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<p>We characterize the asymptotic behaviour, in the sense of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Γ</mi> </math></EquationSource> </InlineEquation>-convergence, of a thin magnetoelastic shallow shell. The compactness is achieved up to rigid motions. For deformations, it relies on an approximation by rigid movements, whereas for magnetizations it is based on a careful consideration of the geometry of the deformed domain. This result is a generalization of [<CitationRef CitationID="CR1">1</CitationRef>] by incorporating geometric effects due to vanishing curvature, which constitute the main novelty of the analysis.</p>

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Effective Theories for Incompressible Magnetoelastic Shallow Shells

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月28日

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  • Emanuele Tasso,
  • Tobias Unterberger

摘要

We characterize the asymptotic behaviour, in the sense of \(\Gamma \) Γ -convergence, of a thin magnetoelastic shallow shell. The compactness is achieved up to rigid motions. For deformations, it relies on an approximation by rigid movements, whereas for magnetizations it is based on a careful consideration of the geometry of the deformed domain. This result is a generalization of [1] by incorporating geometric effects due to vanishing curvature, which constitute the main novelty of the analysis.