J. Guckenheimer, Numerical computation in the information age, SIAM News, vol.31, issue.5, 1998.

S. Li and W. K. Liu, Meshfree particle methods, p.3540222561, 2004.

G. R. Liu and Y. T. Gu, An Introduction to Meshfree Methods and Their Programming, 2005.

L. D. Libersky, A. G. Petschek, T. C. Carney, . J. Hipp, and F. A. Allahdadi, High Strain Lagrangian Hydrodynamics, Journal of Computational Physics, vol.109, issue.1, pp.67-75, 1993.
DOI : 10.1006/jcph.1993.1199

S. Li, W. Hao, and W. K. Liu, Mesh-free simulations of shear banding in large deformation, International Journal of Solids and Structures, vol.37, issue.48-50, pp.7185-7206, 2000.
DOI : 10.1016/S0020-7683(00)00195-5

T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl, Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.3-47, 1996.
DOI : 10.1016/S0045-7825(96)01078-X

M. B. Liu, G. R. Liu, K. Y. Lam, and Z. Zong, Computer Simulation of Shaped Charge Detonation Using Meshless Particle Method, Fragblast, vol.7, issue.3, pp.181-202, 2003.
DOI : 10.1076/frag.7.3.181.16789

L. B. Lucy, A numerical approach to the testing of the fission hypothesis, The Astronomical Journal, vol.82, pp.1013-1024, 1977.
DOI : 10.1086/112164

R. A. Gingold and J. J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly Notices of the Royal Astronomical Society, vol.181, issue.3, pp.375-389, 1977.
DOI : 10.1093/mnras/181.3.375

E. Onate, S. Idelsohn, O. C. Zienkiewicz, and R. L. Taylor, A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW, International Journal for Numerical Methods in Engineering, vol.26, issue.22, pp.3839-3866, 1996.
DOI : 10.1002/(SICI)1097-0207(19961130)39:22<3839::AID-NME27>3.0.CO;2-R

E. J. Kansa, Multiquadrics???A scattered data approximation scheme with applications to computational fluid-dynamics???I surface approximations and partial derivative estimates, Computers & Mathematics with Applications, vol.19, issue.8-9, pp.127-145, 1990.
DOI : 10.1016/0898-1221(90)90270-T

B. Nayroles, G. Touzot, and P. Villon, Generalizing the finite element method: Diffuse approximation and diffuse elements, Computational Mechanics, vol.313, issue.5, pp.307-318, 1992.
DOI : 10.1007/BF00364252

P. Lancaster and K. Salkauskas, Surfaces generated by moving least squares methods, Mathematics of Computation, vol.37, issue.155, pp.141-158, 1981.
DOI : 10.1090/S0025-5718-1981-0616367-1

T. Belytschko, Y. Y. Lu, and L. Gu, Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, vol.95, issue.2, pp.229-256, 1994.
DOI : 10.1002/nme.1620370205

P. Krysl and T. Belytschko, Analysis of thin plates by the element-free Galerkin method, Computational Mechanics, vol.106, issue.1-2, pp.26-35, 1995.
DOI : 10.1007/BF00356476

Y. T. Gu and G. R. Liu, A boundary radial point interpolation method (BRPIM) for 2-D structural analyses, Structural Engineering and Mechanics, vol.15, issue.5, pp.535-550, 2003.
DOI : 10.12989/sem.2003.15.5.535

W. K. Liu, S. Jun, and Y. F. Zhang, Reproducing kernel particle methods, International Journal for Numerical Methods in Fluids, vol.45, issue.8-9, pp.1081-1106, 1995.
DOI : 10.1002/fld.1650200824

S. N. Atluri and T. Zhu, A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics, Computational Mechanics, vol.22, issue.2, pp.117-127, 1998.
DOI : 10.1007/s004660050346

S. De and K. J. Bathe, The method of finite spheres, Computational Mechanics, vol.25, issue.4, pp.329-345, 2000.
DOI : 10.1007/s004660050481

