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
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页码：263 / 296
页数：33
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