Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (2): 329-338.

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A Nonconforming Locking-Free Triangular Prism Element Analysis for Linear Elasticity Problem

Yanping Sun1,*(),Shaochun Chen2   

  1. 1 College of Science, Henan Institute of Engineering, Zhenzhou 451191
    2 School of Mathematics and Statistics, Zhengzhou University, Zhenzhou 450001
  • Received:2017-10-12 Online:2019-04-26 Published:2019-05-05
  • Contact: Yanping Sun E-mail:yanpingsun2007@126.com
  • Supported by:
    the NSFC(11701522);the Science and Technology Research Program of Education Department of Henan Province(17A110017)

Abstract:

This paper discuss the linear elasticity problem and constructs a nonconforming triangular prism element with 18 degrees of freedom. The shape functions of this element satisfy that the divergence of displacement is zeroth polynomial. We can deduce that the energy norm has the first order convergence rate and the L2 norm has the second order convergence rate.

Key words: Planar elasticity problem, Nonconforming element, Triangular prism element, Strong lemma, Lamé constant

CLC Number: 

  • O242.21
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