A new scheme for designing the penalty factor in 3-D penalty-equilibrating mixed elements

Yan Ping Cao, Ning Hu, Jian Lu, Hisao Fukunaga, Zhen Han Yao

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, a new scheme for designing the penalty factor in 3-D penalty-equilibrating mixed elements based on the Hu-Washizu three-field variational functional is proposed to improve the performance of the elements when applied to beam, plate and shell structures. In order to construct this new scheme, the role played by the penalty factor is first discussed in detail by comparing it with the selective reduced factor designed by Sze for overcoming the so-called 'trapezoid locking'. The reason of the poor performance of the penalty-equilibrating element for the distorted elemental geometry is investigated thoroughly. Furthermore, the penalty factor is designed to alleviate the influence of false strain/stress in elements by considering the geometrical characteristics of beam, plate and shell structures. The new scheme is applied to the penalty-equilibrating 3-D mixed element proposed by the present authors previously. Some challenging numerical examples are selected to demonstrate the effectiveness of the present approach.

Original languageEnglish
Pages (from-to)455-464
Number of pages10
JournalCommunications in Numerical Methods in Engineering
Volume20
Issue number6
DOIs
Publication statusPublished - 2004 Jun 1

Keywords

  • 3-D mixed element
  • Mesh distortion
  • Penalty factor
  • Three-field variational principle

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics

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