基于Cosserat理论的小孔应力集中问题的有限元分析

Finite Element Analysis of Stress Concentration Problem based on Cosserat Theory

近来由于细观力学的发展和对材料尺度效应的研究使得Cosserat理论受到了关注。本文给出了基于Cosserat理论的有限元八节点等参元格式,数值计算了单向均匀拉伸小孔应力集中问题,研究了Cosserat理论中有关参数对应力集中因子和尺度效应的影响。计算结果与理论解十分吻合。这表明,基于Cosserat理论的平面八节点等参元适用于求解基于Cosserat理论的平面问题。

With the progress of mesomechanics and the research of size effect, Cosserat theory is focused on by more and more researchers. Based on Cosserat theory, the 8 nodes rectangular isoparametric element was presented. The problem on the stress concentration around circular hole in a field of uniform tension was solved by numerical toothed. The impact of Cosserat parameter on the stress concentration factor and size effect was studied. The Numerical result is consistent with the result of Cosserat theory. It shows that the Cosserat 8 nodes rectangular isoparametric element based on Cosserat theory is able to analysis Cosserat plane problem.