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Volume 42 Issue 6
Nov.  2012
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Article Navigation >  Advances in Mechanics  > 2012  >  42(6): 755-770
HU Ping, XIA Yang. SURVEY OF QUASI-CONFORMING FINITE ELEMENT METHOD[J]. Advances in Mechanics, 2012, 42(6): 755-770. doi: 10.6052/1000-0992-12-068
Citation: HU Ping, XIA Yang. SURVEY OF QUASI-CONFORMING FINITE ELEMENT METHOD[J]. Advances in Mechanics, 2012, 42(6): 755-770. doi: 10.6052/1000-0992-12-068
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SURVEY OF QUASI-CONFORMING FINITE ELEMENT METHOD

doi: 10.6052/1000-0992-12-068

  • School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China

Funds:  The project was supported by the Key Project of the NSFC (10932003), NSFC (11272075), “863”Project of China (2009AA04Z101), “973”National Basic Research Project of China (2010CB832700) and“04”Great Project of Ministry of Industrialization and Information of China (2011ZX04001-21).
More Information
  • Corresponding author: HU Ping
  • Received Date: 2012-05-16
  • Rev Recd Date: 2012-07-04
  • Publish Date: 2012-11-25
    Abstract
  • Quasi-conforming analysis is an important and characteristic finite element method. The formulation of quasi-conforming element is simple and flexible, which unifies the conforming and non-conforming finite element method. In quasi-conforming formulation, the equilibrium equations as well as strain-displacement equations are weakened and the importance of basis functions of finite element space is emphasized. The convergence of quasi-conforming elements is guarded by the control of discrete precision of displacements and strains. The Taylor expansion test can also be used for direct analysis of convergence. Many excellent quasiconforming elements have been constructed and applied widely in engineering analysis, which is the reflection of the value of quasi-conforming finite element method. The formulation process, theory and the important elements of quasi-conforming are summarized in this paper. Finally prospective developments of quasi-conforming are suggested. The research on quasi-conforming is an original and fundamental work, which contributes to the development of computational mechanics.

     

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