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Plastic post-buckling of a simply supported column with a solid rectangular cross-section

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Abstract

The plastic post-buckling of a simply supported column with a solid rectangular cross-section is analysed by a new approach. High order terms in the asymptotic postbuckling expansions are carried out. In some aspects, the method proposed in this paper is similar to Hutchinson's. However, the computation is simple since the introduction is avoided of stretched coordinates. The method can be used to analyse initial post-bifurcation of plates and shells in the plastic range.

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References

  1. S. Akel, Q. S. Nguyen and C. Stolz,Instablite's Plastiques, Seminaire CEA/EDF/INRIA. Paris (1985).

  2. R. Hill, A general theory of uniqueness and stability in elastic/plastic solids,J. Meth. Phys. Solids,7 (1958), 209–225.

    Article  Google Scholar 

  3. J. W. Hutchinson, Post-bifurcation behaviour in plastic range.,J. Mech. Phys. Solids,21, (1973), 163–190.

    Article  MATH  Google Scholar 

  4. J. W. Hutchinson, Plastic buckling,Advances in Appl. Mech.,14 (1974), 67–144.

    Article  Google Scholar 

  5. Q. S. Nguyen, Bifurcation and post-bifurcation analysis in plasticity and brittle fracture,J. Mech. Phys. Solids,35 (1987), 303–324.

    Article  MATH  MathSciNet  Google Scholar 

  6. Q. S. Nguyen and N. Triantafyllidis, Plastic bifurcation and post-bifurcation analysis for generalized standard continua,J. Mech. Phys. Solids,37 (1989), 545–566.

    Article  MATH  MathSciNet  Google Scholar 

  7. F. R. Shanley, Inelastic column theory.,J. Aero. Sci.,14 (1947), 261–267.

    Google Scholar 

  8. X. M. Su, Theory of post-buckling and imperfection sensitivity analysis of structures in plastic range, Ph. D. thesis, Shanghai University of Technology (1988). (in Chinese)

  9. X. M. Su and W. D. Lu, Postbuckling and imperfection sensitivity analysis of structures in the plastic range Part II: Shallow shell analysis,Thin-Walled Struct.,11 (1991), 203–217.

    Article  Google Scholar 

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Project supported by the National Natural Science Foundation of China

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Yoshun, C., Wenda, L. & Hong, F. Plastic post-buckling of a simply supported column with a solid rectangular cross-section. Appl Math Mech 16, 713–722 (1995). https://doi.org/10.1007/BF02453397

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  • DOI: https://doi.org/10.1007/BF02453397

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