Year: 2025
Type: article
Abstract: We derive a new version of the von Kàrmàn energy and the corresponding Euler-Lagrange equations, in the context of thin pre-strained plates, under the condition of incompressibility relative to the given pre-strain. Our derivation uses the theory of $\Gamma$-convergence in the calculus of variations, building on prior techniques in [6] and [21].
Author: Hui Li
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4411720206