Microstructural modeling technique for homogenization analysis using digital images

Kenjiro Terada, Noboru Kikuchi

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A systematic modeling technique of utilizing digitized images for micromechanical analysis in the asymptotic homogenization method is presented. By use of digital images, irregular material configurations are accurately modeled for the material pre/post-processing and therefore the specific microstructural geometry is taken into account in evaluation of the micro and macroscopic variables. Each picture element (pixel) in the images is identified with a regular and fixed-size finite element, and a three-dimensional (3 D) unit cell model can be generated by stacking of two-dimensional (2D) images into a 3D image consisting of volume picture elements (voxels). After the concrete modeling procedure is presented, its applicability to the analysis and advantages from a computational point of view are discussed. With a very primitive unit cell model that is generated using digital images, the numerical accuracy in homogenization analyses is investigated and some practical aspects of its usage are identified. Furthermore, several applications are presented in order to show the rigorousness and the flexibility of this modeling technique in terms of the pixel (or voxel) information and image manipulations.

Original languageEnglish
Pages (from-to)170-177
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number617
Publication statusPublished - 1998


  • Composite materials
  • Digital images
  • Finite element method
  • Homogenization method
  • Modeling methods
  • Numerical analysis


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