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非均布表面应力作用下薄板变形问题的求解
引用本文:张文兵,李晖凌.非均布表面应力作用下薄板变形问题的求解[J].力学与实践,2006,28(4):32-35.
作者姓名:张文兵  李晖凌
作者单位:中科院力学研究所非线性力学国家重点实验室,北京,100080
摘    要:给出非均布表面应力作用下弹性薄板挠曲变形问题的控制方程及边界条件,通过与热应力问题进行物理比拟,对这一问题进行了求解,并采用这一方法对实验中观测到的局部弯曲现象进行了理论解释.

关 键 词:非均布表面应力  弹性薄板  热应力  物理比拟  局部弯曲
收稿时间:2005-07-25
修稿时间:2006-03-14

A SOLUTION FOR DEFLECTIONS OF THIN PLATES INDUCED BY NON UNIFORM SURFACE STRESSES
ZHANG Wenbin,LI Huiling.A SOLUTION FOR DEFLECTIONS OF THIN PLATES INDUCED BY NON UNIFORM SURFACE STRESSES[J].Mechanics and Engineering,2006,28(4):32-35.
Authors:ZHANG Wenbin  LI Huiling
Institution:LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
Abstract:The governing equations for deflections of elastic thin-plates induced by non-uniform surface stresses together with the boundary conditions are presented. By a physical analogue, the solution of the problem is equivalent to that for deflections of elastic plate induced by thermal stresses. Utilizing this method, the phenomena of local bending observed in experiments can theoretically be explained.
Keywords:surface stresses with heterogenous distribution  elastic thin plates  thermal stress  physical analogue  local bending
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