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表面应力引起的弹性薄膜形状分叉

闫琨 何陵辉 刘人怀

闫琨, 何陵辉, 刘人怀. 表面应力引起的弹性薄膜形状分叉[J]. 应用数学和力学, 2003, 24(10): 1012-1016.
引用本文: 闫琨, 何陵辉, 刘人怀. 表面应力引起的弹性薄膜形状分叉[J]. 应用数学和力学, 2003, 24(10): 1012-1016.
YAN Kun, HE Ling-hui, LIU Ren-huai. Shape Bifurcation of an Elastic Wafer Due to Surface Stress[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1012-1016.
Citation: YAN Kun, HE Ling-hui, LIU Ren-huai. Shape Bifurcation of an Elastic Wafer Due to Surface Stress[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1012-1016.

表面应力引起的弹性薄膜形状分叉

详细信息
    作者简介:

    闫琨(1979- ),女,湖北人,硕士研究生(E-mail:kyan@mail.ustc.edu.cn).

  • 中图分类号: O344.3

Shape Bifurcation of an Elastic Wafer Due to Surface Stress

  • 摘要: 此工作致力于无约束各向同性弹性薄膜在表面应力发生变化时几何非线性变形分析。基于能量的考虑,导出了曲率与表面应力变化量的关系。与已有线弹性分析结果的显著区别是,当薄膜很薄而上下表面应力差足够大时,薄膜曲率的解不再唯一,而会发生分叉。
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出版历程
  • 收稿日期:  2002-08-05
  • 修回日期:  2003-05-13
  • 刊出日期:  2003-10-15

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