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- W4242772021 abstract "This paper is the second of the two announced in our Note (Sili A, [16]). It generalizes to the linearized system of elasticity the results of our previous work (Sili, 2000 [15]) on the heat equation. We study the asymptotic analysis, as ϵ tends to zero, of the solution uϵ of the linearized system of elasticity posed on a composite elastic cylindrical domain Ωϵ with radius ϵ and height L. The heterogeneities of the material are assumed to be periodic with a period ϵ along the cylinder axis and with a period ϵ2 along the sections of the cylinder. It is shown that the limit problem is a system in which appear two entities: the first one (u, v, w) corresponds to the reduction of dimension 3d–1d while the second one (û, v̂, ŵ) takes into account the homogenization process. Moreover, a corrector result is given. Copyright © 2002 John Wiley & Sons, Ltd." @default.
- W4242772021 created "2022-05-12" @default.
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- W4242772021 date "2002-03-10" @default.
- W4242772021 modified "2023-09-23" @default.
- W4242772021 title "Homogenization of the linearized system of elasticity in anisotropic heterogeneous thin cylinders" @default.
- W4242772021 doi "https://doi.org/10.1002/mma.264.abs" @default.
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