Nonlinear thin-walled beams with a rectangular cross-section - Part II

Nonlinear thin-walled beams with a rectangular cross-section - Part II
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具有矩形横截面的非线性薄壁梁 - 第二部分

DOI:
10.1142/s0218202512500595
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发表时间:
2012
影响因子:
3.5
通讯作者:
R. Paroni
R. Paroni
中科院分区:
数学1区
文献类型:
--
作者:
L. Freddi;M. G. Mora;R. Paroni

文献摘要

被引文献

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在本文中,我们报告了我们结果的第二部分,涉及矩形横截面薄壁梁一维模型层次的严格推导。用h和δh表示梁横截面的边长,我们分析了非线性弹性能量的极限行为,其标度为Δ h/δh → 0。
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 δh ≪ 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 when ϵh/δh → 0.