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

  • Ren Xiaoan
Conference paper

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.

Keywords

Finite Difference Method Stress Tensor Component Turbine Disc Global Stiffness Matrix Deviatoric Stress Tensor 
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References

  1. 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. 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.MATHCrossRefGoogle Scholar
  3. 3.
    Wilhelm Flugge: Tensor Analysis and Continuum Mechanics. Springer-Verlag, 1972.Google Scholar
  4. 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

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Ren Xiaoan
    • 1
  1. 1.Division of Solid MechanicsInstitute of Mechanics, Chinese Academy of SciencesBeijingChina

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