已为您找到该学者17条结果 成果回收站
【期刊论文】Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes
谢小平, Shiquan Zhang and Xiaoping Xie, *
Adv. Appl. Math. Mech., Vol. 2, No.3, pp. 333-354,-0001,():
-1年11月30日
In this paper, an energy-compatibility condition is used for stress optimization in the derivation of new accurate 8-node hexahedral elements for threedimensional elasticity. Equivalence of the proposed hybrid method to an enhanced strains method is established, which makes it easy to extend the method to general nonlinear problems. Numerical tests show that the resultant elements possess high accuracy at coarse meshes, are insensitive to mesh distortions and free from volume locking in the analysis of beams, plates and shells.
Finite element,, hybrid stress method,, Hellinger-Reissner principle,, locking
-
97浏览
-
0点赞
-
0收藏
-
0分享
-
170下载
-
0
-
引用
【期刊论文】LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS*
谢小平, Shiquan Zhang. Xiaoping Xie, Yumei Chen
Journal of Computational Mathematics, Vol.27, No.2-3, 2009, 400-424.,-0001,():
-1年11月30日
In this paper, we consider lower order rectangular finite element methods for the singularly perturbed Stokes problem. The model problem reduces to a linear Stokes problem when the perturbation parameter is large and degenerates to a mixed formulation of Poisson's equation as the perturbation parameter tends to zero. We propose two 2D and two 3D nonconforming rectangular finite elements, and derive robust discretization error estimates. Numerical experiments are carried out to verify the theoretical results.
Darcy-Stokes problem,, Finite element,, Uniformly stable.,
-
44浏览
-
0点赞
-
0收藏
-
0分享
-
121下载
-
0
-
引用