N. Jacques, A. Elias, M. Potier-ferry, and H. Zahrouni, Buckling and wrinkling during strip conveying in processing lines, Journal of Materials Processing Technology, vol.190, issue.1-3, pp.33-40, 2007.
DOI : 10.1016/j.jmatprotec.2007.03.117
URL : https://hal.archives-ouvertes.fr/hal-00455500

N. Damil and M. Potier-ferry, Influence of local wrinkling on membrane behaviour: A new approach by the technique of slowly variable Fourier coefficients, Journal of the Mechanics and Physics of Solids, vol.58, issue.8, pp.1139-1153, 2010.
DOI : 10.1016/j.jmps.2010.04.002

H. Hu, S. Belouettar, M. Potier-ferry, and A. , Makradi, A novel finite element for global and local buckling analysis of sandwich beams, Composite Structures, pp.90-270, 2009.
DOI : 10.1016/j.compstruct.2009.02.002

Y. Liu, K. Yu, H. Hu, S. Belouettar, M. Potier-ferry et al., A new Fourier-related double scale analysis for instability phenomena in sandwich structures, International Journal of Solids and Structures, vol.49, issue.22, pp.3077-3088, 2012.
DOI : 10.1016/j.ijsolstr.2012.06.005
URL : https://doi.org/10.1016/j.ijsolstr.2012.06.005

S. Drapier, J. C. Grandidier, and M. , A structural approach of plastic microbuckling in long fibre composites: comparison with theoretical and experimental results, International Journal of Solids and Structures, vol.38, issue.22-23, pp.3877-3904, 2001.
DOI : 10.1016/S0020-7683(00)00247-X

H. Mei, R. Huang, J. Y. Chung, C. M. Stafford, and H. H. Yu, Buckling modes of elastic thin films on elastic substrates, Applied Physics Letters, vol.90, issue.15, p.151902, 2007.
DOI : 10.1023/A:1013790232359
URL : http://imechanica.org/files/BW_transition v5.pdf

C. M. Stafford, C. Harrison, K. L. Beers, A. Karim, E. J. Amis et al., A buckling-based metrology for measuring the elastic moduli of polymeric thin films, Nature Materials, vol.33, issue.8, pp.545-550, 2004.
DOI : 10.1021/ma001298g

J. Y. Chung, A. J. Nolte, and C. M. Stafford, Surface Wrinkling: A Versatile Platform for Measuring Thin-Film Properties, Advanced Materials, vol.3, issue.3, pp.349-368, 2011.
DOI : 10.1039/b712706e

D. H. Kim and J. A. Rogers, Stretchable Electronics: Materials Strategies and Devices, Stretchable Electronics: Materials Strategies and Devices, pp.4887-4892, 2008.
DOI : 10.1557/mrs2005.2

N. Bowden, S. Brittain, A. G. Evans, J. W. Hutchinson, and G. M. Whitesides, Spontaneous formation of ordered structures in thin filmsofmetals supported on an elastomeric polymer, Nature, vol.393, pp.146-149, 1998.

Y. W. Wong and S. Pellegrino, Wrinkled membranes part I: Experiments, Journal of Mechanics of Materials and Structures, vol.1, pp.1-23, 2006.
DOI : 10.2140/jomms.2006.1.3
URL : http://msp.org/jomms/2006/1-1/jomms-v1-n1-p02-s.pdf

C. G. Wang, X. W. Du, H. F. Tan, and X. D. He, A new computational method for wrinkling analysis of gossamer space structures, International Journal of Solids and Structures, vol.46, issue.6, pp.1516-1526, 2009.
DOI : 10.1016/j.ijsolstr.2008.11.018
URL : https://doi.org/10.1016/j.ijsolstr.2008.11.018

Y. Lecieux and R. Bouzidi, Experimental analysis on membrane wrinkling under biaxial load ??? Comparison with bifurcation analysis, International Journal of Solids and Structures, vol.47, issue.18-19, pp.2459-2475, 2010.
DOI : 10.1016/j.ijsolstr.2010.05.005
URL : https://hal.archives-ouvertes.fr/hal-01006831

V. Nayyar, K. Ravi-chandar, and R. Huang, Stretch-induced wrinkling of polyethylene thin sheets: Experiments and modeling, International Journal of Solids and Structures, vol.51, issue.9, pp.1847-1858, 2014.
DOI : 10.1016/j.ijsolstr.2014.01.028
URL : https://doi.org/10.1016/j.ijsolstr.2014.01.028

