Torsion Effects in Elastic Composites with High Contrast
- 1 January 2010
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 41 (6), 2514-2553
- https://doi.org/10.1137/07069362x
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 $\varepsilon$. We assume also that the Lamé coefficients take possibly high values in a periodical set of disconnected inclusions and take values of the order $\varepsilon^2$ elsewhere. In the fibered case, torsional vibrations take place at an infinitesimal scale and give rise to nonlocal effects.
Keywords
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