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A Four-Node Reissner-Mindlin Shell with Assumed Displacement Quasi-Conforming Method

Ping Hu1, Yang Xia1, Limin Tang2

School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian116024, P.R. China, pinghu@dlut.edu.cn
Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P.R.China.

Computer Modeling in Engineering & Sciences 2011, 73(2), 103-136. https://doi.org/10.3970/cmes.2011.073.103

Abstract

In this paper, an assumed displacement quasi-conforming finite element method with truncated polynomial expansions of in-domain displacements and derived expansions of strains is introduced. Based on the method a four-node quadrilateral flat shell element with complete quadratic polynomials for membrane and bending displacement fields is developed. Numerical tests are carried out for validation of the present element. The results show that the present element preserves all the advantages of the quasi-conforming i.e., explicit stiffness matrix, convenient post processing and free from membrane locking and shear locking. The tests also prove that the present element gives excellent results, especially for the bending moments, and possesses a stable convergence rate.

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Cite This Article

Hu, P., Xia, Y., Tang, L. (2011). A Four-Node Reissner-Mindlin Shell with Assumed Displacement Quasi-Conforming Method. CMES-Computer Modeling in Engineering & Sciences, 73(2), 103–136.



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