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Dynamics of a developable shell with uniform curvatures

Alejandro Blumentals 1 Florence Bertails-Descoubes 1 Romain Casati 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
Abstract : Many surface-like objects around us such as leaves, garments, or boat sails, may easily bend but hardly stretch. One is thus faced with the need for numerical models able to handle inextensibility constraints properly. In the present work we restrict ourselves to the modeling of elastic developable surfaces, i.e., surfaces which always remain isometric to a planar configuration. Our surfaces of interest may however take a non-planar rest configuration, hence we shall model them as developable thin elastic shells. Our goal is to design a both robust and efficient discrete model for simulating the motion of such objects. This work presents a first step towards this direction, by introducing a perfectly inextensible patch for a developable thin elastic shell.
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Submitted on : Wednesday, May 4, 2016 - 2:04:39 PM
Last modification on : Tuesday, February 9, 2021 - 3:20:05 PM
Long-term archiving on: : Tuesday, November 15, 2016 - 7:57:31 PM

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Alejandro Blumentals, Florence Bertails-Descoubes, Romain Casati. Dynamics of a developable shell with uniform curvatures. The 4th Joint International Conference on Multibody System Dynamics, May 2016, Montréal, Canada. ⟨hal-01311559⟩

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