Nonlinearly Elastic Maps: Energy Minimizing Configurations of Membranes on Prescribed Surfaces

We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in \(\mathbb{R}^3\). This is a physically correct model of the analogy sometimes given to motivate harmonic maps between manifolds. The proposed energy density functio...

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Veröffentlicht in:	arXiv.org 2024-05
Hauptverfasser:	Healey, Timothy J, Nair, Gokul G
Format:	Artikel
Sprache:	eng
Schlagworte:	Configurations Dirichlet problem Elastic deformation Equilibrium equations Membranes
Online-Zugang:	Volltext
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