Thin-walled beams: the case of the rectangular cross-section

被引：27

作者：

Freddi, L

Morassi, A

Paroni, R

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Dipartimento Georisorse & Terr, I-33100 Udine, Italy

[3] Univ Sassari, Dipartimento Architettura & Pianificaz, I-07041 Alghero, Italy

来源：

JOURNAL OF ELASTICITY | 2004年 / 76卷 / 01期

关键词：

thin-walled cross-section beams; linear elasticity; Gamma-convergence; dimension reduction;

D O I：

10.1007/s10659-004-7193-z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Omega(epsilon) = omega(epsilon) x ( 0, l) with rectangular cross-section omega(epsilon) of sides epsilon and epsilon(2), as epsilon goes to zero. Under suitable assumptions on the given loads, we show that the three-dimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and torsion of thin-walled beams.

引用

页码：45 / 66

页数：22

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