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Incompatible curved quadrilateral plate bending element with 12-degrees of freedom

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Abstract

This paper presents a new curved quadrilateral plate element with 12-degree freedom by the exact element method[1]. The method can be used to arbitrary non-positive and positive definite partial differential equations without variation principle. Using this method, the compatibility conditions between element can be treated very easily, if displacements and stress resultants are continuous at nodes between elements. The displacements and stress resultants obtained by the present method can converge to exact solution and have the second order convergence speed. Numerical examples are given at the end of this paper, which show the excellent precision and efficiency of the new element.

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Authors and Affiliations

  1. Anhui Architectural Industry College, Hefei

    Ji Zhen-yi

  2. Lanzhou University, Lanzhou

    Yeh Kai-yuan

Authors
  1. Ji Zhen-yi
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  2. Yeh Kai-yuan
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Additional information

The project supported by the Outstanding Education Fund and Doctor Point Fund of National Education Committee and the National Natural Science Foundation of China

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Zhen-yi, J., Kai-yuan, Y. Incompatible curved quadrilateral plate bending element with 12-degrees of freedom. Appl Math Mech 14, 109–116 (1993). https://doi.org/10.1007/BF02453352

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  • DOI: https://doi.org/10.1007/BF02453352

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