Y. W. Wong and S. Pellegrino, Wrinkled membranes III: numerical simulations, Journal of Mechanics of Materials and Structures, vol.1, issue.1, pp.63-95, 2006.
DOI : 10.1016/0045-7949(85)90111-7
URL : http://msp.org/jomms/2006/1-1/jomms-v1-n1-p04-s.pdf

Y. Lecieux and R. Bouzidi, Numerical wrinkling prediction of thin hyperelastic structures by direct energy minimization, Advances in Engineering Software, vol.50, pp.57-68, 2012.
DOI : 10.1016/j.advengsoft.2012.02.010
URL : https://hal.archives-ouvertes.fr/hal-01007136

T. J. Healey, Q. Li, and R. B. Cheng, Wrinkling Behavior of Highly Stretched Rectangular Elastic Films via Parametric Global Bifurcation, Journal of Nonlinear Science, vol.111, issue.79, pp.777-805, 2013.
DOI : 10.1007/978-1-4612-3736-5

J. E. Wesfreid and S. Zaleski, Cellular Structures in instabilities, Lecture Notes in Physics, vol.210, 1984.
DOI : 10.1007/3-540-13879-X

N. Damil and M. , A generalized continuum approach to describe instability pattern formation by a multiple scale analysis, Comptes Rendus M??canique, vol.334, issue.11, pp.674-678, 2006.
DOI : 10.1016/j.crme.2006.09.002

N. Damil and M. , A generalized continuum approach to predict local buckling patterns of thin structures, European Journal of Computational Mechanics, vol.1, issue.1, pp.945-956, 2008.
DOI : 10.2140/jomms.2006.1.3

S. Forest and K. Sab, Cosserat overall modeling of heterogeneous materials, Mechanics Research Communications, vol.25, issue.4, pp.449-454, 1998.
DOI : 10.1016/S0093-6413(98)00059-7

V. Kouznetsova, M. G. Geers, and W. A. Brekelmans, Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.48-51, pp.5525-5550, 2004.
DOI : 10.1016/j.cma.2003.12.073

A. Newell and J. Whitehead, Finite bandwidth, finite amplitude convection, Journal of Fluid Mechanics, vol.39, issue.02, pp.279-303, 1969.
DOI : 10.1002/sapm1967461133

L. Segel, Distant side-walls cause slow amplitude modulation of cellular convection, Journal of Fluid Mechanics, vol.21, issue.01, pp.203-224, 1969.
DOI : 10.1063/1.1691940

M. C. Cross and P. C. Hohenberg, Pattern formation outside of equilibrium, Reviews of Modern Physics, vol.1, issue.4, pp.851-1112, 1993.
DOI : 10.1209/0295-5075/6/6/006
URL : https://authors.library.caltech.edu/2671/1/CROrmp93.pdf

J. C. Amazigo, B. Budiansky, and G. Carrier, Asymptotic analyses of the buckling of imperfect columns on nonlinear elastic foundations, International Journal of Solids and Structures, vol.6, issue.10, pp.1341-1356, 1970.
DOI : 10.1016/0020-7683(70)90067-3

Y. Pomeau and S. Zaleski, Wavelength selection in one-dimensional cellular structures, Journal de Physique, vol.358, issue.A, pp.515-528, 1981.
DOI : 10.1051/jphyslet:019790040023060900
URL : https://hal.archives-ouvertes.fr/jpa-00209037

M. Potier-ferry, Amplitude modulation, phase modulation and localization of buckling patterns, Collapse: the Buckling of Structure in Theory and Practice, pp.148-159, 1983.

N. Damil and M. Potier-ferry, Wavelength selection in the postbuckling of a long rectangular plate, International Journal of Solids and Structures, vol.22, issue.5, pp.511-526, 1986.
DOI : 10.1016/0020-7683(86)90042-9

J. C. Amazigo and W. B. Fraser, Buckling under external pressure of cylindrical shells with dimple shaped initial imperfections, International Journal of Solids and Structures, vol.7, issue.8, pp.883-900, 1971.
DOI : 10.1016/0020-7683(71)90070-9

R. Abdelmoula, N. Damil, and M. , Influence of distributed and localized imperfections on the buckling of cyindrical shells under external pressure, International Journal of Solids and Structures, vol.29, issue.1, pp.1-25, 1992.
DOI : 10.1016/0020-7683(92)90092-8

