, Martin Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review


In classical continuum damage mechanics, the distribution of cracks over differently oriented planes is an even deterministic function defined on the unit sphere. The coefficients of its Fourier expansion are completely symmetric and completely traceless tensors of even rank, the so-called fabric or damage tensors. We propose a stochastic generalisation of the above described mathematical model, where damage tensors are mean-square continuous wide-sense homogeneous and isotropic random fields.

Original languageEnglish (US)
Pages (from-to)202-210
Number of pages9
JournalInternational Journal of Solids and Structures
StatePublished - Feb 2020


  • Damage mechanics
  • Damage tensor
  • Fabric tensor
  • Tensor random field

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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