去旋转约束的Allman四边形组合杂交稳定化有限元方法

Allman Quadrilateral Combined Hybrid Stabilized Finite Element Method with No Rotation Constraints

通常带旋转自由度的有限元,在计算过程中需要对旋转自由度进行相应的约束,且约束规则不定.本文提出了采用Allman位移插值的四边形组合杂交稳定化有限元法,通过引入相应的稳定项,去掉了对旋转自由度的约束.数值试验表明,新方法具有比Allman四边形位移元更好的数值性能.

In the calculation of finite element with drilling degrees of freedom,it is annoyed that drilling degrees of freedom need to be bound accordingly,and constraint rules are uncertain.In this paper,using Allman quadrilateral interpolation for displacement Approximation and introducing the stability of the corresponding items,we get a stabilized hybrid finite element method,which removes the constraints on the drilling degrees of freedom.Numerical experiments show that our new method has better numerical performance than the Allman quadrilateral displacement element.