X. Chen and J. W. Hutchinson, Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates, Journal of Applied Mechanics, vol.14, issue.5, pp.597-603, 2004.
DOI : 10.1115/1.1756141

S. Wang, J. Song, D. H. Kim, Y. Huang, and J. A. Rogers, Local versus global buckling of thin films on elastomeric substrates, Applied Physics Letters, vol.93, issue.2, p.23126, 2008.
DOI : 10.1063/1.2828050

B. Audoly and A. Boudaoud, Buckling of a stiff film bound to a compliant substrate???Part II:, Journal of the Mechanics and Physics of Solids, vol.56, issue.7, pp.2422-2443, 2008.
DOI : 10.1016/j.jmps.2008.03.002

S. Sridharan and M. Zeggane, Stiffened plates and cylindrical shells under interactive buckling, Finite Elements in, Analysis and Design, vol.38, pp.155-178, 2001.
DOI : 10.1007/978-94-011-5476-5_16

L. Léotoing, S. Drapier, and A. Vautrin, Nonlinear interaction of geometrical and material properties in sandwich beam instabilities, International Journal of Solids and Structures, vol.39, issue.13-14, pp.3717-3739, 2002.
DOI : 10.1016/S0020-7683(02)00181-6

Y. W. Wong and S. Pellegrino, Wrinkled membranes part II: Analytical models, Journal of Mechanics of Materials and Structures, vol.1, pp.25-59, 2006.
DOI : 10.2140/jomms.2006.1.27
URL : http://msp.org/jomms/2006/1-1/jomms-v1-n1-p03-s.pdf

N. Damil and M. , A New method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures, International Journal of Engineering Science, vol.28, issue.9, pp.943-957, 1990.
DOI : 10.1016/0020-7225(90)90043-I

H. Zahrouni, B. Cochelin, and M. Potier-ferry, Computing finite rotations of shells by an asymptotic-numerical method, Computer Methods in Applied Mechanics and Engineering, vol.175, issue.1-2, pp.71-85, 1999.
DOI : 10.1016/S0045-7825(98)00320-X

J. M. Cadou, B. Cochelin, N. Damil, and M. Potier-ferry, ANM for stationary Navier-Stokes equations and with Petrov-Galerkin formulation, International Journal for Numerical Methods in Engineering, vol.108, issue.4, pp.825-845, 2001.
DOI : 10.1115/1.3242562

K. Yu, H. Hu, H. Y. Tang, G. Giunta, M. Potier-ferry et al., A novel two-dimensional finite element to study the instability phenomena of sandwich plates, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.1117-1137, 2015.
DOI : 10.1016/j.cma.2014.08.006
URL : https://hal.archives-ouvertes.fr/hal-01513861

H. Wagner, Flat sheet metal girders with very thin metal web, Zeitschrift fur Flugtechnik Motorluftschiffahrt, vol.20, pp.200-314, 1929.

M. Stein and J. M. Hedgepeth, Analysis of partly wrinkled membranes

X. Liu, C. H. Jenkins, and W. W. Schur, Large deflection analysis of pneumatic envelopes using a penalty parameter modified material model, Finite Elements in, Analysis and Design, vol.37, pp.233-251, 2001.
DOI : 10.1016/s0168-874x(00)00040-8

R. Rossi, M. Lazzari, R. Vitaliani, and E. Oñate, Simulation of light-weight membrane structures by wrinkling model, International Journal for Numerical Methods in Engineering, vol.7, issue.5/6, pp.2127-2153, 2005.
DOI : 10.1002/nme.832

A. Jarasjarungkiat, R. Wüchner, and K. U. Bletzinger, A wrinkling model based on material modification for isotropic and orthotropic membranes, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.773-788, 2008.
DOI : 10.1016/j.cma.2007.09.005

D. G. Roddeman, C. W. Oomens, J. D. Janssen, and J. Drukker, The Wrinkling of Thin Membranes: Part I???Theory, Journal of Applied Mechanics, vol.54, issue.4, pp.884-887, 1987.
DOI : 10.1115/1.3173133

D. G. Roddeman, C. W. Oomens, J. D. Janssen, and J. Drukker, The Wrinkling of Thin Membranes: Part II???Numerical Analysis, Journal of Applied Mechanics, vol.54, issue.4, pp.888-892, 1987.
DOI : 10.1115/1.3173134

Y. Miyazaki, Wrinkle/slack model and finite element dynamics of membrane, International Journal for Numerical Methods in Engineering, vol.218, issue.7, pp.1179-1209, 2006.
DOI : 10.1002/nme.1588

