## 留言板

 引用本文: 狄生林, 吴长春, 宋启根. 中厚及薄板杂交模型的优化列式*[J]. 应用数学和力学, 1990, 11(2): 141-148.
Di Sheng-lin, Wu Chang-chun, Song Qi-gen. Optimizing Formulation of Hybrid Model for Thin and Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1990, 11(2): 141-148.
 Citation: Di Sheng-lin, Wu Chang-chun, Song Qi-gen. Optimizing Formulation of Hybrid Model for Thin and Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1990, 11(2): 141-148.

## Optimizing Formulation of Hybrid Model for Thin and Moderately Thick Plates

• 摘要: 文章把杂交元的优化设计原理应用于中厚及薄板问题,导出新的杂交应力4节点20自由度板弯曲单元.该元对各种厚度、形状板的通用性,收敛性以及对极薄板分析的适应性也一并作了考察和讨论.
•  [1] Pian,T.H.H.and D.P.Chen,Alternative ways for formulation of hybrid stress elements,Int.J.Num.Meth.Eng,18(1982),1679-1684. [2] Pian,T.H.H.,D.P.Chen and David Kang,A new formulation of hybrid/mixed finite element.Computers and Structures,16(1983),81-87. [3] Pian,T.H.H.and K.Sumihara,Rational approach for assumed stress finite elements,Int.J.Num.Meth.Lng.,20(1984).1685-1695. [4] 吴长春、狄生林、黄茂光,杂交元的优化设计,科学通报,15(1986). [5] 吴长春、狄生林、卞学错,轴对称杂交应力元的优化设计,航空学报,8,9(1987). [6] 胡海昌,《弹性力学变分原理及其应用》,科学出版社(1981). [7] Wu Chang-chun.Some problems of plate bending hybrid model with shear effect.Int.J.Num,Meth.Eng.,18(1982),755-764. [8] Zienkiewicz,O.C.,et al.,Reduced integration technique in general analysis of plates and shells,Int.J.Num.Meth.Eng.,3(1971),575-586. [9] Crisfield.M.A.,A quadratic Mindlin element using shear constraints,Computers and Structures,18(1984),833-852. [10] Spilker.R.L.,et al.,The hybrid stress model for thin plates,Int.J.Num.Meth.Eng.,15(1980),1239-1260. [11] Pian,T.H.H.and Wu Chang-chun.Recent advances in hybrid stress finite element.Int.J.Num.Meth.Eng.,26(1988),2331-2343. [12] 吴长春,离散系统的非协调原理及多变量方法,杂交元的优化理论与实践,中国科学技术大学博士论文(1987,5).

##### 计量
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##### 出版历程
• 收稿日期:  1988-07-30
• 刊出日期:  1990-02-15

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