PreprintCC BY 4.0arXiv
Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity
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.
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BibTeX
@misc{giang2026derivation,
title = {{Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity}},
author = {Trung Hieu Giang},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30445},
eprint = {2608.30445},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30445},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity
AU - Trung Hieu Giang
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30445
UR - https://arxiv.org/abs/2608.30445
AB - 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.
ER -