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

共 50 条

[31] Buckling analysis of thin-walled curved beams
Wang, JM
Liang, LF
Chen, DM
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 691 - 695
[32] ON THE MECHANICS OF THIN-WALLED LAMINATED COMPOSITE BEAMS
BARBERO, EJ
LOPEZANIDO, R
DAVALOS, JF
JOURNAL OF COMPOSITE MATERIALS, 1993, 27 (08) : 806 - 829
[33] TANGENT THEORY OF THIN-WALLED BEAMS AFTER ANY LARGE DISPLACEMENTS.
Al, Masahiro
Nishino, Fumio
Doboku Gakkai Rombun-Hokokushu/Proceedings of the Japan Society of Civil Engineers, 1988, 9 (04): : 151 - 160
[34] Higher-order Vlasov torsion theory for thin-walled box beams
Choi, Soomin
Kim, Yoon Young
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 195
[35] Torsional stress concentration in thin-walled beams
Mentrasti, Lando, 1882, (115):
[36] CALCULATIONS FOR THIN-WALLED BEAMS IN BENDING WITH TORSION
ZARIFYAN, AZ
SHMATKOV, VA
RUSSIAN ENGINEERING JOURNAL-USSR, 1966, 46 (08): : 8 - &
[37] Sensitivity analysis of thin-walled beams and frames
Kreja, I
Mikulski, T
Szymczak, C
8TH INTERNATIONAL CONFERENCE ON MODERN BUILDING MATERIALS, STRUCTURES AND TECHNIQUES, 2004, : 796 - +
[38] Higher-order shear deformation theory for thin-walled composite beams
Suresh, JK
Nagaraj, VT
JOURNAL OF AIRCRAFT, 1996, 33 (05): : 978 - 986
[39] Collapse behaviour of thin-walled orthotropic beams
Kotelko, M
LIGHT-WEIGHT STEEL AND ALUMINIUM STRUCTURES, 1999, : 99 - 106
[40] TORSION AND FLEXURE OF CLOSED THIN-WALLED BEAMS
NITZSCHE, RN
MILLER, RE
JOURNAL OF THE ENGINEERING MECHANICS DIVISION-ASCE, 1976, 102 (01): : 189 - 193

← 1 2 3 4 5 →