Structural Engineering and Mechanics

  • 제5권1호
  • /
  • Pages.69-83
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 발행 : 1997.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

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).

키워드

참고문헌

  1. Masa Hyahshi and Takaki Sakaguchi (1993), "Mindin node-strip elements for the bedning analysis of thick and thin plate", Journal of Structural Mechanics and Earthquake Engineering, 1(459), 93-101.
  2. Pan, Y. S. (1985), Master Thesis, Southwestern Jiaotong University, Sichuan, China.
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  6. Pian, T.H.H. and Chen, D.P. (1983), "On the suppression of zero energy deformation models", Int. J. Num. Meth. Eng., 19, 1741-1752. https://doi.org/10.1002/nme.1620191202
  7. Stummel, F. (1980), "The limitations of the patch test", I.J.N.M.E., 15, 177-188.
  8. Zhong, C.S. (1984), "On the convergence properties of the quadrilateral element of Sander and Beckers", Math. Comp., 42, 493-504. https://doi.org/10.1090/S0025-5718-1984-0736448-4
  9. Zhou, B.K. and Duan, M. (1993), "Error estimates of h- and p-convergence in multi-field finite elements", Proceeding of the second Asian-Pacific Conference on Computational Mechanics, Australia, August.

피인용 문헌

  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