Multi-Scale Finite Element Analysis for Joint Members of Heterogeneous Dissimilar Materials with Interface Crack

Naoki Takano, Masaru Zako, Yoshihiro Okuno

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In the last decade, a multi-scale computational method using the asymptotic homogenization method with the help of the finite element method has been intensively studied and applied to various advanced materials such as fiber reinforced composite materials and porous materials. It enables us to analyze the overall behaviors of structures considering the microscopic heterogeneity, where there is a large gap between the macro-scale and the micro-scale within the framework of continuum mechanics. However, no literature can be found that studied the joint or laminated members of heterogeneous dissimilar materials with interface crack. Due to the non-periodic condition at the interface and the existence of crack, the homogenized material modeling is of no use. Hence, an enhanced finite element mesh superposition method is employed to solve the two-scale problem. Two independent meshes, i. e., the global mesh and the local mesh, are used. The global mesh represents the joint or laminated members from the macroscopic viewpoint using the homogenized model. The local mesh is used to consider the heterogeneous microstructure of the material as well as the crack and superimposed onto the global mesh. The formulation, numerical accuracy and effectiveness of the proposed multi-scale method are presented in this paper.

Original languageEnglish
Pages (from-to)952-957
Number of pages6
JournalZairyo/Journal of the Society of Materials Science, Japan
Issue number8
Publication statusPublished - 2003 Aug
Externally publishedYes


  • Finite element mesh superposition method
  • Finite element method
  • Heterogeneous material
  • Homogenization method
  • Interface crack
  • Multi-scale analysis

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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