On the cross section of minimum stress concentration in the Saint-Venant theory of torsion
On the cross section of minimum stress concentration in the Saint-Venant theory of torsion
复制标题
圣维南扭转理论中最小应力集中截面的研究
DOI：
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复制
发表时间：
1984
期刊：
影响因子：
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通讯作者：
L. Wheeler
中科院分区：
文献类型：
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作者：
L. Payne;L. Wheeler
本文导出了简单连通截面圆柱体扭转时最大应力的下限。这个界限用所施加的扭矩和横截面积来表示，它是等周的，因为当横截面是圆形时，它与最大应力一致。它证实了这样一个概念，即给定所施加的扭矩和横截面面积，当截面为圆形时，最大应力最小。相关的等周上限推导出的最小值的应力在边界点。
A lower bound is derived for the maximum stress in the torsion of cylindrical solids of simply-connected cross section. This bound, which is expressed in terms of the applied torque and the cross-sectional area, is isoperimetric in that it coincides with the maximum stress when the cross section is circular. It confirms the notion that given the applied torque and the area of the cross section, the least maximum stress occurs when the section is circular. Related isoperimetric upper bounds are derived for the minimum value of the stress at boundary points.