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发布时间：2019-03-12

论文类型：期刊论文

发表时间：2017-06-01

发表刊物：COMPUTATIONAL & APPLIED MATHEMATICS

收录刊物：Scopus、SCIE

卷号：36

期号：2

页面范围：859-875

ISSN号：0101-8205

关键字：Incompatible modes; Cartesian coordinate; Quasi-conforming; Convergence; Patch test; Quadrilateral element; Finite element

摘要：Incompatible modes with parametric coordinates are widely used in finite element method to develop low-order elements with high accuracy. But it leads to unstable results and must be used along with the constant Jacobian matrix technique to assure convergence. The incompatible modes with Cartesian coordinates are proposed as an alternative. The advantage is that the present method can improve the accuracy, assure the convergence of the elements without additional correction technique and greatly reduce the amount of calculation. With this method, a new quadrilateral element IMQ6 is formulated within the quasi-conforming scheme. Both theoretical and numerical analyses are conducted and it is proved that the present incompatible modes improve the element's performance in both precision and efficiency.