NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION - PART II

被引：16

作者：

Freddi, Lorenzo ^{[1
]}

Mora, Maria Giovanna ^{[2
]}

Paroni, Roberto ^{[3
]}

机构：

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

[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

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

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2013年 / 23卷 / 04期

关键词：

Thin-walled cross-section beams; nonlinear elasticity; Gamma-convergence; BENDING-TORSION THEORY; GAMMA-CONVERGENCE; 3-DIMENSIONAL ELASTICITY; INEXTENSIBLE RODS; CURVED RODS; DERIVATION; ENERGY; MODELS; LIMIT;

D O I：

10.1142/S0218202512500595

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we report the second part of our results concerning the rigorous derivation of a hierarchy of one-dimensional models for thin-walled beams with a rectangular cross-section. Denoting by h and delta(h) << h the length of the sides of the cross-section of the beam, we analyze the limit behavior of a nonlinear elastic energy which scales as epsilon(2)(h) when epsilon(h)/delta(h) -> 0.

引用

页码：743 / 775

页数：33

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