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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2012

A notion of capacity related to elasticity. Applications to homogenization.

Michel Bellieud
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Résumé

We study a notion of capacity related to elasticity which proves convenient to analyze the concentrations of strain energy caused by the rigid displacements of some in nitesimal parts of an elastic body in two or three dimensions. By way of application, we investigate the behavior of solutions to initial boundary value problems describing vibrations of periodic elastic composites with rapidly varying elastic properties. More speci cally, we analyze a two-phase medium whereby a set of heavy sti tiny particles is embedded in a softer matrix. This task is set in the context of linearized elasticity.
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Dates et versions

hal-00660476 , version 1 (16-01-2012)

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Michel Bellieud. A notion of capacity related to elasticity. Applications to homogenization.. Archive for Rational Mechanics and Analysis, 2012, 203 (1), pp.137-187. ⟨10.1007/s00205-011-0448-5⟩. ⟨hal-00660476⟩
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