## 留言板

Mindlin板几何非线性分析的附加内部剪应变法*

 引用本文: 焦兆平, 吴长春, 卞学. Mindlin板几何非线性分析的附加内部剪应变法*[J]. 应用数学和力学, 1994, 15(6): 479-488.
Jiao Zhao-ping, Wu Chang-chun, T. H. H. Pian. Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain[J]. Applied Mathematics and Mechanics, 1994, 15(6): 479-488.
 Citation: Jiao Zhao-ping, Wu Chang-chun, T. H. H. Pian. Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain[J]. Applied Mathematics and Mechanics, 1994, 15(6): 479-488.

## Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain

• 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。
•  [1] Hughes,T,J.R.,R.L.Taplor and S,Kanonukulchai,A simple and efficient finite element for bending,Int.J.Num,Meth,Eng.,11(1977),1529-1543. [2] Lee,S.W.and T.H,H.Pian,Improvement of plate and shell finite element by miaed formulations.AIAA.J.16 (1978),29-34. [3] Hinton.E,and H.C.Huang,A family of quadrilateral Mindlin plate elements with substitute shear strain fields,Computers & Structures 23(1986),409-431. [4] Papadopoulo,P.and R.L.Taylor,A triangular element based on Reissner-Mindlin plate theory,Int.J.Num,Meth.Eng.,30(1990),1029-1049 [5] 钱伟长,《变分法及有限元》.科学出版社(1980). [6] Wu Chang-chun Huang Nac-guang and T.H.H.Piar,Consistency condition.

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##### 出版历程
• 收稿日期:  1993-07-20
• 刊出日期:  1994-06-15

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