Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method

K. Terada, T. Ito, N. Kikuchi

Research output: Contribution to journalArticle

98 Citations (Scopus)

Abstract

The mechanical behaviors of a solid-fluid mixture are characterized by using the homogenization method which is based on the method of asymptotic expansions. According to the choice of the so-called effective parameters, the formal derivation yields two distinct systems of well-known macromechanical governing equations; one for poroelasticity and the other for viscoelasticity. The homogenized equations representing the asymptotic behaviors entail the locally defined field equations and the geometry of a repeating unit. In addition to the identities of both formulations with ones in classical mechanics, the formulation enables the evaluation of actual mechanical responses of microstructures. This distinctive feature of the homogenization method is called the localization, which must be a key capability that provides a bridge between micromechanics and macromechanics. Thus, the present developments and several numerical simulations will provide insight into a variety of engineering problems in regard to solid-fluid coupled systems.

Original languageEnglish
Pages (from-to)223-257
Number of pages35
JournalComputer Methods in Applied Mechanics and Engineering
Volume153
Issue number3-4
DOIs
Publication statusPublished - 1998 Jan 30
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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