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.
A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions / Barchiesi, M.; Lazzaroni, Giuliano; Zeppieri, C. I.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 48:2(2016), pp. 1178-1209. [10.1137/15M1007343]
A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions
2016-01-01
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.| File | Dimensione | Formato | |
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