【作者】 宋德坡； 岑松； 陈晓明；

【Author】 De-Po Song, Song Cen, Xiao-Ming Chen ( School of Aerospace, Tsinghua University, Beijing 100084, China; Failure Mechanics Laboratory, Tsinghua University. Beijing 100084, China)

【机构】 清华大学航天航空学院；

【摘要】 四边形面积坐标方法是一种构造二维四边形有限元模型的新工具,为解决单元网格畸变敏感问题提供了新途径,但是这种方法还不能直接模拟曲边网格的情况。针对上述问题,本文提出了两种将四边形面积坐标单元应用于曲边情况的策略:一是按等参变换的思路,将三角形单元等参变换方法推广到四边形面积坐标单元;二是一种近似方法,直接通过调整边中结点坐标来模拟曲边情况。数值算例表明这两种策略的有效性。更多还原

【Abstract】 Quadrilateral Area Coordinate (QAC) method is a new tool for developing 2D quadrilateral finite element models which are insensitive to mesh distortion. But this new system can not handle curved-side cases directly. In this paper, two computational strategies for curved-side elements formulated by QAC are presented: the first pattern is a generalization of the isoparametric transformation for triangular elements; and the second is a simply approximate one, which are performed only by adjusting the coordinates of the mid-side nodes on curved-sides. Numerical examples demonstrate the validity of the proposed strategies.更多还原