Formulation of homogenization method applied to large deformation problem for composite materials

Naoki Takano, Y. Ohnishi, M. Zako, K. Nishiyabu

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

In order to analyze the mechanical behaviors of composite materials under large deformation, the formulation of the homogenization method is described. In this formulation, assuming that the microstructures in a local region of the global structure are deformed uniformly and that consequently the microscopic periodicity remains in the local region under large deformation, the microscopic deformation is precisely defined by the perturbed displacement and product of macroscopic displacement gradient and microscopic coordinates. Finally, microscopic and macroscopic equations are obtained. The above mentioned assumption of the periodicity of microstructures is experimentally validated. The computer program is also developed according to this formulation, and the large deformation is analyzed for the unidirectional fiber reinforced composite material and the knitted fabric composite material.

Original languageEnglish
Pages (from-to)6517-6535
Number of pages19
JournalInternational Journal of Solids and Structures
Volume37
Issue number44
Publication statusPublished - 2000 Nov
Externally publishedYes

Fingerprint

Homogenization method
Homogenization Method
Large Deformation
homogenizing
Composite Materials
formulations
Periodicity
composite materials
Formulation
Microstructure
Composite materials
periodic variations
Fiber-reinforced Composite
Mechanical Behavior
macroscopic equations
microstructure
Fiber reinforced materials
Gradient
Computer program listings
computer programs

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Formulation of homogenization method applied to large deformation problem for composite materials. / Takano, Naoki; Ohnishi, Y.; Zako, M.; Nishiyabu, K.

In: International Journal of Solids and Structures, Vol. 37, No. 44, 11.2000, p. 6517-6535.

Research output: Contribution to journalArticle

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