| 摘要: |
| 摘要：利用应力应变关系和变形协调方程，建立了圆薄膜沿周边径向均匀张拉一定位移后的基本
方程．通过引入无量纲参数进行化简并得到了其解析解，进而得出了圆薄膜内的应力分布公式，并
利用有限元模型验证了其正确性．结果表明：沿圆薄膜外边界均匀张拉一定位移后，膜内径向应力
与环向应力相等，应力分布均匀且与张拉位移量成正比． |
| 关键词: 关键词：圆薄膜 预张力 径向张拉 解析解 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Stress distribution of circular membranes stretched radially at the outer edge |
|
wU Jian—liang
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| Abstract: |
| Abstract：Based on the stress—strain relationship and the deformation compatibility conditions，the basic equation
of the circular membranes stretched the outer edge radially is established．The analytic solution is given through in—
troducing the non—dimensional parameters to simplify the basic equations．The formulae of the stress distribution
are obtained by theoretical derivation，and the conclusion shows that the radial stress and the circumferential stress
is equal，and the stress values are the same at different locations，and the stress values al"e proportioned to the va1．
He of the radial displacement．The correctness of the analytic solution is certificated by the way of finite element
simulation． |
| Key words: Key words：circular membranes pre—stretched stress radial stretch analytic solution |
