Stochastic homogenization of the bending plate model

TL;DR

This paper applies stochastic two-scale convergence to analyze the homogenization of elastic plates in the bending regime, providing a mathematical framework for understanding their effective behavior under randomness.

Contribution

It introduces a stochastic homogenization approach for the bending plate model using two-scale convergence, advancing the mathematical understanding of elastic plates with random properties.

Findings

Established stochastic homogenization results for bending plates

Derived effective models capturing randomness in material properties

Provided mathematical rigor for stochastic elastic plate analysis

Abstract

We use the notion of stochastic two-scale convergence to solve the problem of stochastic homogenization of the elastic plate in the bending regime.