A. D. Oden and J. T. , Hp clouds-a meshless method to solve boundary value problems, 1995.

G. R. Liu and Y. T. Gu, A meshfree method: meshfree weak?strong (MWS) form method, for 2-D solids, Computational Mechanics, vol.33, issue.1, pp.2-14, 2003.
DOI : 10.1007/s00466-003-0477-5

G. R. Liu, Mesh Free Methods: moving beyond the finite element method, 2002.
DOI : 10.1201/9781420040586

P. Berczik, Modeling the Star Formation in Galazies Using the Chemo-dynamical SPH code, Astron. Astrophys, vol.360, pp.76-84, 2000.

D. Garcia-sen, E. Bravo, and S. E. Woosley, Single and multiple detonations in white dwarfs, Astron. Astrophys, vol.349, pp.177-188, 1999.

J. J. Monaghan, Modeling the universe, P. Astron. Soc.of Aust, vol.18, pp.233-237, 1990.

R. A. Gingold and J. J. Monaghan, Kernel estimates as a basis for general particle methods in hydrodynamics, Journal of Computational Physics, vol.46, issue.3, pp.429-453, 1982.
DOI : 10.1016/0021-9991(82)90025-0

X. Y. Hu and N. A. Adams, Angular-momentum conservative smoothed particle dynamics for incompressible viscous flows, Physics of Fluids, vol.18, issue.10, p.101702, 2006.
DOI : 10.1063/1.2359741

J. P. Morris, Y. Zhu, and P. J. Fox, Parallel simulations of pore-scale flow through porous media, Computers and Geotechnics, vol.25, issue.4, pp.227-246, 1999.
DOI : 10.1016/S0266-352X(99)00026-9

J. J. Monaghan, Gravity currents and solitary waves, Physica D: Nonlinear Phenomena, vol.98, issue.2-4, pp.523-533, 1996.
DOI : 10.1016/0167-2789(96)00110-8

J. J. Monaghan and A. Kocharyan, SPH simulation of multi-phase flow, Computer Physics Communications, vol.87, issue.1-2, pp.225-235, 1995.
DOI : 10.1016/0010-4655(94)00174-Z

P. W. Cleary, Modelling confined multi-material heat and mass flows using SPH, Applied Mathematical Modelling, vol.22, issue.12, pp.981-993, 1998.
DOI : 10.1016/S0307-904X(98)10031-8
URL : http://doi.org/10.1016/s0307-904x(98)10031-8

J. K. Chen, J. E. Beraun, and T. C. Carney, A corrective smoothed particle method for boundary value problems in heat conduction, International Journal for Numerical Methods in Engineering, vol.113, issue.2, pp.231-252, 1999.
DOI : 10.1002/(SICI)1097-0207(19990920)46:2<231::AID-NME672>3.0.CO;2-K

A. Colagrossi and M. Landrini, Numerical simulation of interfacial flows by smoothed particle hydrodynamics, Journal of Computational Physics, vol.191, issue.2, pp.448-475, 2003.
DOI : 10.1016/S0021-9991(03)00324-3

A. A. Soulim, High explosive simulation using multimaterial formulations, Appl. Therm. Eng, vol.26, issue.10, pp.1032-1042, 2006.

J. Bonet and S. Kulasegaram, Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations, International Journal for Numerical Methods in Engineering, vol.146, issue.6, pp.1189-1214, 2000.
DOI : 10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO;2-I

P. Cleary, J. Ha, V. Alguine, and T. Nguyen, Flow modelling in casting processes, Applied Mathematical Modelling, vol.26, issue.2, pp.171-190, 2002.
DOI : 10.1016/S0307-904X(01)00054-3

J. P. Gray, J. J. Monaghan, and R. P. Swift, SPH elastic dynamics, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.49-50, pp.6641-6662, 2001.
DOI : 10.1016/S0045-7825(01)00254-7

