Thin-walled Beams: A Derivation of Vlassov Theory via Γ-Convergence

被引：0

作者：

Lorenzo Freddi

Antonino Morassi

Roberto Paroni

机构：

[1] Università di Udine,Dipartimento di Matematica e Informatica

[2] Università di Udine,Dipartimento di Georisorse e Territorio

[3] Università degli Studi di Sassari,Dipartimento di Architettura e Pianificazione

来源：

Journal of Elasticity | 2007年 / 86卷

关键词：

thin-walled cross-section beams; linear elasticity; Γ-convergence; dimension reduction; 74K20; 74B10; 49J45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the asymptotic analysis of the three-dimensional problem for a linearly elastic cantilever having an open cross-section which is the union of rectangles with sides of order ε and ε2, as ε goes to zero. Under suitable assumptions on the given loads and for homogeneous and isotropic material, we show that the three-dimensional problem Γ-converges to the classical one-dimensional Vlassov model for thin-walled beams.

引用

页码：263 / 296

页数：33

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