J. Aldinger, I. Klapper, and M. Tabor, Formulae for the calculation and estimation of writhe, Journal of Knot theory and Its Ramifications, vol.4, pp.343-372, 1995.

B. Audoly and Y. Pomeau, Elasticity and geometry: from hair curls to the nonlinear response of shells, 2010.

B. Audoly, N. Clauvelin, P. Brun, M. Bergou, E. Grinspun et al., A discrete geometric approach for simulating the dynamics of thin viscous threads, Journal of Computational Physics, vol.253, pp.18-49, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01667036

A. B. Basset, On the deformation of thin elastic wires, American Journal of Mathematics, vol.17, pp.281-317, 1895.

M. Bergou, M. Wardetzky, S. Robinson, B. Audoly, and E. Grinspun, Discrete elastic rods, ACM transactions on graphics, vol.27, p.63, 2008.

M. Bergou, B. Audoly, E. Vouga, M. Wardetzky, and E. Grinspun, Discrete viscous threads, ACM Transactions on Graphics, vol.29, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01898149

K. Bertoldi, V. Vitelli, J. Christensen, and M. Van-hecke, Flexible mechanical metamaterials, Nature Reviews Materials, vol.2, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02118057

P. Betsch and P. Steinmann, Frame-indi?erent beam finite elements based upon the geometrically exact beam theory, International Journal for Numerical Methods in Engineering, vol.54, pp.1775-1788, 2002.

M. A. Biot, Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena, Journal of Applied Physics, vol.25, pp.1385-1391, 1954.
URL : https://hal.archives-ouvertes.fr/hal-01368658

A. Cardona and M. Geradin, A beam finite element non-linear theory with finite rotations, International Journal for Numerical Methods in Engineering, vol.26, pp.2403-2438, 1988.

J. T. Coulais, L. A. Overvelde, K. Lubbers, M. Bertoldi, and . Van-hecke, Discontinuous buckling of wide beams and metabeams, Phys. Rev. Lett, vol.115, p.44301, 2015.

M. A. Crisfield, A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements, Computer Methods in Applied Mechanics and Engineering, vol.81, issue.2, pp.131-150, 1990.

M. A. Crisfield and G. Jeleni?, Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation, Proc. R. Soc. A, vol.455, p.11251147, 1998.

V. Renko-de, Evaluating changes of writhe in computer simulations of supercoiled DNA, The Journal of Chemical Physics, vol.122, p.64905, 2005.

J. Doedel, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov, B. Sandstede et al., AUTO-07p: continuation and bifurcation software for ordinary di?erential equations, 2007.

S. R. Eugster, C. Hesch, P. Betsch, and C. Glocker, Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates, International Journal for Numerical Methods in Engineering, vol.97, pp.111-119, 2014.

B. B. Fuller-;-f and . Fuller, Decomposition of the linking number of a closed ribbon : A problem from molecular biology, Proc. Natl. Acad. Sci. U.S.A, vol.68, pp.3557-3561, 1971.

M. Gazzola, L. H. Dudte, A. G. Mccormick, and L. Mahadevan, Forward and inverse problems in the mechanics of soft filaments, Royal Society Open Science, vol.5, 2018.

A. S. Gladman, E. A. Matsumoto, R. G. Nuzzo, L. Mahdevan, and J. A. Lewis, Biomimetic 4D printing, Nature Materials, vol.15, pp.413-419, 2016.

M. Gomez, D. E. Moulton, and D. Vella, Critical slowing down in purely elastic 'snap-through' instabilities, Nature Physics, vol.13, pp.142-145, 2017.

M. Gomez, D. E. Moulton, and D. Vella, Dynamics of viscoelastic snap-through, Journal of the Mechanics and Physics of Solids, vol.124, pp.781-813, 2019.

B. Halphen, Q. S. Nguyen, R. Hu, and . Burgueño, Buckling-induced smart applications: recent advances and trends, Smart Materials and Structures, vol.14, p.63001, 1975.

A. Ibrahimbegovi?, On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements, Computer Methods in Applied Mechanics and Engineering, vol.122, pp.11-26, 1995.

J. A. Jackson, M. C. Messner, N. A. Dudukovic, W. L. Smith, L. Bekker et al., Field responsive mechanical metamaterials. Science Advances, 4, 2018.

M. K. Jawed, F. Da, J. Joo, E. Grinspun, and P. Reis, Coiling of elastic rods on rigid substrates, Primer on the Kinematics of Discrete Elastic Rods, 2017.

S. Jung, J. Leyendecker, M. Linn, and . Ortiz, A discrete mechanics approach to the cosserat rod theory -part 1: static equilibria, International Journal for Numerical Methods in Engineering, vol.85, pp.31-60, 2011.

D. M. Kaufman, R. Tamstorf, B. Smith, J. Aubry, and E. Grinspun, Adaptive nonlinearity for collisions in complex rod assemblies, ACM Trans. on Graphics, 2014.

M. L. Merrer, J. Seiwert, C. Quéré, and . Clanet, Shapes of hanging viscous filaments, Europhysics Letters, vol.84, p.56004, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01022804

J. T. Miller, A. Lazarus, B. Audoly, and P. M. Reis, Shapes of a suspended curly hair, Physical Review Letters, vol.112, p.68103, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01447357

M. Ortiz and L. Stainier, The variational formulation of viscoplastic constitutive updates, Computer Methods in Applied Mechanics and Engineering, vol.171, pp.419-444, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01007379

M. R. Shankar, M. L. Smith, V. P. Tondiglia, K. M. Lee, M. E. Mcconney et al., Contactless, photoinitiated snap-through in azobenzene-functionalized polymers, vol.110, pp.18792-18797, 2013.

J. Shen, W. Huang, H. Chen, and . Bao, Geometrically exact simulation of inextensible ribbon, Computer Graphics Forum, vol.34, pp.145-154, 2015.

J. C. Simo, A finite strain beam formulation. the three-dimensional dynamic problem. Part I, Computer Methods in Applied Mechanics and Engineering, vol.49, pp.55-70, 1985.

J. C. Simo and L. Vu-quoc, A three-dimensional finite-strain rod model. Part II: Computational aspects, Computer Methods in Applied Mechanics and Engineering, vol.58, pp.79-116, 1986.

V. Sonneville, A. Cardona, and O. Brüls, Geometrically exact beam finite element formulated on the special euclidean group SE(3), Computational Methods Appl. Mech. Engrg, vol.268, pp.451-474, 2014.

M. Wagner, T. Chen, and K. Shea, Large shape transforming 4D auxetic structures, 3D Printing and Additive Manufacturing, vol.4, pp.133-141, 2017.