J. A. Zukas, High velocity impact, 1990.

P. W. Randies, T. C. Carney, L. D. Libersky, J. R. Renick, and A. G. Petschek, Calculation of oblique impact and fracture of tungsten cubes using smoothed particle hydrodynamics, International Journal of Impact Engineering, vol.17, issue.4-6, pp.661-672, 1995.
DOI : 10.1016/0734-743X(95)99889-Y

V. Mehra and S. Chaturvedi, High velocity impact of metal sphere on thin metallic plates: A comparative smooth particle hydrodynamics study, Journal of Computational Physics, vol.212, issue.1, pp.318-337, 2006.
DOI : 10.1016/j.jcp.2005.06.020

W. Benz and E. Asphaug, Simulations of brittle solids using smooth particle hydrodynamics, Computer Physics Communications, vol.87, issue.1-2, pp.253-265, 1995.
DOI : 10.1016/0010-4655(94)00176-3

J. W. Swegle and S. W. Attaway, On the feasibility of using Smoothed Particle Hydrodynamics for underwater explosion calculations, Computational Mechanics, vol.93, issue.3, pp.151-168, 1995.
DOI : 10.1007/BF00364078

M. B. Liu, G. R. Liu, Z. Zong, and K. Y. Lam, Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology, Computers & Fluids, vol.32, issue.3, pp.305-322, 2003.
DOI : 10.1016/S0045-7930(01)00105-0

J. J. Monaghan, Smoothed Particle Hydrodynamics, Annual Review of Astronomy and Astrophysics, vol.30, issue.1, pp.543-574, 1992.
DOI : 10.1146/annurev.aa.30.090192.002551

J. J. Monaghan, New developments in smoothed particle hydrodynamics In Meshfree Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering, vol.26, 2003.

J. J. Monaghan, Smoothed particle hydrodynamics, Reports on Progress in Physics, vol.68, issue.8, pp.1703-1759, 2005.
DOI : 10.1088/0034-4885/68/8/R01

P. W. Randles and L. D. Libersky, Smoothed Particle Hydrodynamics: Some recent improvements and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.375-408, 1996.
DOI : 10.1016/S0045-7825(96)01090-0

R. Vignjevic, Review of Development of the Smooth Particle Hydrodynamics (SPH) Method, Sixth Conference on Dynamics and Control of Systems and Structures in Space, 2004.
DOI : 10.1007/978-1-4419-0727-1_20

M. B. Liu and G. R. Liu, Smoothed Particle Hydrodynamics (SPH): an Overview and??Recent Developments, Archives of Computational Methods in Engineering, vol.43, issue.3, pp.25-76, 2010.
DOI : 10.1007/s11831-010-9040-7

G. R. Liu and M. B. Liu, ?Smoothed particle hydrodynamics ? a meshfree method?, Computational Mechanics, vol.33, issue.6, 2003.
DOI : 10.1007/s00466-004-0573-1

J. N. Fang, R. G. Owens, L. Tacher, and A. Parriaux, A numerical study of the SPH method for simulating transient viscoelastic free surface flows, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.1-2, pp.68-84, 2006.
DOI : 10.1016/j.jnnfm.2006.07.004

C. E. Zhou, G. R. Liu, and X. Han, CLASSIC TAYLOR-BAR IMPACT TEST REVISITED USING 3D SPH, Computational Methods, pp.1405-1409, 2006.
DOI : 10.1007/978-1-4020-3953-9_61

M. A. Mccarthy, J. R. Xiao, N. Petrinic, A. Kamoulakos, and V. Melito, Modelling of Bird Strike on an Aircraft Wing Leading Edge Made from Fibre Metal Laminates ??? Part 2: Modelling of Impact with SPH Bird Model, Applied Composite Materials, vol.11, issue.5, pp.317-340, 2004.
DOI : 10.1023/B:ACMA.0000037134.93410.c0

K. Brown, S. Attaway, S. Plimpton, and B. Hendrickson, Parallel strategies for crash and impact simulations, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.375-390, 2000.
DOI : 10.1016/S0045-7825(99)00235-2

