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Asymptotic behavior of a structure made by a plate and a straight rod

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Abstract

This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Kármán’s equations (or the linear model for smaller forces) in the plate and to a one-dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.

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Author information

Authors and Affiliations

  1. Université de Rouen, Rouen, France

    Dominique Blanchard

  2. Laboratoire J.-L. Lions-CNRS, Boîte courrier 187, Université Pierre et Marie Curie, 4 Place Jussieu, 75005, Paris, France

    Georges Griso

Authors
  1. Dominique Blanchard
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  2. Georges Griso
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Corresponding author

Correspondence to Georges Griso.

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DECEASED on February 11th, 2012

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Blanchard, D., Griso, G. Asymptotic behavior of a structure made by a plate and a straight rod. Chin. Ann. Math. Ser. B 34, 399–434 (2013). https://doi.org/10.1007/s11401-013-0771-2

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  • DOI: https://doi.org/10.1007/s11401-013-0771-2

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