Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter

Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter

We consider elastic thin shells without through-the-thickness shear and depict them as Gauss graphs of parametric surfaces. (We use the term shells to include plates and thin films therein.) We consider an energy depending on the first derivative of the Gauss map (so, it involves curvatures) and its...

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Bibliographic Details
Main Authors: Paolo Maria Mariano, Domenico Mucci
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:Mathematics in Engineering
Subjects:
shells
plates
thin films
curvature effects
geometric measure theory
gauss graphs
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023092?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mine.2023092?viewType=HTML

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