Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling

Naoki Takano, M. Zako, F. Kubo, K. Kimura

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

Multi-scale analysis using the asymptotic homogenization method is becoming a matter of concern for microstructural design and analysis of advanced heterogeneous materials. One of the problems is the lack of the experimental verification of the multi-scale analysis. Hence, it is applied to the porous alumina with needle-like pores to compare the predicted homogenized properties with the experimental result. The complex and random microstructure was modeled three-dimensionally with the help of the digital image-based modeling technique. An appropriate size of the unit microstructure model was investigated. The predicted elastic properties agreed quite well with the measured values. Next, a four-point bending test was simulated and finally the microscopic stress distribution was predicted. However, it was very hard to evaluate the calculated microscopic stress quantitatively. Therefore, a numerical algorithm to help understanding the three-dimensional and complex stress distribution in the random porous microstructure is proposed. An original histogram display of the stress distribution is shown to be effective to evaluate the stress concentration in the porous materials.

Original languageEnglish
Pages (from-to)1225-1242
Number of pages18
JournalInternational Journal of Solids and Structures
Volume40
Issue number5
DOIs
Publication statusPublished - 2003 Mar
Externally publishedYes

Fingerprint

Homogenization method
Homogenization Method
stress analysis
Stress Analysis
Stress Distribution
homogenizing
Stress analysis
Digital Image
stress distribution
Stress concentration
Microstructure
Multiscale Analysis
ceramics
microstructure
evaluation
Evaluation
Modeling
Heterogeneous Materials
Porous Materials
Alumina

Keywords

  • Ceramics
  • Digital image-based modeling
  • Homogenization
  • Microstructure
  • Multi-scale analysis
  • Porous material
  • Stress analysis

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling. / Takano, Naoki; Zako, M.; Kubo, F.; Kimura, K.

In: International Journal of Solids and Structures, Vol. 40, No. 5, 03.2003, p. 1225-1242.

Research output: Contribution to journalArticle

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