Published Paper

Inserted: 21 aug 2025
Last Updated: 30 apr 2026

Journal: Milan Journal of Mathematics
Pages: 30
Year: 2026
Doi: 10.1007/s00032-026-00433-7

Abstract:

We characterize the asymptotic behaviour, in the sense of 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 a model introduced by M. Bresciani, incorporating geometric effects due to vanishing curvature, which constitute the main novelty of the analysis.