The non-linear mechanics of slender deformable bodies

Basile Audoly

CNRS/Ecole polytechnique, Palaiseau

We discuss some challenges arising in the mechanics of slender (quasi-1D) deformable bodies, such as a thin thread of polymer, curly hair, or a carpenter's tape for example. Slender bodies can exhibit a number complex and intriguing behaviors that are accessible through simple experiments. The analysis of slender bodies exposes one to many of the fundamental concepts of 3D non-linear mechanics, albeit in a simpler setting where explicit analytical solutions and fast numerical methods can be proposed. Based on examples, we review some problems arising in the analysis of deformable bodies, including the derivation of accurate 1D mechanical models by dimensional reduction, the solution of non-linear 1D models by analytical or numerical methods, and the analysis of material or geometrical instabilities.



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The 10th CHAOS 2017 International Conference, Barcelona, Spain, 30 Mai 2017

The 23rd International Conference on Difference Equations and Applications - ICDEA 2017, West University of Timisoara, Romania, 24 Juillet 2017

Complex Motion in Fluids 2017, University of Cambridge, 24 Septembre 2017

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