Basile Audoly

Contact info:
audoly_[a]_lmm_POINT_jussieu_POINT_fr
tel +33 1 44 27 87 21
fax +33 1 44 27 52 59
IJLRDA — UPMC — 4 place Jussieu — F-75005 Paris

I am a researcher at the CNRS (chargé de recherches), working at the Institut de mécanique d'Alembert (University Paris 6). I am also teaching as a Professeur chargé de cours à temps partiel à l'Ecole polytechnique

Teaching

Publications

My research interests are mainly nonlinear mechanics, buckling, rods, plates and shells theories

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. Sold. (in press)

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


Elasticity and electrostatics of plectonemic DNA

N. Clauvelin, B. Audoly, and S. Neukirch. Biophysical Journal, 2009 (in press)

Calculation of loading curves of single-molecule DNA under twist, including electrostatic interactions. Comparison with experiments are shown.


Mechanical response of plectonemic DNA: An analytical solution

N. Clauvelin, B. Audoly, and S. Neukirch. Macromolecules, 2008

A mechanical model for interpreting the loading curves of single-molecule DNA experiments under twist. Interactions are described by a hard-core potentiel.


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

B. Audoly and Y. Pomeau. Oxford University Press, 2009 (to appear)

A book on nonlinear elasticity


Discrete elastic rods

M. Bergou, M. Wardetzky, S. Robinson, B. Audoly, and E. Grinspun. ACM Transactions on Graphics (SIGGRAPH), 2008

A discretization of the equations for elastic rods based on ideas from discrete differential geometry


Law of spreading of the crest of a breaking wave

Y. Pomeau, T. Jamin, M. Le Bars, P. Le Gal, and B. Audoly. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008

How does a breaking wave spread laterally?


Buckling of a thin film bound to a compliant substrate (part 1). Formulation, linear stability of cylindrical patterns, secondary bifurcations

B. Audoly and A. Boudaoud. Journal of the Mechanics and Physics of Solids, 56(7):2401–2421, 2008

Buckling of a stiff film bound to a compliant substrate: analysis near buckling threshold


Buckling of a thin film bound to a compliant substrate (part 2). A global scenario for the formation of herringbone pattern

B. Audoly and A. Boudaoud. Journal of the Mechanics and Physics of Solids, 56(7):2422—2443, 2008.

—: a simple buckling model for studying the emergence of herringbone patterns


Buckling of a thin film bound to a compliant substrate (part 3). Herringbone solutions at large buckling parameter

B. Audoly and A. Boudaoud. Journal of the Mechanics and Physics of Solids, 56(7):2444—2458, 2008

—: analytical solutions describing herringbone patterns, based on Miura-ori (origami) construction


Elastic knots

B. Audoly, N. Clauvelin, and S. Neukirch. Physical Review Letters, 99(16):164301, 2007

The shape of a loose elastic knot


Super-helices for predicting the dynamics of natural hair

F. Bertails, B. Audoly, M.-P. Cani, B. Querleux, F. Leroy, and J.-L. Lévêque. Super-helices for predicting the dynamics of natural hair. In ACM Transactions on Graphics (SIGGRAPH'06), pages 1180–1187, August 2006

A mechanical model for simulating dynamic hair motion


Fragmentation of rods by cascading cracks: Why spaghetti does not break in half

B. Audoly and S. Neukirch. Physical Review Letters, 95(9):095505, 200

Title says all


Cracks in thin sheets: When geometry rules the fracture path

B. Audoly, P. M. Reis, and B. Roman. Physical Review Letters, 95:025502, 2005

Try to tear through a plastic sheet using a blunt tool and you'll get nice oscillations


Predicting natural hair shapes by solving the statics of flexible rods

F. Bertails, B. Audoly, B. Querleux, F. Leroy, J.-L. Lévêque, and M.-P. Cani. In J. Dingliana and F. Ganovelli, editors, Eurographics (short papers), Dublin (IR). Eurographics, August 2005

A mechanical model for simulating human hair: static case


Oscillatory fracture paths in thin elastic sheets

B. Roman, P. M. Reis, B. Audoly, S. De Villiers, V. Viguie, and D. Vallet. Comptes Rendus Mecanique, 331(12):811–816, 2003

Cutting through plastic (preliminary model)


Self-similar structures near boundaries in strained systems

B. Audoly and A. Boudaoud. Phys. Rev. Lett., 91(8):086105, Aug 2003

Try tearing a piece of garbage bag and you'll get fractal wrinkles


Correlation functions for inhomogeneous magnetic field in random media with application to a dense random pack of spheres

B. Audoly, P. N. Sen, S. Ryu, and Y. Q. Song. Journal of Magnetic Resonance, 164(1):154–159, 2003

What can we knot about a porous medium from its NMR signature?


‘Ruban à godets’: an elastic model for ripples in plant leaves

B. Audoly and A. Boudaoud. Comptes Rendus Mecanique, 330(12):831–836, 2002

Bend a Slinky so that it looks like the edge of a salad leaf


The elastic torus: anomalous stiffness of shells with mixed type

B. Audoly and Y. Pomeau. Comptes Rendus Mecanique, 330(6):425–432, 2002

Why an elastic torus is really weak


Secondary buckling patterns of a thin plate under in-plane compression

B. Audoly, B. Roman, and A. Pocheau. The European Physical Journal B, 27:7–10, 2002

Nonlinear analysis and experiments on the buckling of an elastic strip


Asymptotic study of the interfacial crack with friction

B. Audoly. Journal of the Mechanics and Physics of Solids, 48(9):1851–1864, 2000

Memory effects and weak singularities in an interfacial crack with Coulomb friction


Mode-dependent toughness and the delamination of compressed thin films

B. Audoly. Journal of the Mechanics and Physics of Solids, 48(11):2315–2332, 2000

What sets the size of a delamination blister?


Réaction-diffusion en écoulement stationnaire rapide

B. Audoly, H. Berestycki, and Y. Pomeau. Comptes Rendus de l’Academie des Sciences - Series IIB - Mechanics-Physics-Astronomy, 328(3):255–262, 2000

A very simple model for flame propagation in a turbulent medium


Elasticity and geometry (Chapter in book)

B. Audoly and Y. Pomeau. In R. Kaiser and J. Montaldi, editors, Peyresq Lecture Notes on Nonlinear Phenomena, chapter 1, pages 1–35. World Scientific, 2000

An introduction to the theory of plates


Stability of straight delamination blisters

B. Audoly. Physical Review Letters, 83(20):4124–4127, Nov 1999

Telephone-cord delamination can be understood as the result of a secondary buckling instability


Rigidifying curves on surfaces

B. Audoly. Comptes Rendus de l’Academie des Sciences - Series I - Mathematics, 328(4):313–316, 1999

A class of curves that can make a surface rigid

PhD thesis

Elasticité et géométrie : de la rigidité des surfaces à la délamination en fil de téléphone

B. Audoly. PhD thesis, Ecole normale supérieure, University Paris VI, Paris, France, Jan 2000