高阶四边形面积坐标方法构造八节点四边形膜元

摘要

采用八节点四边形高阶等参形函数,对面积坐标(L1,L2,L3,L4)修正改进,得到高阶八节点四边形面积坐标.它是新型的八节点四边形面积坐标方法,能构造一种四边形膜元,可以处理曲边四边形八节点单元的情形.计算结果表明:它具有较好的抗畸变性能和计算精度.%The area coordinates (L1,L2,L3,L4) was modified by using the shape function of eight-node quadrilateral element,and the high-order quadrilateral membrane element was obtained.The results by new area coordinates method showed that higher accuracy and performance,insensitive to mesh distortion,extension to quadrilateral membrane element.