Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity
Year: 2026
Type: preprint
Abstract: Starting from a three-dimensional model of linearized magnetoelasticity, we investigate the asymptotic behavior of a thin shell as its thickness approaches zero. Our analysis focuses on a family of linearly elastic elliptic membrane shells. Using $Γ$-convergence, we rigorously derive a two-dimensional linear magnetoelastic shell model and establish its relationship to the original three-dimensional model in terms of the convergence of minimizers.
Source: arXiv (Cornell University)
Author: Giang, Trung Hieu
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: Univerzita Karlova v Praze
Awards: G5857897170, G7083414870
OpenAlex ID: W7204967810