Functions for patch test in finite element analysis of the Mindlin plate and the thin cylindrical shell  

作　　者：CHEN WanJi 1,2 ,WANG JinZhi 1,3 &ZHAO Jie 1 1State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023,China 2Institute for Structural Analysis of Aerocraft,Shenyang Institute of Aeronautical Engineering,Shenyang 110136,China 3 College of Science,Institute of Dalian Nationalities,Dalian 116022,China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2009年第5期762-767,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.50479058 and 10672032)

摘　　要：Current patch test for Mindlin plate element only satisfies the zero shear deformation condition.The patch test of non-zero constant shear for Mindlin plate problem cannot be performed.For shell element, the patch test does not even exist.Based on the theory of enhanced patch test proposed by Chen W J (2006),the authors proposed the enhanced patch test function for Mindlin plate and thin cylindrical shell elements.This enhanced patch test function can be used to assess the convergence of the Mindlin plate and cylindrical thin shell elements.Current patch test for Mindlin plate element only satisfies the zero shear deformation condition. The patch test of non-zero constant shear for Mindlin plate problem cannot be performed. For shell element, the patch test does not even exist. Based on the theory of enhanced patch test proposed by Chen W J (2006), the authors proposed the enhanced patch test function for Mindlin plate and thin cylindrical shell elements. This enhanced patch test function can be used to assess the convergence of the Mindlin plate and cylindrical thin shell elements.

关 键 词：MINDLIN plate thin CYLINDRICAL SHELL FINITE element enhanced PATCH TEST TEST function 

分 类 号：TB115[理学—数学]