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R. H. MacNeal, “Derivation of Element Stiffness Matrices by Assumed Strain Distributions,” Nuclear Engineering and Design, Vol. 70, No. 1, 1982, pp. 3-12. ttp://dx.doi.org/10.1016/0029-5493(82)90262-X

has been cited by the following article:

• TITLE: Hybrid Post-Processing Procedure for Displacement-Based Plane Elements

  AUTHORS: Xiaoming Chen, Song Cen, Jianyun Sun, Yungui Li

  KEYWORDS: Finite Element; Displacement-Based Plane Element; Hybrid Post-Processing Procedure

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.6, November 28, 2013

  ABSTRACT: In the analysis of high-rise building, traditional displacement-based plane elements are often used to get the in-plane internal forces of the shear walls by stress integration. Limited by the singular problem produced by wall holes and the loss of precision induced by using differential method to derive strains, the displacement-based elements cannot always present accuracy enough for design. In this paper, the hybrid post-processing procedure based on the Hellinger-Reissner variational principle is used for improving the stress precision of two quadrilateral plane elements. In order to find the best stress field, three different forms are assumed for the displacement-based plane elements and with drilling DOF. Numerical results show that by using the proposed method, the accuracy of stress solutions of these two displacement-based plane elements can be improved.