T. Akita, K. Nakashino, M. C. Natori, and K. C. Park, A simple computer implementation of membrane wrinkle behaviourvia a projection technique, International Journal for Numerical Methods in Engineering, vol.66, issue.10, pp.1231-1259, 2007.
DOI : 10.1017/CBO9780511574511

A. Shaw and D. Roy, Analyses of wrinkled and slack membranes through an error reproducing mesh-free method, International Journal of Solids and Structures, vol.44, issue.11-12, pp.3939-3972, 2007.
DOI : 10.1016/j.ijsolstr.2006.11.003
URL : https://doi.org/10.1016/j.ijsolstr.2006.11.003

N. A. Pimprikar, B. Banerjee, D. Roy, R. M. Vasu, and S. R. Reid, New computational approaches for wrinkled and slack membranes, International Journal of Solids and Structures, vol.47, issue.18-19, pp.47-2476, 2010.
DOI : 10.1016/j.ijsolstr.2010.05.004
URL : https://doi.org/10.1016/j.ijsolstr.2010.05.004

B. Banerjee, A. Shaw, and D. Roy, The theory of Cosserat points applied to the analyses of wrinkled and slack membranes, Computational Mechanics, vol.45, issue.11???12, pp.43-415, 2009.
DOI : 10.1115/1.3424357

F. G. Flores and E. Oñate, Wrinkling and folding analysis of elastic membranes using an enhanced rotation-free thin shell triangular element, Finite Elements in, Analysis and Design, vol.47, pp.982-990, 2011.
DOI : 10.1016/j.finel.2011.03.014

N. Damil, M. Potier-ferry, and H. Hu, New nonlinear multi-scale models for wrinkled membranes, Comptes Rendus M??canique, vol.341, issue.8, pp.616-624, 2013.
DOI : 10.1016/j.crme.2013.06.001

N. Damil, M. Potier-ferry, and H. Hu, Membrane wrinkling revisited from a multiscale point of view, Advanced Modeling and Simulation in Engineering Sciences, vol.1, issue.6, 2014.
DOI : 10.1186/2213-7467-1-6
URL : https://hal.archives-ouvertes.fr/hal-01515214

N. Friedl, F. G. Rammerstorfer, and F. D. Fischer, Buckling of stretched strips, Computers & Structures, vol.78, issue.1-3, pp.185-190, 2000.
DOI : 10.1016/S0045-7949(00)00072-9

N. Jacques and M. Potier-ferry, On mode localisation in tensile plate buckling, Comptes Rendus M??canique, vol.333, issue.11, pp.804-809, 2005.
DOI : 10.1016/j.crme.2005.10.013
URL : https://hal.archives-ouvertes.fr/hal-00455508

K. Mhada, B. Braikat, H. Hu, N. Damil, and M. Potier-ferry, About macroscopic models of instability pattern formation, International Journal of Solids and Structures, vol.49, issue.21, pp.2978-2989, 2012.
DOI : 10.1016/j.ijsolstr.2012.05.033
URL : https://doi.org/10.1016/j.ijsolstr.2012.05.033

B. Cochelin, N. Damil, and M. Potier-ferry, Asymptotic-numerical methods and Pade approximants for non-linear elastic structures, International Journal for Numerical Methods in Engineering, vol.5, issue.7, pp.1187-1213, 1994.
DOI : 10.1007/978-3-642-81589-8_5

E. Cerda and L. Mahadevan, Geometry and Physics of Wrinkling, Physical Review Letters, vol.183, issue.185, pp.1-4, 2003.
DOI : 10.1126/science.287.5457.1468
URL : http://www.seas.harvard.edu/softmat/downloads/2003-03.pdf

H. Hu, N. Damil, and M. , A bridging technique to analyze the influence of boundary conditions on instability patterns, Journal of Computational Physics, vol.230, issue.10, pp.3753-3764, 2011.
DOI : 10.1016/j.jcp.2011.01.044

K. Yu, H. Hu, S. Y. Chen, S. Belouettar, and M. , Potier-Ferry, Multi-scale techniques to analyze instabilities in sandwich structures, Composite Structures, pp.96-751, 2013.
DOI : 10.1016/j.compstruct.2012.10.007

H. and B. Dhia, Multiscale mechanical problems: the Arlequin method, Comptes Rendus de l, Académie des Sciences IIb, pp.899-904, 1998.

