An analytical procedure to determine constitutive coefficients of a mixture of two linear elastic solids

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Abstract

In this paper, we study the coefficients of constitutive equations of a binary mixture of elastic solids and give an analytical approach to determine them. Assuming a material of two-phase elastic composite with randomly distributed elastic spheres is equivalent to a mixture of two elastic solids, we find the values of unknown coefficients by making use of Boussinesq problem. Furthermore, a mean displacement vector definition is also given.

Original languageEnglish
Pages (from-to)805-817
Number of pages13
JournalInternational Journal of Solids and Structures
Volume42
Issue number3-4
DOIs
Publication statusPublished - Feb 2005

Keywords

  • Boussinesq problem
  • Composite material
  • Galerkin vector
  • Mean displacement vector
  • Mixture

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