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A bridging mechanism in the homogenisation of brittle composites with soft inclusions

TitleA bridging mechanism in the homogenisation of brittle composites with soft inclusions
Publication TypePreprint
2015
AuthorsBarchiesi, M, Lazzaroni, G, Zeppieri, CI
Document NumberSISSA;02/2015/MATE
InstitutionSISSA

We provide a homogenisation result for the energy-functional associated with a purely brittle composite whose microstructure is characterised by soft periodic inclusions embedded in a stiffer matrix. We show that the two constituents as above can be suitably arranged on a microscopic scale ε to obtain, in the limit as ε tends to zero, a homogeneous macroscopic energy-functional explicitly depending on the opening of the crack.

http://urania.sissa.it/xmlui/handle/1963/7492

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