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A multiscale approach for the micropolar continuum model. (English) Zbl 1107.74004
Summary: We propose a method to derive governing equations and elastic-plastic constitutive relations for a micropolar continuum model. Averaging procedures operate 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. Finally, we present an application to a simple granular material model.

MSC:
74A35 Polar materials
74A20 Theory of constitutive functions in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
76E20 Stability and instability of geophysical and astrophysical flows
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