H. and B. Dhia, Global-local approaches: the Arlequin framework, European Journal of Computational Mechanics, vol.148, issue.2, pp.67-80, 2006.
DOI : 10.1016/S0045-7825(96)01106-1

H. Hu, S. Belouettar, M. Potier-ferry, E. M. Daya, and A. Makradi, Multi-scale nonlinear modelling of sandwich structures using the Arlequin method, Composite Structures, vol.92, issue.2, pp.92-515, 2010.
DOI : 10.1016/j.compstruct.2009.08.051

Z. Y. Huang, W. Hong, and Z. Suo, Nonlinear analyses of wrinkles in a film bonded to a compliant substrate, Journal of the Mechanics and Physics of Solids, vol.53, issue.9, pp.2101-2118, 2005.
DOI : 10.1016/j.jmps.2005.03.007

C. Harrison, C. M. Stafford, W. Zhang, and A. Karim, Sinusoidal phase grating created by a tunably buckled surface, Applied Physics Letters, vol.383, issue.18, pp.4016-4018, 2004.
DOI : 10.1016/S0378-4371(01)00209-6

J. A. Rogers, T. Someya, and Y. Huang, Materials and Mechanics for Stretchable Electronics, Materials and Mechanics for Stretchable Electronics, pp.1603-1607, 2010.
DOI : 10.1089/neu.2008.0810
URL : http://rogers.matse.illinois.edu/files%5C2010%5Csciencerev.pdf

H. G. Allen, Analysis and Design of Structural Sandwich Panels, 1969.

K. Niu and R. Talreja, Modeling of Wrinkling in Sandwich Panels under Compression, Journal of Engineering Mechanics, vol.125, issue.8, pp.875-883, 1999.
DOI : 10.1061/(ASCE)0733-9399(1999)125:8(875)

. Koh, Buckling of a stiff thin film on a compliant substrate in large deformation, International Journal of Solids and Structures, vol.45, pp.3107-3121, 2008.

H. Mei, C. M. Landis, and R. Huang, Concomitant wrinkling and buckle-delamination of elastic thin films on compliant substrates, Mechanics of Materials, vol.43, issue.11, pp.627-642, 2011.
DOI : 10.1016/j.mechmat.2011.08.003

F. Brau, H. Vandeparre, A. Sabbah, C. Poulard, A. Boudaoud et al., Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators, Nature Physics, vol.23, issue.1, pp.56-60, 2011.
DOI : 10.1119/1.13798
URL : https://dipot.ulb.ac.be/dspace/bitstream/2013/232795/3/2011-period-doubling.pdf

J. W. Hutchinson, The role of nonlinear substrate elasticity in the wrinkling of thin films, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.453, issue.1965, 2013.
DOI : 10.1098/rspa.1997.0112

M. Shariyat and K. Asemi, 3D energy-based finite element elasticity approach for shear postbuckling analysis of functionally graded plates on elastic foundations, Composite Structures, vol.152, pp.579-591, 2016.
DOI : 10.1016/j.compstruct.2016.05.057

J. N. Reddy, A Simple Higher-Order Theory for Laminated Composite Plates, Journal of Applied Mechanics, vol.51, issue.4, pp.745-752, 1984.
DOI : 10.1115/1.3167719

P. Vidal and O. Polit, A family of sinus finite elements for the analysis of rectangular laminated beams, Composite Structures, vol.84, issue.1, pp.56-72, 2008.
DOI : 10.1016/j.compstruct.2007.06.009
URL : https://hal.archives-ouvertes.fr/hal-01366937

. Zenkour, Analysis of thick isotropic and cross-ply laminated plates by Generalized Differential Quadrature Method and a unified formulation, Composites Part B: Engineering, vol.58, pp.544-552, 2014.

F. Tornabene, N. Fantuzzi, E. Viola, and A. J. Ferreira, Radial basis function method applied to doubly-curved laminated composite shells and panels with a General Higher-order Equivalent Single Layer formulation, Composites Part B: Engineering, vol.55, pp.642-659, 2013.
DOI : 10.1016/j.compositesb.2013.07.026

F. Tornabene, N. Fantuzzi, and M. Bacciocchi, Higher-order structural theories for the static analysis of doubly-curved laminated composite panels reinforced by curvilinear fibers, Thin-Walled Structures, vol.102, pp.222-245, 2016.
DOI : 10.1016/j.tws.2016.01.029

