Stress analysis of laminated composite plate based on super mixed element

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Stress analysis of laminated composite plate based on super mixed element

LIU Yanhong, ZHANG Ying

(College of Aeronautical Engineering, CAUC, Tianjin 300300, China)

Received:2017-12-25 Revised:2018-03-04 Online:2018-08-25 Published:2018-10-25

Abstract

Abstract: For finite element methods, calculating time of element numerical integration operation takes a large proportion.According to the characteristics of laminated composite plate structure, a super mixed element is constructed based on incompatible symplectic element of 3D linear elasticity problems. Since the assembly of super mixed element is a simple addition operation which consumes less time, the most obvious advantage of super element in the form of layers is saving the time consumed by repetitive integral operation of the same elements. The reliability of super mixed element is proven by example analysis.

Key words: laminated composite plate, stress analysis, generalized partial mixed element, super mixed element

CLC Number:

O342
O343

LIU Yanhong, ZHANG Ying. Stress analysis of laminated composite plate based on super mixed element[J]. .

References

[1] HERRMANN L. Finite element bending analysis for plates[J]. J Eng Mech Div, 1967, ASCE 98: 13-26.
[2] ATLURI S N, GALLAGHER R H, ZIENKIEWICZ O C. Hybrid and Mixed Finite Element Methods[M]. New York: John Wiley & Sons, 1983.
[3] BREZZI F, FORTIN M. Mixed and Hybrid Finite Element Methods[M].New York: Springer Science & Business Media, 2012.
[4] ARNOLD D, FALK R, WINTHER R. Mixed finite element methods for linear elasticity with weakly imposed symmetry[J]. Mathematics of Computation,2007, 76: 1699-1723.
[5] ADAMS S, COCKBURN B. A mixed finite element method for elasticity in three dimensions[J]. Journal of Scientific Computing, 2005, 25: 515-521.
[6] QING GUANGHUI, MAOJUNHUI, LIU YANHONG. Generalized mixed finite element method for 3D elasticity problems[J]. Acta Mechanica Sinica, 2018, 34(2): 371-380
[7] QING GUANGHUI, MAO JUNHUI, LIU YANHONG. Highly accurate noncompaltible generalized mixed finite element method for 3D elasticity problems[J]. Journal of Mechanical of Material and Structures，2017,12(4): 505-519.
[8] QING GUANGHUI, TIAN JIA. Highly accurate symplectic element based on two variational principles[J]. Acta Mechanica Sinica, 2018, 34(1): 151-161.
[9] 钟万勰. 应用力学的辛数学方法[M]. 北京: 高等教育出版社, 2006.
[10] 唐立民, 褚致中, 邹贵平, 等. 混合状态Hamiltonian 元的半解析解和叠层板的计算[J]. 计算力学学报, 1992, 9(4): 347-360.
[11] QING GUANGHUI, QIU JIAJUN, LIU YANHONG. Modified mixed variational principle for magnetoelectroelastic solids and state-vector equation[J].AppliedMathematicsand Mechanics,2005,26(6):722-728.
[12] QING GUANGHUI, QIU JIAJUN, LIU YANHONG. A semi-analytical solution for static and dynamic analysis of plates with piezoelectric patches[J]. International Journal of Solids and Structures, 2006, 43(6):1388-1403.
[13] 田宗漱, 卞学鐄. 多变量变分原理与多变量有限元方法[M]. 北京:科学出版社, 2011.
[14] 陈万吉. 一个高精度八结点六面体单元[J]. 力学学报, 1982, 18(3):262-271.
[15] 范家让. 强厚叠层板壳的精确理论[M]. 北京: 科学出版社, 1996.