Convergence of equilibria of thin elastic plates – the von Kármán case

@inproceedings{Mller2007ConvergenceOE,
  title={Convergence of equilibria of thin elastic plates – the von K{\'a}rm{\'a}n case},
  author={Stefan M{\"u}ller and Mohammed Reza Pakzad},
  year={2007}
}
We study the behaviour of thin elastic bodies of fixed cross-section and of height h , with h → 0. We show that critical points of the energy functional of nonlinear three-dimensional elasticity converge to critical points of the von Kármán functional, provided that their energy per unit height is bounded by Ch (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers. 

From This Paper

Topics from this paper.
7 Citations
19 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 19 references

A hierarchy of plate models

  • G. Friesecke, R. D. James, S. Müller
  • derived from nonlinear elasticity by Gamma…
  • 2006
Highly Influential
6 Excerpts

Confining thin sheets and folding paper

  • S. Conti, F. Maggi
  • Preprint
  • 2005
2 Excerpts

Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ-convergence

  • M. G. Mora, S. Müller
  • Calc. Var. Partial Differential Equations 18
  • 2003

Habilitation thesis

  • S. Conti
  • University of Leipzig
  • 2003
1 Excerpt

Justification of nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method

  • R. Monneau
  • Arch. Rational Mech. Anal. 169
  • 2003
2 Excerpts

On the justification of the nonlinear inextensional plate model

  • O. Pantz
  • Arch. Rational Mech. Anal. 167
  • 2003
1 Excerpt

A hierarchy of plate models , derived from nonlinear elasticity by Gammaconvergence

  • R. D. James G. Friesecke, S. Müller
  • Arch . Rational Mech . Anal .
  • 2002

Similar Papers

Loading similar papers…