Global-local constitutive modeling of composite materials by the homogenization method

Kenjiro Terada, Noboru Kikuchi

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


This paper discusses modeling issues in the constitutive relation of a composite material in conjunction with the asymptotic homogenization method. Since the constitutive relations for basic materials of the composite material is given in the microscopic level, the identification of micromechanics and the geometric modeling of the microstructure directly affects the overall mechanical behavior of the structural components. Therefore the modeling in the microscopic level is essential in the analysis of composite materials especially for nonlinear cases. Several numerical examples show that the overall mechanical behavior depends on the constitutive relations defined in the microscopic level as well as the geometry of the microstructure. The FEM-based asymptotic homogenization method and Digital Image-Based (DIB) modeling are utilized to simulate such a global-local nature of the mechanical responses.

Original languageEnglish
Pages (from-to)73-80
Number of pages8
JournalMaterials Science Research International
Issue number2
Publication statusPublished - 1996 Jun 1
Externally publishedYes


  • Composite materials
  • Constitutive modeling
  • Geometric modeling
  • Homogenization method
  • Nonlinear problems

ASJC Scopus subject areas

  • Materials Science(all)


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