J. Yang, Q. Huang, H. Hu, G. Giunta, S. Belouettar et al., A new family of finite elements for wrinkling analysis of thin films on compliant substrates, Composite Structures, vol.119, pp.568-577, 2015.
DOI : 10.1016/j.compstruct.2014.09.040
URL : https://hal.archives-ouvertes.fr/hal-01513863

E. Carrera, Theories and finite elements for multilayered, anisotropic, composite plates and shells, Archives of Computational Methods in Engineering, vol.35, issue.6, pp.216-296, 2003.
DOI : 10.2514/3.10099

Q. Z. He, H. Hu, S. Belouettar, G. Giunta, K. Yu et al., Potier-Ferry, Multi-scale modelling of sandwich structures using hierarchical kinematics, Composite Structures, pp.93-2375, 2011.
DOI : 10.1016/j.compstruct.2011.03.026

M. Cinefra, E. Carrera, L. D. Croce, and C. Chinosi, Refined shell elements for the analysis of functionally graded structures, Composite Structures, vol.94, issue.2, pp.415-422, 2012.
DOI : 10.1016/j.compstruct.2011.08.006
URL : http://porto.polito.it/2429183/1/ICCS16_2011.pdf

K. Mhada, B. Braikat, and N. , A 2D Fourier double scale analysis of global-local instability interaction in sandwich structures, Proceedings of 21ème Congrès Français de Mécanique, 2013.

Q. Huang, H. Hu, K. Yu, M. Potier-ferry, S. Belouettar et al., Macroscopic simulation of membrane wrinkling for various loading cases, International Journal of Solids and Structures, vol.64, issue.65, pp.65-246, 2015.
DOI : 10.1016/j.ijsolstr.2015.04.003
URL : https://hal.archives-ouvertes.fr/hal-01514739

K. Attipou, H. Hu, F. Mohri, M. Potier-ferry, and S. Belouettar, Thermal wrinkling of thin membranes using a Fourier-related double scale approach, Thin-Walled Structures, pp.94-532, 2015.
DOI : 10.1016/j.tws.2015.04.034

K. Bathe, Finite element procedures, 2006.

Y. P. Cao, F. Jia, Y. Zhao, X. Q. Feng, and S. W. Yu, Buckling and post-buckling of a stiff film resting on an elastic graded substrate, International Journal of Solids and Structures, vol.49, issue.13, pp.1656-1664, 2012.
DOI : 10.1016/j.ijsolstr.2012.03.004
URL : https://doi.org/10.1016/j.ijsolstr.2012.03.004

J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, 2004.
DOI : 10.1093/acprof:oso/9780198525295.001.0001

E. Carrera and S. Brischetto, Analysis of thickness locking in classical, refined and mixed multilayered plate theories, Composite Structures, vol.82, issue.4, pp.549-562, 2008.
DOI : 10.1016/j.compstruct.2007.02.002

E. Carrera and S. Brischetto, Analysis of thickness locking in classical, refined and mixed theories for layered shells, Composite Structures, vol.85, issue.1, pp.83-90, 2008.
DOI : 10.1016/j.compstruct.2007.10.009

H. B. Dhia and G. Rateau, The Arlequin method as a flexible engineering design tool, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.1442-1462, 2005.
DOI : 10.1007/BF00364080
URL : https://hal.archives-ouvertes.fr/hal-00018915

H. Hu, S. Belouettar, M. Potier-ferry, and E. M. Daya, Multi-scale modeling of sandwich structure using the Arlequin method, Part I: linear modelling, Finite Element in Analysis and Design, pp.45-82, 2009.

B. Li, Y. P. Cao, X. Q. Feng, and H. Gao, Surface wrinkling of mucosa induced by volumetric growth: Theory, simulation and experiment, Journal of the Mechanics and Physics of Solids, vol.59, issue.4, pp.758-774, 2011.
DOI : 10.1016/j.jmps.2011.01.010

B. Li, Y. P. Cao, X. Q. Feng, and H. Gao, Mechanics of morphological instabilities and surface wrinkling in soft materials: a review, Soft Matter, vol.20, issue.21, 2012.
DOI : 10.1140/epje/i2005-10080-0

Z. Y. Huang, W. Hong, and Z. Suo, Evolution of wrinkles in hard films on soft substrates, Physical Review E, vol.419, issue.3, p.30601, 2004.
DOI : 10.1016/S0010-4655(97)00115-X

