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.
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 C ̄0 elements is offered.The nonlinear element formulations and some numerical results are presented.
出处
《应用数学和力学》
CSCD
北大核心
1994年第6期479-488,共10页
Applied Mathematics and Mechanics
基金
国家教委优秀教师基金和博士点基金
关键词
内部剪应变
剪切自锁
MINDLIN板
板
internal shear strain,geometrically nonlinear,shear locking,consist-ency condition