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Constitutive Law and Force Recovery for Large Strain Problems

  • Yeong-Bin Yang
  • Liang-Jenq Leu
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

For trusses with large strains, the use of identical material constants in an incremental analysis does not imply identical material behaviors for formulations with different reference states. For consistency, a transformation of the material constants from one formulation to the other based on the continuum mechanics rules is required. In calculating the member forces, it is recommended that the “total form,” rather the “incremental form,” be used at each step to avoid possible numerical errors.

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References

  1. 1.
    Cescotto, S., Frey, F., and Fonder, G., “Total and Updated Lagrangian Descriptions in Nonlinear Structural Analysis: A Unified Approach,” Energy Methods in Finite Element Analysis, edited by Glowinski, R., Rodin, E. Y., and Zienkiewicz, O. C., John Wiley & Sons, New York, N.Y., 1979, Chapter 15, pp. 283–296.Google Scholar
  2. 2.
    Fung, Y. C, Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, N.J. (1965)Google Scholar
  3. 3.
    Yang, Y. and Leu, L. J., “Postbuckling Analysis of Trusses with Various Lagrangian Formulations,” AIAA Journal, American Institute of Aeronautics and Astronautics, Vol. 28, No. 5, May 1990, pp. 946–948.Google Scholar
  4. 4.
    Yang, Y. and Leu, L. J., “Constitutive Laws and Force Recovery Procedures in Nonlinear Analysis of Trusses,” accepted for publication in the journal of Computer Methods in Applied Mechanics and Engineering.Google Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1991

Authors and Affiliations

  • Yeong-Bin Yang
    • 1
  • Liang-Jenq Leu
    • 1
  1. 1.Department of Civil EngineeringNational Taiwan UniversityTaipei, TaiwanROC

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