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：
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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
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页码：99 / 106
页数：7
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