Derivation of the Reissner-Mindlin model from nonlinear elasticity

Tamara Fastovska; Janusz Ginster; Barbara Zwicknagl

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arXiv · 2508.08834

Derivation of the Reissner-Mindlin model from nonlinear elasticity

Tamara Fastovska·Janusz Ginster·Barbara Zwicknagl

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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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Tamara Fastovska, Janusz Ginster, Barbara Zwicknagl. 2025-08-12. Derivation of the Reissner-Mindlin model from nonlinear elasticity. https://arxiv.org/abs/2508.08834

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