Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity

Trung Hieu Giang

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arXiv · 2608.30445

Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity

Trung Hieu Giang

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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 $\Gamma$-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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Trung Hieu Giang. 2026-08-31. Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity. https://arxiv.org/abs/2608.30445

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