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Qualitative behavior of buckled nonlinearly elastic arches

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References

  1. S. S. Antman, The Shape of Buckled Nonlinearly Elastic Rings, Z. Angew. Math. Phys. 21 (1970) 422–438.

    Google Scholar 

  2. S. S. Antman, The Theory of Rods, Handbuch der Physik, vol. VIa/2, Springer Verlag, Berlin, Heidelberg, New York 1972, 641–703.

    Google Scholar 

  3. S. S. Antman, Qualitative Theory of the Ordinary Differential Equations of Nonlinear Elasticity, in Mechanics Today 1972 (ed. S. Nemat-Nasser), Pergamon Press, New York 1974, 58–101.

    Google Scholar 

  4. S. S. Antman, Monotonicity and Invertibility Conditions in One-Dimensional Nonlinear Elasticity, in Nonlinear Elasticity (ed. R. W. Dickey), Academic Press, New York 1973, 57–92.

    Google Scholar 

  5. S. S. Antman, Ordinary Differential Equations of Nonlinear Elasticity I: Foundations of the Theories of Nonlinearly Elastic Rods and Shells, Arch. Rational Mech. Anal, 61 (1976) 307–351.

    Google Scholar 

  6. S. S. Antman, Buckled States of Nonlinearly Elastic Plates, Arch. Rational Mech. Anal. 67 (1978) 111–149.

    Google Scholar 

  7. S. S. Antman and A. Nachman, Large Buckled States of Rotating Rods, to appear.

  8. S. S. Antman and G. Rosenfeld, Global Behavior of Buckled Elastic Rods, S.I.A.M. Rev. 20 (1978) 513–566.

    Google Scholar 

  9. M. G. Crandall and P. H. Rabinowitz, Nonlinear Sturn-Liouville Eigenvalue Problems and Topological Degree, J. Math. Mech. 19 (1970) 1083–1102.

    Google Scholar 

  10. R. J. Magnus, A Generalization of Multiplicity and the Problem of Bifurcation, Proc. Lond. Math. Soc. 32 (1976) 251–278.

    Google Scholar 

  11. P. H. Rabinowitz, Some Aspects of Nonlinear Eigenvalue Problems, Rocky Mountain J. Math. 3 (1973) 161–202.

    Google Scholar 

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Antman, S.S., Dunn, J.E. Qualitative behavior of buckled nonlinearly elastic arches. J Elasticity 10, 225–239 (1980). https://doi.org/10.1007/BF00127449

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