A bridging mechanism in the homogenisation of brittle composites with soft inclusions
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
SISSA
Abstract
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.
Description
Keywords
Γ-convergence, Free-discontinuity problems, fracture mechanics, multiscale analysis, homogenisation