Structural Engineering and Mechanics

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An efficient six-node plate bending hybrid/mixed element based on mindlin/reissner plate theory

  • Mei, Duan (Faculty of Civil Engineering, Iwate University) ;
  • Miyamoto, Yutaka (Faculty of Civil Engineering, Iwate University) ;
  • Iwasaki, Shoji (Faculty of Civil Engineering, Iwate University) ;
  • Deto, Hideaki (Faculty of Civil Engineering, Iwate University) ;
  • Zhou, Benkuan (Institute of Computational Engineering Science, Southwest Jiaotong University)
  • Published : 1997.01.25
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Abstract

A new efficient hybrid/mixed thin~moderately thick plate bending element with 6-node (HM6-14) is formulated based on the Reissner-Mindlin plate bending theory. The convergence of this element is proved by error estimate theories and verified by patch test respectively. Numerical studies on such an element as HM6-14 demonstrate that it has remarkable convergence, invariability to geometric distorted mesh situations, to axial rotations, and to node positions, and no "locking" phenomenon in thin plate limit. The present element is suitable to many kinds of shape and thin~moderately thick plate bending problems. Further, in comparison with original hybrid/mixed plate bending element HP4, the present element yields an improvement of solutions. Therefore, it is an efficient element and suitable for the development of adaptive multi-field finite element method (FEM).

Keywords

References

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  1. Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) vol.17, pp.3, 2000, https://doi.org/10.1108/02644400010324893
  2. Large deflection analyses of skew plates using hybrid/mixed finite element method vol.81, pp.13, 2003, https://doi.org/10.1016/S0045-7949(03)00055-5