複合材の均質化法解析のためのディジタル・イメージを利用した微視構造モデリング手法

概要

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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 (2 D) images into a 3 D 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.
一般社団法人日本機械学会の論文
1998-01-25