A generalized conforming element based on the Cosserat theory
Received:June 28, 2009  Revised:October 28, 2009
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DOI:10.7511/jslx201103008
KeyWord:the Cosserat theory  generalized conforming condition  generalized conforming isoparametric element
     
AuthorInstitution
邢本东 同济大学 航空航天与力学学院,上海
张若京 同济大学 航空航天与力学学院,上海
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Abstract:
      A generalized conforming element is developed to deal with the problems considering the Cosserat theory in this paper. It is a 4-nodes element for the Cosserat plane problems. According to the generalized conforming condition of constant stress and linear stress, the generalized conforming displacement is deduced, and the finite element equation is obtained. The generalized conforming element can overcome the weakness of the compatible and incompatible element. The stress concentration around a central circular hole in uni-axial tension is used to check the property of the element. The results show that the element has high efficiency and good accuracy.