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
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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
收藏
页码:263 / 296
页数:33
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