Abstract
The nonlinear quasi-conforming FEM is presented based on the basic concept of the quasiconforming finite element. First, the incremental principle of stationary potential energy is discussed. Then, the formulation process of the nonlinear quasi-conforming FEM is given. Lastly, two computational examples of shells are given.
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References
Atluri S, Murakawa H. On hybrid finite element models in nonlinear solid mechanics. In: Bergan P G, et al. eds. Finite Elements in Nonlinear Mechanics. Norway: Tapir, 1977. 3–44
Kleiber M, ed. Incremental Finite Element Modeling in Non-linear Solid Mechanics, New York: John Wiley Sons, 1989
Tang Limin, Chen Wanji, Liu Yingxi. Quasi-conforming elements for finite element analysis.J. Dalian Institute of Technology. 1980, 19(2): 19–35
Chen Wanji, Liu Yingxi, Tang Limin. The formulation of quasi-conforming elements.J. Dalian Institute of Technology, 1980, 19(2): 37–50
Jiang Heyang. Quasi-conforming Model Nonlinear Finite Element and Others. Dissertation, Dalian: Dalian Institute of Technology, 1984, 1–42
Yin Youquan, ed. Introduction of Nonlinear Finite Element in Solid Mechanics. Beijing: Beijing University Press, Qinghua University Press, 1987
Zhang Ruqing, Zhan Xianyi, eds. Analysis of Nonlinear Finite Element. Chongqing: Chongqing University Press, 1990
Washizu K, ed. Variational Methods in Elasticity and Plasticity, 3rd ed. Pergamon Press, 1982
Liu Hong. Research on Static, Vibrational and Stable Analysis of Quasi-conforming Finite Element for Plates and Shells. Dissertation, Dalian: Dalian University of Technology, 1988, 1–122
Guan Yupu. Research on Multi-variable Quasi-conforming Degenerated Shell Finite Element. Dissertation, Dalian: Dalian University of Technology, 1991, 1–168
Guan Yupu, Tang Limin. A quasi-conforming nine-node degenerated shell finite element.Finite Elements Anal. De s., 1992, 11: 165–176.
Horrigmoe G, Bergan P G. Nonlinear analysis of free form shells by flat finite elements.Comput. Methods Appl. Engl. 1978, 16: 11–35
Chang T Y, Sawamiphakdi K. Large deformation analysis of laminated shells by finite element.Comput. Struct., 1981, 13: 331–340
Leicester R H. Finite deformations of shallow shells.J. Eng. Mech. Div., 1968, ASCE94(EM-2): 1409–1423
Saleeb A F, Chang T Y, Graf, W, Yingyeunyong S. A hybrid/mixed model for non-linear shell analysis and its application to large-rotation problems.Int. J. Numer. Methods Eng., 1990, 29: 407–446
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Yupu, G., Limin, T. Nonlinear quasi-conforming finite element method. Acta Mech Sinica 9, 269–276 (1993). https://doi.org/10.1007/BF02486804
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DOI: https://doi.org/10.1007/BF02486804