Open Access

ARTICLE

A multiscale approach for the micropolar continuum model

by Hiroshi Kadowaki¹, Wing Kam Liu²

1 Bridgestone Corporation, Tire Research Department, 3-1-1 Ogawahigashi-cho, Kodaira-shi, Tokyo 187-8531, Japan, kadowah@bridgestone.co.jp
2 Corresponding Author, Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3111, U.S.A, w-liu@northwestern.edu

Computer Modeling in Engineering & Sciences 2005, 7(3), 269-282. https://doi.org/10.3970/cmes.2005.007.269

Abstract

A method to derive governing equations and elastic-plastic constitutive relations for the micropolar continuum model is proposed. Averaging procedures are operated over a surrounding sub-domain for each material point to bridge a discrete microstructure to a macro continuum model. Material parameters are determined by these procedures. The size of the sub-domain represents the material intrinsic length scale, and it is passed into the macroscopic governing equation so that the numerical solution can be regularized for analyses of failure phenomena. An application to a simple granular material model is presented.

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Keywords

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