论文信息 - Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects

Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects

Abstract In a cylindrical domain Ω of R 3 , we establish an homogenization result for a boundary value problem of elasticity and for the associated vibration problem. We assume that the data depend in a periodic way on a small parameter e . We assume also that the data take high values on a subset T e of fibers of Ω such that lim e →0 meas( T e )=0. We obtain non-local effective laws deduced from a coupled system of partial differential equations; the evolution problem brings to the fore memory effects.

Isabelle Gruais | Michel Bellieud | I. Gruais | Michel Bellieud

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