Skip to main content
SpringerLink
Log in

Elastic-Plastic Constitutive Equation Using Non-Orthogonal Curvilinear Coordinates and its Application in Numerical Methods

  • Conference paper
Computational Mechanics ’86

  • 24 Accesses

Summary

The elastic-plastic constitutive equations in solid mechanics are derived using arbitrary non-orthogonal curvilinear coordinates. These general equations, obtained in this paper, are applicable in both finite element and finite difference methods for dealing with irregular domains. Some examples are illustrated.

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. M.H. Li and X.A. Ren: A New Method for Torsion of Shaft with Variable Diameter Using Non-orthogonal Curvilinear Coordinates and its Application. AIAA/ASME/ASCE/AHS, 22nd Structures, Structural Dynamics & Materials Conference, April 6–8, 1981, Atlanta, Georgia, U.S.A.

    Google Scholar 

  2. Y. Yamada, N. Yishimura and T. Sakurai: Plastic Stress-Strain Matrix and its Application for the Solution of Elastic-Plastic Problems by the Finite Element Method. International Journal of Mechanical Sciences, Vol. 10, pp.343–354, 1968.

    Article  MATH  Google Scholar 

  3. Wilhelm Flugge: Tensor Analysis and Continuum Mechanics. Springer-Verlag, 1972.

    Google Scholar 

  4. wu Yongli: Three Dimensional Thermo-Elastic-Plastic Analysis of Turbine Disc by Using Finite Element Method. 2nd National Symposium on Strngth and Vibration of Engine Structures, Chinese Socity of Aeronautics and Astronautics, China, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Division of Solid Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing, China

    Ren Xiaoan

Authors
  1. Ren Xiaoan
    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

Xiaoan, R. (1986). Elastic-Plastic Constitutive Equation Using Non-Orthogonal Curvilinear Coordinates and its Application in Numerical Methods. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_99

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-68042-0_99

  • 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