Patch test function for axisymmetric element of conventional and couple stress theory  

作　　者：CHEN WanJi ZHAO Jie WANG JinZhi JI Bian 

机构地区：[1]Institute for Structural Analysis of Aerocraft,Shenyang Institute of Aeronautical Engineering,Shenyang 110136,China [2]State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023,China [3]College of Science,Institute of Dalian Nationalities,Dalian 116022,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2009年第8期1257-1261,共5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 No. 10672032)

摘　　要：The enhanced patch test proposed by Chen W J(2006) can be used to assess the convergence of the problem with non-homogeneous differential equations.Based on this theory,we establish the patch test function for axisymmetric elements of conventional and couple stress theories,and reach an important conclusion that the patch test function for axisymmetric elements cannot contain non-zero constant shear.The enhanced patch test proposed by Chen W J (2006) can be used to assess the convergence of the problem with non-homogeneous differential equations. Based on this theory, we establish the patch test function for axisymmetric elements of conventional and couple stress theories, and reach an important conclusion that the patch test function for axisymmetric elements cannot contain non-zero constant shear.

关 键 词：AXISYMMETRIC ELEMENT NON-HOMOGENEOUS differential equations COUPLE stress theory TEST FUNCTION of patch TEST 

分 类 号：O344[理学—固体力学]