A. Dorfmann and R. W. Ogden, Magnetoelastic modelling of elastomers, European Journal of Mechanics - A/Solids, vol.22, issue.4, pp.497-507, 2003.
DOI : 10.1016/S0997-7538(03)00067-6

A. Dorfmann and R. W. Ogden, Nonlinear magnetoelastic deformations of elastomers , Acta Mech, pp.13-28, 2004.

R. Bustamante, A. Dorfmann, and R. W. Ogden, On Variational Formulations in Nonlinear Magnetoelastostatics, Mathematics and Mechanics of Solids, vol.13, issue.8, pp.725-745, 2008.
DOI : 10.1177/1081286507079832

R. Bustamante, A. Dorfmann, and R. W. Ogden, Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity, International Journal of Solids and Structures, vol.48, issue.6, pp.847-883, 2011.
DOI : 10.1016/j.ijsolstr.2010.11.021

S. V. Kankanala and N. Triantafyllidis, On finitely strained magnetorheological elastomers, Journal of the Mechanics and Physics of Solids, vol.52, issue.12, pp.2869-2908, 2004.
DOI : 10.1016/j.jmps.2004.04.007

M. R. Jolly, J. D. Carlson, and B. C. , A model of the behaviour of magnetorheological materials, Smart Materials and Structures, vol.5, issue.5, pp.607-614, 1996.
DOI : 10.1088/0964-1726/5/5/009

M. Barham, D. J. Steigmann, M. Mcelfresh, and R. E. Rudd, Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field, Acta Mechanica, vol.183, issue.1-2, pp.1-19, 2007.
DOI : 10.1007/s00707-007-0445-9

G. Gioia and R. D. James, Micromagnetics of very thin films, Proc. R. Soc. London A, p.453, 1997.
DOI : 10.1098/rspa.1997.0013

D. J. Steigmann, Equilibrium theory for magnetic elastomers and magnetoelastic membranes, International Journal of Non-Linear Mechanics, vol.39, issue.7, pp.1193-1216, 2004.
DOI : 10.1016/j.ijnonlinmec.2003.08.002

G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, Journal of Applied Mechanics, vol.56, issue.4, 1988.
DOI : 10.1115/1.3176205

D. J. Steigmann, A Concise Derivation of Membrane Theory from??Three-Dimensional Nonlinear Elasticity, Journal of Elasticity, vol.54, issue.79, pp.97-101, 2009.
DOI : 10.1007/s10659-009-9209-1
URL : https://hal.archives-ouvertes.fr/hal-00773265

M. E. Gurtin, An Introduction to Continuum Mechanics, Journal of Applied Mechanics, vol.51, issue.4, 1981.
DOI : 10.1115/1.3167763

C. Truesdell and R. Toupin, The Classical Field Theories, Handbuch der Physik, 1960.
DOI : 10.1007/978-3-642-45943-6_2

A. Desimone and P. Podio-guidugli, On the continuum theory of deformable ferromagnetic solids, Archive for Rational Mechanics and Analysis, vol.6, issue.3, 1996.
DOI : 10.1007/BF02206555

D. J. Steigmann, On the Formulation of Balance Laws for Electromagnetic Continua, Mathematics and Mechanics of Solids, vol.14, issue.4, pp.390-402, 2009.
DOI : 10.1177/1081286507080808
URL : https://hal.archives-ouvertes.fr/hal-00771740

A. Nobili and A. M. Tarantino, Magnetostriction of a Hard Ferromagnetic and Elastic Thin-Film Structure, Mathematics and Mechanics of Solids, vol.13, issue.2, pp.95-123, 2009.
DOI : 10.1177/1081286506073716

M. Barham, D. White, and D. J. Steigmann, Finite element modeling of the deformation of magnetoelastic film, Journal of Computational Physics, vol.229, issue.18, pp.6193-6207, 2010.
DOI : 10.1016/j.jcp.2010.04.007

R. D. James, Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever, Continuum Mech, Thermodyn, vol.14, pp.55-86, 2002.

R. J. Knops and E. W. Wilkes, Theory of Elastic Stability, Handbuch der Physik, 1963.
DOI : 10.1007/978-3-642-69569-8_2

R. W. Ogden, Non-linear Elastic Deformations, 1997.

Q. Zheng, Theory of Representations for Tensor Functions???A Unified Invariant Approach to Constitutive Equations, Applied Mechanics Reviews, vol.47, issue.11, pp.47-545, 1994.
DOI : 10.1115/1.3111066

R. W. Ogden, Waves in isotropic elastic materials of Hadamard, Green, or harmonic type, Journal of the Mechanics and Physics of Solids, vol.18, issue.2, pp.149-163, 1970.
DOI : 10.1016/0022-5096(70)90031-1

A. C. Pipkin, The Relaxed Energy Density for Isotropic Elastic Membranes, IMA Journal of Applied Mathematics, vol.36, issue.1, 1986.
DOI : 10.1093/imamat/36.1.85

E. Haseganu and D. J. Steigmann, Analysis of partly wrinkled membranes by the method of dynamic relaxation, Computational Mechanics, vol.45, issue.6, pp.596-614, 1994.
DOI : 10.1007/BF00350839

A. Atai and D. J. Steigmann, Coupled deformations of elastic curves and surfaces, International Journal of Solids and Structures, vol.35, issue.16, pp.1915-1952, 1998.
DOI : 10.1016/S0020-7683(97)00130-3

D. J. Steigmann, Eliza Haseganu's analysis of wrinkling in pressurized membranes Advances in the Mechanics of Solids, memory of E.M. Haseganu, pp.3-16, 2006.

D. J. Steigmann, Tension-Field Theory, Proc. R. Soc. Lond. A 429, pp.141-173, 1990.
DOI : 10.1098/rspa.1990.0055

S. A. Silling, Phase changes induced by deformation in isothermal elastic crystals, Journal of the Mechanics and Physics of Solids, vol.37, issue.3, pp.293-316, 1989.
DOI : 10.1016/0022-5096(89)90001-X

M. Taylor and D. J. Steigmann, Simulation of Laminated Thermoelastic Membranes, Journal of Thermal Stresses, vol.457, issue.5, pp.448-476, 2009.
DOI : 10.1080/01495730802637423

W. Hermann and L. D. Bertholf, Explicit Lagrangian finite-difference methods, Computational Methods for Transient Analysis, pp.361-416, 1983.

P. Underwood, Dynamic relaxation Computational Methods for Transient Analysis, pp.245-265, 1983.

S. V. Kankanala and N. Triantafyllidis, Magnetoelastic buckling of a rectangular block in plane strain, Journal of the Mechanics and Physics of Solids, vol.56, issue.4, pp.1147-1169, 2008.
DOI : 10.1016/j.jmps.2007.10.008
URL : https://hal.archives-ouvertes.fr/hal-00870865

M. Barham, D. J. Steigmann, M. Mcelfresh, and R. E. Rudd, Limit-point instability of a magnetoelastic membrane in a stationary magnetic field, Smart Materials and Structures, vol.17, issue.5, pp.17-23, 2008.
DOI : 10.1088/0964-1726/17/5/055003