Derivation of the Reissner-Mindlin model from nonlinear elasticity
Analysis of PDEs
2025-08-13 v1
Abstract
We discuss how the Reissner-Mindlin plate model can be derived from three-dimensional finite elasticity in terms of -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.
Keywords
Cite
@article{arxiv.2508.08834,
title = {Derivation of the Reissner-Mindlin model from nonlinear elasticity},
author = {Tamara Fastovska and Janusz Ginster and Barbara Zwicknagl},
journal= {arXiv preprint arXiv:2508.08834},
year = {2025}
}