On the Applicability of the Relations of the Cubic Timoshenko-Type Theory of Shells to the Study of the Postcritical Behavior of Rods

被引：0

作者：

I. Yu. Babich

N. B. Zhukova

N. P. Semenyuk

机构：

[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics

来源：

International Applied Mechanics | 2001年 / 37卷

关键词：

Exact Solution; Asymptotic Theory; Nonlinear Theory; Postcritical Behavior; Supercritical Behavior;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The question of whether the nonlinear Timoshenko-type theory of shells can be applied to the study of the initial postcritical behavior of a rod under compression is considered. The Koiter asymptotic theory in the Budyanskii form is used. The exact solution of the problem is obtained and a formula for the coefficient of postcritical behavior allowing for the effect of lateral-shear strains is derived. It is shown that the expressions (specified to within cubic terms) for lateral-shear strains and curvature permit us to use the nonlinear theory of shells to analyze the initial supercritical behavior of rods

引用

页码：99 / 106

页数：7

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