H. Q. Jiang, D. Y. Khang, H. Y. Fei, H. Kim, Y. G. Huang et al., Finite width effect of thin-films buckling on compliant substrate: Experimental and theoretical studies, Journal of the Mechanics and Physics of Solids, vol.56, issue.8, pp.2585-2598, 2008.
DOI : 10.1016/j.jmps.2008.03.005

O. Polit and M. Touratier, High-order triangular sandwich plate finite element for linear and non-linear analyses, Computer Methods in Applied Mechanics and Engineering, vol.185, issue.2-4, pp.305-324, 2000.
DOI : 10.1016/S0045-7825(99)00264-9
URL : https://hal.archives-ouvertes.fr/hal-01366943

A. J. Ferreira, C. M. Roque, E. Carrera, M. Cinefra, and O. Polit, Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami???s zig-zag theory, European Journal of Mechanics - A/Solids, vol.30, issue.4, pp.30-559, 2011.
DOI : 10.1016/j.euromechsol.2011.01.007

H. S. Shen and . Two, Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells
DOI : 10.1002/9781118649893

Q. Huang, R. Xu, Y. Liu, H. Hu, G. Giunta et al., A two-dimensional Fourier-series finite element for wrinkling analysis of thin films on compliant substrates, Thin-Walled Structures, vol.114, pp.144-153, 2017.
DOI : 10.1016/j.tws.2016.12.029

M. A. Aiello and L. Ombres, Local buckling loads of sandwich panels made with laminated faces, Composite Structures, vol.38, issue.1-4, pp.191-201, 1997.
DOI : 10.1016/S0263-8223(97)00055-X

W. Ji and A. M. Waas, Global and Local Buckling of a Sandwich Beam, Journal of Engineering Mechanics, vol.133, issue.2, pp.230-237, 2007.
DOI : 10.1061/(ASCE)0733-9399(2007)133:2(230)

W. Ji and A. M. Waas, 2D elastic analysis of the sandwich panel buckling problem: benchmark solutions and accurate finite element formulations, Zeitschrift für Angewandte Mathematik und Physik, pp.61-897, 2010.
DOI : 10.2514/8.3116

M. Douville and P. L. Grognec, Exact analytical solutions for the local and global buckling of sandwich beam-columns under various loadings, International Journal of Solids and Structures, vol.50, issue.16-17, pp.2597-2609, 2013.
DOI : 10.1016/j.ijsolstr.2013.04.013
URL : https://doi.org/10.1016/j.ijsolstr.2013.04.013

K. S. Saoud and P. L. Grognec, A unified formulation for the biaxial local and global buckling analysis of sandwich panels, Thin-Walled Structures, vol.82, pp.13-23, 2014.
DOI : 10.1016/j.tws.2014.03.009

A. K. Noor, W. S. Burton, and C. W. Bert, Computational Models for Sandwich Panels and Shells, Applied Mechanics Reviews, vol.49, issue.3, pp.155-199, 1996.
DOI : 10.1115/1.3101923

J. N. Reddy, Mechanics of Laminated Plates and Composite Shells: Theory and Analysis, 2004.

D. J. Dawe and W. X. Yuan, Overall and local buckling of sandwich plates with laminated faceplates, Part I: Analysis, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.40-41, pp.5197-5213, 2001.
DOI : 10.1016/S0045-7825(01)00169-4

W. X. Yuan and D. J. Dawe, Overall and local buckling of sandwich plates with laminated faceplates, part II: Applications, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.40-41, pp.5215-5231, 2001.
DOI : 10.1016/S0045-7825(01)00170-0

L. Léotoing, S. Drapier, and A. Vautrin, First applications of a novel unified model for global and local buckling of sandwich columns, European Journal of Mechanics - A/Solids, vol.21, issue.4, pp.683-701, 2002.
DOI : 10.1016/S0997-7538(02)01229-9

E. Madenci and I. Guven, The finite element method and applications in engineering using ANSYS ® , chap, 2006.
DOI : 10.1007/978-1-4899-7550-8

I. Kreja, R. Schmidt, and J. N. Reddy, Finite elements based on a first-order shear deformation moderate rotation shell theory with applications to the analysis of composite structures, International Journal of Non-Linear Mechanics, vol.32, issue.6, pp.1123-1142, 1997.
DOI : 10.1016/S0020-7462(96)00124-2

L. W. Zhang, K. M. Liew, and J. N. Reddy, Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression, Computer Methods in Applied Mechanics and Engineering, vol.298, pp.1-28, 2016.
DOI : 10.1016/j.cma.2015.09.016

