WIAS Preprint No. 3216, (2025)

Derivation of the Reissner--Mindlin model from nonlinear elasticity


Authors

  • Fastovska, Tamara
    ORCID: 0000-0002-7172-305X
  • Ginster, Janusz
    ORCID: 0000-0001-5825-1556
  • Zwicknagl, Barbara
    ORCID: 0000-0002-6394-0775

2020 Mathematics Subject Classification

  • 49J45 74B20 74K20

Keywords

  • Reissner--Mindlin plate model, dimension reduction, finite elasticity

DOI

10.20347/WIAS.PREPRINT.3216

Abstract

We discuss how the Reissner--Mindlin plate model can be derived from three-dimensional finite elasticity in terms of Gamma-convergence. The presence of transverse shear effects in the Reissner--Mindlin model requires to scale different components of the three-dimensional elastic strain differently. A main technical tool is then the combination of rigidity estimates for the deformation and suitably averaged versions.

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