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Some Considerations on Variational Principle for Elastic Rods with Finite Rotations in Space

Conference paper

Summary

An effort is made to derive a complementary energy principle for large deflection problems of nonplanar rods with finite rotations in space. As with the existing literature the subsidiary conditions are given in linear forms while the complementary energy functional is given in nonlinear forms with respect to the generalized stress resultants and moments.

Keywords

Variational Principle Subsidiary Condition Complementary Energy Mechanical Boundary Condition Finite Rotation 
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References

  1. 1).
    Washizu, K., “Variational Methods in Elasticity and Plasticity” Pergamon Press, 3rd edition, 1982.MATHGoogle Scholar
  2. 2).
    Washizu, K., “On the principle of Complementary Energy in Nonlinear Elasticity” Proc. of the 11th JSSC Matrix Symp., 1977.Google Scholar
  3. 3).
    Stumpf, H., “Die Extremalprinzipe der nichtlinearen Plattentheorie” ZAMM, 55(1975) 110–112.Google Scholar
  4. 4).
    Stumpf, H., “Die dualen Variationsprinzipien mit Extremal- eigenschaft in der nichtlinearen Theorie flacher Schalen” ZAMM 56 (1976) 53–155.MathSciNetGoogle Scholar
  5. 5).
    Fraeijs de Veubeke, B.,”A New Variational Principle for Finite Elastic Displacements” Int. J. Engng. Sci. 10(1972) 745–763.MATHCrossRefGoogle Scholar
  6. 6).
    Murakawa, H. and S.N. Atluri, “Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle” J. Appl. Mech., 45(1978) 539–547.ADSMATHCrossRefGoogle Scholar
  7. 7).
    Iura, M. and M. Hirashima, “Geometrically Nonlinear Theory of Naturally Curved and Twisted Rods Undergoing Finite Rotations” J. of Structural Engineering, Vol.32A/1986.3.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • M. Iura
    • 1
  1. 1.Department of Civil and Structural EngineeringTokyo Denki UniversityHiki-gun, SaitamaJapan

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