L. W. Zhang, K. M. Liew, and J. N. Reddy, Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory, Composite Structures, vol.152, pp.418-431, 2016.
DOI : 10.1016/j.compstruct.2016.05.040

A. J. Ferreira, Analysis of Composite Plates Using a Layerwise Theory and Multiquadrics Discretization, Mechanics of Advanced Materials and Structures, vol.4, issue.2, pp.99-112, 2005.
DOI : 10.1016/0045-7949(87)90147-7

M. Touratier, An efficient standard plate theory, International Journal of Engineering Science, vol.29, issue.8, pp.901-916, 1991.
DOI : 10.1016/0020-7225(91)90165-Y

P. Vidal and O. Polit, Assessment of the refined sinus model for the non-linear analysis of composite beams, Composite Structures, vol.87, issue.4, pp.370-381, 2009.
DOI : 10.1016/j.compstruct.2008.02.007
URL : https://hal.archives-ouvertes.fr/hal-01366935

M. Karama, K. S. Afaq, and S. Mistou, Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity, International Journal of Solids and Structures, vol.40, issue.6, pp.1525-1546, 2003.
DOI : 10.1016/S0020-7683(02)00647-9

M. D. Ottavio and O. Polit, Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model, Acta Mechanica, vol.226, pp.81-101, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01367047

E. Carrera, Historical review of Zig-Zag theories for multilayered plates and shells, Applied Mechanics Reviews, vol.34, issue.20, pp.287-308, 2003.
DOI : 10.1115/1.3172955

E. Carrera and F. Miglioretti, Selection of appropriate multilayered plate theories by using a genetic like algorithm, Composite Structures, vol.94, issue.3, pp.1175-1186, 2012.
DOI : 10.1016/j.compstruct.2011.10.013

M. D. Ottavio, O. Polit, W. Ji, and A. M. Waas, Benchmark solutions and assessment of variable kinematics models for global and local buckling of sandwich struts, Composite Structures, vol.156, pp.125-134, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01366896

H. Hu, S. Belouettar, M. Potier-ferry, and E. M. Daya, Review and assessment of various theories for modeling sandwich composites, Composite Structures, vol.84, issue.3, pp.282-292, 2008.
DOI : 10.1016/j.compstruct.2007.08.007

Y. P. Liu, C. G. Wang, H. F. Tan, and M. K. Wadee, The interactive bending wrinkling behaviour of inflated beams, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.43, issue.2193, 2016.
DOI : 10.1016/j.ijmecsci.2013.07.009
URL : http://europepmc.org/articles/pmc5046989?pdf=render

Q. Huang, J. Yang, W. Huang, Y. Liu, H. Hu et al., A new Fourier-related double scale analysis for wrinkling analysis of thin films on compliant substrates, Composite Structures, vol.160, pp.160-613, 2017.
DOI : 10.1016/j.compstruct.2016.10.062

O. C. Zienkiewicz and Y. K. Cheung, THE FINITE ELEMENT METHOD FOR ANALYSIS OF ELASTIC ISOTROPIC AND ORTHOTROPIC SLABS., Proceedings of the Institution of Civil Engineers, vol.28, issue.4, pp.471-488, 1964.
DOI : 10.1680/iicep.1964.10014

R. J. Melosh, BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD, AIAA Journal, vol.88, issue.7, pp.1631-1637, 1963.
DOI : 10.1243/JMES_JOUR_1960_002_017_02

L. Léotoing, S. Drapier, and A. Vautrin, Using New Closed-form Solutions to Set up Design Rules and Numerical Investigations for Global and Local Buckling of Sandwich Beams, Journal of Sandwich Structures & Materials, vol.6, issue.3, pp.263-289, 2004.
DOI : 10.1016/S0263-8231(97)00018-9

F. Xu and M. , A multi-scale modeling framework for instabilities of film/substrate systems, Journal of the Mechanics and Physics of Solids, vol.86, pp.150-172, 2016.
DOI : 10.1016/j.jmps.2015.10.003
URL : https://hal.archives-ouvertes.fr/hal-01512998

Y. Mei, S. Kiravittaya, S. Harazim, and O. G. Schmidt, Principles and applications of micro and nanoscale wrinkles, Materials Science and Engineering: R: Reports, vol.70, issue.3-6, pp.209-224, 2010.
DOI : 10.1016/j.mser.2010.06.009