Journal of applied mechanics
Online ISSN : 1884-832X
Print ISSN : 1345-9139
ISSN-L : 1345-9139
Multi-scale evaluation method for the strength of heterogeneous brittle materials by means of the material instability theory
Mitsuteru ASAIKenjiro TERADA
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2002 Volume 5 Pages 217-226

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Abstract
We propose a method for evaluating the macroscopic strength and toughness of heterogeneous brittle materials by numerical analyses of microstructures. The method is based on the mathematical homogenization in conjunction with the theoretical framework of material instability. The hybrid variational formulation, which allows us to approximate the displacement in each finite element independently, is adopted for discontinuous deformation of microstructures. Then, the overall collapse of microstructure informs us of the orientation of discontinuous surfaces. The performance of the method is well demonstrated by representative numerical examples.
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© by Japan Society of Civil Engineers
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