Analytical Trial Function Method I — Membrane and Plate Bending Elements
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This chapter introduces a novel finite element method, namely, the analytical trial function method. A detailed discussion on the features of the analytical trial function method is firstly given in Sect. 14.1. Then, in the next five sections, the basic analytical solutions of plane problem, thick plate problem and thin plate problem are derived and taken as the trial functions for the corresponding finite element models. It can be seen that those resulting models exhibit excellent performance. Some challenging problems, such as the trapezoidal locking and shear locking, can be avoided naturally.
Keywordsfinite element analytical trial function method membrane element plate bending element
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- Long YQ, Zhi BC, Kuang WQ, Shan J (1982). Sub-region mixed finite element method for the calculation of stress intensity factor. In: He GQ et al. (eds). Proceedings of International Conference on FEM. Science Press, Shanghai, pp738–740Google Scholar
- Long YQ, Fu XR (2002) Two generalized conforming quadrilateral thick plate elements based on analytical trial functions. Gong Cheng Li Xue/Engineering Mechanics 19(3): 10–15 (in Chinese)Google Scholar
- Fu XR, Long YQ (2002) Generalized conforming quadrilateral plane elements based on analytical trial functions. Gong Cheng Li Xue/Engineering Mechanics 19(4): 12–16 (in Chinese)Google Scholar
- Long YQ, Fu XR (2002) Generalized conforming elements based on analytical trial functions. In: Proceedings of the Eleventh National Conference on Structural Engineering (Vol. I), plenary lecture. China, Changsha, pp28–39 (in Chinese)Google Scholar
- Cao YP, Hu N, Yao ZH (2002) Improved EAS elements. Gong Cheng Li Xue/Engineering Mechanics 19(1): 47–51 (in Chinese)Google Scholar
- Hu HC (1984) Variational principles of theory of elasticity with applications. Science Press, BeijingGoogle Scholar
- Long ZF, Cen S (2001) New Monograph of finite element method: principle, programming, developments. China Hydraulic and Water-power Press, Beijing (in Chinese)Google Scholar