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Patch test function for axisymmetric element of conventional and couple stress theory |
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| Authors: | WanJi Chen Jie Zhao JinZhi Wang Bian Ji |
| Affiliation: | (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) Institute of Dalian Nationalities, College of Science, Dalian, 116022, China |
| Abstract: | 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. Supported by the National Natural Science Foundation of China (Grant No. 10672032) |
| Keywords: | axisymmetric element non-homogeneous differential equations couple stress theory test function of patch test |
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