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Talk

Plate models in nonlinear elasticity obtained by the process of simultaneous homogenization and dimensional reduction

  • Igor Velcic (Basque Center for Applied Mathematics)
A3 01 (Sophus-Lie room)

Abstract

In the talk we shall discuss about plate models for different regimes obtained by the process of simultaneous homogenization and dimensional reduction with the special emphasis on the von Kármán case. Since we have two small parameters, namely the thickness of the plate $h$ and the oscillations of material $\varepsilon(h)$, the obtained models depend on the relation between these two parameters. We shall discuss the case when they are on the same scale i.e. $\lim_{h \to 0} \frac{h}{\varepsilon(h)}=\gamma \in \langle 0, \infty \rangle$. During the talk we shall also present three new models obtained by this procedure: homogenized von Kármán plate model, periodically wrinkled von Kármán plate and homogenized von Kármán shell model.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher