LINEAR AND GEOMETRICALLY NONLINEAR ANALYSIS WITH 4-NODE PLANE QUASI-CONFORMING ELEMENT WITH INTERNAL PARAMETERS  

作　　者：Changsheng Wang Xiangkui Zhang Ping Hu Zhaohui Qi 

机构地区：[1]School of Automotive Engineering,Dalian University of Technology [2]State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology [3]Department of Engineering Mechanics,Dalian University of Technology

出　　处：《Acta Mechanica Solida Sinica》2015年第6期668-681,共14页固体力学学报（英文版）

基　　金：Project supported by the Fundamental Research Funds for the Central Universities(DUT14RC(3)092);the Key Project of the NSFC(Nos.11272075 and 11472071);the‘863’Project of China(No.2009AA04Z101);the‘973’National Basic Research Project of China(No.2010CB832700)

摘　　要：A linear 4-node quadrilateral quasi-conforming plane element with internal parameters is proposed. The element preserves advantages of the quasi-conforming technique, including an explicit stiffness matrix, which can be applied to nonlinear problems. The weak patch test guarantees the convergence of the element. Then the linear element is extended to the geometri- cally nonlinear analysis in the framework of Total Lagrangian （TL） formulation. The numerical tests indicate that the present element is accurate and insensitive to mesh distortion.A linear 4-node quadrilateral quasi-conforming plane element with internal parameters is proposed. The element preserves advantages of the quasi-conforming technique, including an explicit stiffness matrix, which can be applied to nonlinear problems. The weak patch test guarantees the convergence of the element. Then the linear element is extended to the geometri- cally nonlinear analysis in the framework of Total Lagrangian （TL） formulation. The numerical tests indicate that the present element is accurate and insensitive to mesh distortion.

关 键 词：quasi-conforming internal parameters plane element geometrically nonlinear 

分 类 号：O347[理学—固体力学]