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

• Publish Date: 1990-02-15
• A 20-DOF hybrid stress element based upon Mindlin plate theory is developed using the optimization design method for thin and moderately thick plates.Numerical tests consist of the convergency and performance to the plates with arbitrary thickness and shape and of the ultimate thin plate problems.
•  [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).

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