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Torsion effects in elastic composites with high contrast
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Torsion effects in elastic composites with high contrast

Michel Bellieud
SIAM journal on mathematical analysis, Vol.41(6), pp.2514-2553
01/01/2010

Résumé

Engineering Sciences Mechanics Mechanics of materials Physics Vibrations
We establish a homogenization result and a corrector result for a vibration problem of elasticity. We assume that the data depend in a periodic way on a small parameter Ɛ. We assume also that the Lam e coeffi cients take possibly high values in a periodical set of disconnected inclusions and take values of the order Ɛ² elsewhere. In the fi bered case, torsional vibrations take place at an infi nitesimal scale and give rise to non-local e ffects.

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