Skip to main content
SpringerLink
Log in

A generalized conforming isoparametric element

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Based on the generalized compatibility condition under constant and linear stress field, a quadrilateral generalized conforming isoparametric element, GC-Q6, for plane stress analysis, is developed. The element GC-Q6 can be regarded as an improved form of Wilson's non-conforming isoparametric element Q6. GC-Q6 can pass the patch test for arbitrary irregular mesh while Q6 can not. GC-Q6 degenerates to Q6 when it is a parallelogram. Numerical examples show that the GC-Q6 element gives more accurate stress solution than the existing non- conforming elements and is less sensitive to geometric distortion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wilson, E.L., et al., Incompatible displacement models,Numerical and Computer Methods in Structural Mechanics, ed. Fenves, S.J., et al., Academic Press, New York (1973), 43–57.

    Google Scholar 

  2. Taylor, R.L., et al., A non-conforming element for stress analysis,Int. J. Num. Meth. Engng.,10 (1976), 1211–1219.

    Article  MATH  Google Scholar 

  3. Wachspress, E.L., Incompatible quadrilateral basis functions,Int. J. Num. Meth. Engng.,12 (1978), 589–595.

    Article  MATH  Google Scholar 

  4. Chen Wan-ji and Tang Li-min, Isoparametric quasi-conforming element,J. of Dalian Institute of Technology,20, 1 (1981), 63–74. (in Chinese)

    Google Scholar 

  5. Pian, T.H.H. and Wu Chang-chun, General formulation of incompatible shape function and an incompatible isoparametric element,Proc. of the Invitational China-American Workshop on FEM, Chengde, China, June 2–6 (1986), 159–165.

  6. Long Yu-qiu and Xin Ke-qui, Generalized conforming element,China Civil Engineering Journal,20, 1 (1987), 1–14. (in Chinese)

    Google Scholar 

  7. Cook, R.D., Improved two-dimensional finite element,J. Struct. Div., ASCE,100. ST9 (1974), 1851–1863.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Qinghua University, Beijing

    Long Yu-qiu & Huang Min-feng

Authors
  1. Long Yu-qiu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Huang Min-feng
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu-qiu, L., Min-feng, H. A generalized conforming isoparametric element. Appl Math Mech 9, 929–936 (1988). https://doi.org/10.1007/BF02014599

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02014599

Keywords

Search

Navigation