Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (7): 861-869 .doi: https://doi.org/10.1007/s10483-006-0701-z

• 论文 •    下一篇

DEFORMATION RIGIDITY OF ASSUMED STRESS MODES IN HYBRID ELEMENTS

张灿辉, 黄黔, 冯伟   

  • 收稿日期:2005-05-27 修回日期:2006-03-30 出版日期:2006-07-18 发布日期:2006-07-18
  • 通讯作者: 张灿辉

DEFORMATION RIGIDITY OF ASSUMED STRESS MODES IN HYBRID ELEMENTS

ZHANG Can-hui, HUANG Qian, FENG Wei   

    1. Department of Civil Engineering, Xiamen University, Xiamen 361005, P. R. China;
    2. China International Engineering Consulting Corporation, Beijing 100044, P. R. China;
    3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2005-05-27 Revised:2006-03-30 Online:2006-07-18 Published:2006-07-18
  • Contact: ZHANG Can-hui

Abstract: The new methods to determine the zero-energy deformation modes in the hybrid elements and the zero-energy stress modes in their assumed stress fields are presented by the natural deformation modes of the elements. And the formula of the additional element deformation rigidity due to
additional mode into the assumed stress field is derived. Based on, it is concluded in theory that the zero-energy stress mode cannot suppress the zero-energy deformation modes but increase the extra rigidity to the nonzero-energy deformation modes of the element instead. So they should not be employed to assume the stress field. In addition, the parasitic stress modes will produce the spurious parasitic energy and result the element behaving over rigidity. Thus, they should not be used into the assumed stress field even though they can suppress the zero-energy deformation modes of the element. The numerical examples show the performance of the elements including the zero-energy stress modes or the parasitic stress
modes.

Key words: hybrid stress element, element deformation rigidity, zero-energy stress mode, zero-energy deformation mode

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