CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2004, Vol. 21 ›› Issue (3): 377-382.

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Analysis of Elastic Cosserat Medium Using Discrete Cosserat Finite Elements

ZHENG Chang-liang1, REN Ming-fa1, ZHANG Zhi-feng1, SONG He-ping2   

  1. 1. Department of Engineering Mechanics of Dalian University of Technology, Dalian 116023, China;
    2. Department of Mathematics and Physics of Hebei Normal Institute of Science and Technology, Qinhuangdao 066004, China
  • Received:2003-03-07 Revised:2003-09-05 Online:2004-05-25 Published:2004-05-25

Abstract: This paper deals with the finite element method of plane couple stress theory. A discrete Cosserat finite element method is proposed. The displacement and rotation fields are interpolated independently. Kinematic constraints between rotation and displacement gradient are imposed in discrete fashions. A 3-nonded, 9-dof (degree of freedom) triangular discrete Cosserat element (called DCT9) is formulated based on discrete Cosserat technique. Numerical results show that DCT9 element can describe mechanical properties of the Cosserate medium.

Key words: discrete Cossrat element, Cosserat medium

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