Bounds on constitutive response for a class of random material microstructures

Research output: Contribution to journalArticlepeer-review


A novel procedure, called the method of neighborhoods, for calculation of a hierarchy of upper and lower convergent bounds on constitutive response of random microstructures, is outlined. The method is presented in the setting of a regular planar network of equilateral triangles with randomness present in the constitutive constants of vertex-vertex linear viscoelastic laws. Results on linear elastic networks indicate that a very good improvement on the conventional Voigt and Reuss bounds may be achieved with rather small neighborhoods, and thus with only a modest increase of the computational effort.

Original languageEnglish (US)
Pages (from-to)163-167
Number of pages5
JournalComputers and Structures
Issue number2
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


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