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TORSION EFFECTS IN ELASTIC COMPOSITES WITH HIGH CONTRAST
"... Abstract. 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 ε. We assume also that the Lamé coefficients take possibly high values in a periodical set of disconnected inclusions and ..."
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Abstract. 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 ε. We assume also that the Lamé coefficients take possibly high values in a periodical set of disconnected inclusions and take values of the order ε 2 elsewhere. In the fibered case, torsional vibrations take place at an infinitesimal scale and give rise to nonlocal effects.