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.
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页码：45 / 66
页数：22
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