收稿日期: 2002-05-14
修回日期: 2002-09-17
网络出版日期: 2003-03-10
基金资助
国家自然科学基金( 50172053) 资助项目
Incompatible Finite Element Analysis of Couple-Stress Problems
Received date: 2002-05-14
Revised date: 2002-09-17
Online published: 2003-03-10
肖其林 , 凌中 , 吴永礼 , 姚文慧 . 偶应力问题的非协调元分析[J]. 中国科学院大学学报, 2003 , 20(2) : 223 -231 . DOI: 10.7523/j.issn.2095-6134.2003.2.016
Deduced from the stationary condition of potential function in couple-stress elastic solids, an energy consistency principle for the incompatible element system of couple-stress theory is obtained. Based on its strong patch test form, the well-known Wilson internal parameters for two-dimensional four-node incompatible elements are improved, and a new effective incompatible finite element method for couple-stress problems is put forward. The constraint condition that the microrotations must be equal to the macrorotations is introduced by a penalty function technique. Numerical examples for the influence of couple stresses on the stress concentration around a central circular hole in a uni-axial tension or pure shear field are given. The results show that the present method has high efficiency and good accuracy.The considerably satisfying results can be obtained, even if the characteristic length is very small.
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