# misc

# teaching

- Slender structures (MEC 553), Ecole Polytechnique
- Petites classes de Fluides-structures (MEC 561), Ecole Polytechnique
- Petites classes de Mécanique des milieux continus (MEC 431), Ecole Polytechnique
- Tutorats de mécanique, EPSCI

# publications

My research interests are mainly nonlinear mechanics, buckling, rods, plates and shells theories## Analysis of necking based on a one-dimensional model

B. Audoly and J. W. Hutchinson. Journal of the Mechanics and Physics of Solids, to appear, 2015.

Derivation of a one-dimensional model describing the necking of prismatic solids, and analysis of the model. Both nonlinearly elastic materials displaying a maximum load on their traction curve, and elasto-plastic materials are studied.

## Untangling the mechanics and topology in the frictional response of long overhand elastic knots

## Liquid ropes: a geometrical model for thin viscous jet instabilities

## Dynamic curling of an Elastica: a nonlinear problem in elastodynamics solved by matched asymptotic expansions

B. Audoly, A. Callan-Jones, and P.-T. Brun. In D. Bigoni, editor, Extremely Deformable Structures, volume 562 of CISM International Centre for Mechanical Sciences, pages 137-155. Springer, 2015.

A detailed derivation of the solution for the dynamic curling of naturally curved, initially flat Elastica by matched asymptotic expansions, published in short form in Phys. Rev. Lett. (2012).

## Buckling of naturally curved elastic strips: the ribbon model makes a difference

## Introduction to the elasticity of rods

## "Wunderlich, meet Kirchhoff": A general and unified description of elastic ribbons and thin rods

## An introduction to the mechanics of the lasso

## Furrow constriction in animal cell cytokinesis

## Shapes of a suspended curly hair

## A non-linear rod model for folded elastic strips

## Solid drops: Large capillary deformations of immersed elastic rods

## A discrete geometric approach for simulating the dynamics of thin viscous threads

B. Audoly, N. Clauvelin, P.-T. Brun, M. Bergou, E. Grinspun, and M. Wardetzky. Journal of Computational Physics, 253:18-49, 2013.

Direct simulations of thin viscous jets including the effect of bending, twisting, inertia and surface tension by a geometric method. Validation on helical coiling and demos of the viscous sewing machine.

## Capillary buckling of a thin film adhering to a sphere

## A numerical investigation of the fluid mechanical sewing machine

## Self-similar curling of a naturally curved Elastica

## Discrete viscous sheets

## The shape of an elastic loop strongly bent by surface tension: experiments and comparison with theory

## Instant fabrication and selection of folded structures using drop impact

A. Antkowiak, B. Audoly, C. Josserand, S. Neukirch, and M. Rivetti. Proceedings of the National Academy of Sciences, 108(26):10400-10404, 2011

When a drop impacts on a thin target, it gets wrapped in a dynamic sequence. Slightly varying the impact parameters allows for shape selection of the final 3D structure.

## Linear and non-linear stability of floating viscous sheets

## Thin viscous sheets with inhomogeneous viscosity

## Localized buckling of a floating Elastica

B. Audoly, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 84(1), 2011

Analysis of the localization of buckling patterns for an Elastica floating on a bath of denser fluid, providing an interpretation of the experimental results of Pocivavsek et al. (Science, 2008)

## Discrete viscous threads

## Elasticity and geometry: from hair curls to the nonlinear response of shells (book)

B. Audoly and Y. Pomeau. Oxford University Press, 600 pages, july 2010

A book on the nonlinear elasticity of rods, plates and shells.

## Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non-trivial contact topology

N. Clauvelin, B. Audoly, and S. Neukirch. J. Mech. Phys. Sol. 57:1623-1656, 2009

Analytical calculation of the shape of knot on an elastic rod, including the effect of twist. Some experiments are presented.