Skip to main content
SpringerLink
Log in

Quadratic Spline Thick/Thin Plate Triangular Hybrid Elements

  • Conference paper
Computational Mechanics ’86

Abstract

Using the displacement function of the quadratic spline thick/thin beam element developed by the author as the element boundary displacement interpolation and assuming the equilibrium stress fields inside the element, the present paper develops new 3-noded (9-DOF) triangular hybrid plate elements which can be used for both thick (including the transverse shear deformation) and thin plates. Among six different stress polynomial functions (from 5 to 17 stress parameters) the 9-stress-parametered one is found to be the optional, which is geometrically isotropic, has no locking phenomena and provides excellent accuracy for both displacements and stresses.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Yuan, S.:“Spline Elements in Stress Analysis”, Ph.D. dissertation, Dept. of Civil Engng., Tsinghua University, 1984 (in Chinese).

    Google Scholar 

  2. Yuan, S.:”Spline Rectangular Elements”, Computational Structural Mechanics and Applications, Vol. 1, No. 2, pp.41–47, 1984, (in Chinese).

    Google Scholar 

  3. Yuan, S.: “Spline Rectangular Thick/thin Plate Elements”, Acta Mechanica Sinica, Vol. 16, No.4, pp. 401–407, 1984, (in Chinese).

    Google Scholar 

  4. Pian, T.H.H.: “Hybrid Models”, in Numerical and Computer Methods in Structural Mechanics, (Eds. S.J. Fenves et al.), pp. 50–78, Academic Press, 1973.

    Google Scholar 

  5. Pian, T.H.H.;Sumihara, K.:”Hybrid Semiloof Elements for Plates and Shells Based upon a Modified Hu-Washizu Principle”, Computers and Structures, Vol. 19, No.1–2, pp.165–173, 1984.

    Article  MATH  Google Scholar 

  6. Timoshenko, S.; Woinowsky-Krieger, S.: “Theory of Plates and Shells”, 2nd ed., McGraw-Hill, 1959.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Tsinghua University, Beijing, China

    S. Yuan

Authors
  1. S. Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer Japan

About this paper

Cite this paper

Yuan, S. (1986). Quadratic Spline Thick/Thin Plate Triangular Hybrid Elements. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_15

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-68042-0_15

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation