Mindlin板几何非线性分析的附加内部剪应变法<sup>*</sup>

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Mindlin板几何非线性分析的附加内部剪应变法^*

基金项目: * 国家教委优秀教师基金和博士点基金

摘要: 本文在几何非线性分析的Mindlin板元中引入单元附加内部剪应变,有效地解决了薄板情况下的剪切自锁问题。文中导出了相应的能量相容条件,给出了有限元非线性列式的全过程及有关簿板及中厚板大挠度问题的数值结果。
- 内部剪应变 /
- 几何非线性 /
- 剪切自锁 /
- 相容条件
Abstract: An approach of the incompatible elements with additional internal shear strain is suggested and applied to geometrically nonlinear analysis of Mindlin plate bending problem, It provides a quite covenient way to avoid the shear locking troubles. An energy consistency condition for this kind of C⁰ elements is offered.The nonlinear element formulations and some numerical results are presented.
- internal shear strain /
- geometrically nonlinear /
- shear locking /
- consistency condition

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