Fourteen-Node Mixed Stiffness Element And Its Computational Comparisons With Twenty-Node Isoparametric Element
Tian-Xiao Zhou 1, Shou-Li Li 1, Zheng-Wei Wang 1, Jian-Min Xing 1, Ping Yang 11 Computing Institute, Chinese Aeronautical Establishment, China
Revised Online 2006-11-17
In this paper, a family of 3-dimensional elements different from isoparametric serendipity is developed according to the variational principle and the convergence criteria of the mixed stiffness finite element method. For the new family, which is named mixed stiffness elements, the number of nodes on the quadratic element is not 20 but 14. Theoretical analysis and various computional comparisons have found the mixed stiffness element superior over the isoparametric serendipity element, especially a substantial improvent in computational efficiency can be achieved by replacing the 20 node-isoparametric element with the 14-node mixed stiffness element.