P. W. Cleary, M. Prakash, and J. Ha, Novel applications of smoothed particle hydrodynamics (SPH) in metal forming, Journal of Materials Processing Technology, vol.177, issue.1-3, pp.41-48, 2006.
DOI : 10.1016/j.jmatprotec.2006.03.237

R. Vignjevic, D. Vuyst, T. Campbell, J. Bourne, and N. , Modelling of Impact on a Fuel Tank Using Smoothed Particle Hydrodynamics, 5th International Conference on Dynamics and Control of Systems and Structures in Space (DCSSS),Kings College, 2002.

P. Krysl and T. Belytschko, Analysis of thin shells by the Element-Free Galerkin method, International Journal of Solids and Structures, vol.33, issue.20-22, pp.3057-3078, 1996.
DOI : 10.1016/0020-7683(95)00265-0

S. Li, W. Hao, and W. K. Liu, Numerical simulations of large deformation of thin shell structures using meshfree methods, Computational Mechanics, vol.25, issue.2-3, pp.102-116, 2000.
DOI : 10.1007/s004660050463

D. Li, Z. Lin, and S. Li, Numerical analysis of mindlin shell by meshless local petrov-galerkin method, Acta Mechanica Solida Sinica, vol.73, issue.4, pp.160-169, 2008.
DOI : 10.1007/s10338-008-0819-0

J. P. Morris, Analysis of Smoothed Particle Hydrodynamics with Applications, 1996.

J. J. Monaghan and J. C. Lattanzio, A refined particle method for astrophysical problems, Astron. Astrophys, vol.149, pp.135-143, 1985.

D. A. Fulk, A numerical analysis of smoothed particle hydrodynamics", Air Force Institute of Technology, 1994.

L. D. Libersky and A. G. Petschek, Smooth particle hydrodynamics with strength of materials, Lecture Notes in Physics, vol.395, pp.248-257, 1991.
DOI : 10.1007/3-540-54960-9_58

P. W. Randles and L. D. Libersky, Smoothed Particle Hydrodynamics: Some recent improvements and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.375-408, 1996.
DOI : 10.1016/S0045-7825(96)01090-0

S. Jun, W. K. Liu, and T. Belytschko, Explicit Reproducing Kernel Particle Methods for large deformation problems, International Journal for Numerical Methods in Engineering, vol.35, issue.2, pp.137-166, 1998.
DOI : 10.1002/(SICI)1097-0207(19980115)41:1<137::AID-NME280>3.0.CO;2-A

G. A. Dilts, Moving-least-squares-particle hydrodynamics?I. Consistency and stability, International Journal for Numerical Methods in Engineering, vol.52, issue.8, pp.1115-1155, 1999.
DOI : 10.1002/(SICI)1097-0207(19990320)44:8<1115::AID-NME547>3.0.CO;2-L

G. A. Dilts, Moving least-squares particle hydrodynamics II: conservation and boundaries, International Journal for Numerical Methods in Engineering, vol.139, issue.10, pp.1503-1524, 2000.
DOI : 10.1002/1097-0207(20000810)48:10<1503::AID-NME832>3.0.CO;2-D

G. M. Zhang and R. C. Batra, Modified smoothed particle hydrodynamics method and its application to transient problems, Computational Mechanics, vol.34, issue.2, pp.137-146, 2004.
DOI : 10.1007/s00466-004-0561-5

R. C. Batra and G. M. Zhang, SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations, Computational Mechanics, vol.35, issue.4, pp.527-545, 2008.
DOI : 10.1007/s00466-007-0209-3

J. Chen and J. Beraun, A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.1-2, pp.225-239, 2000.
DOI : 10.1016/S0045-7825(99)00422-3

V. Neumann, J. Richtmyer, and R. D. , A Method for the Numerical Calculation of Hydrodynamic Shocks, Journal of Applied Physics, vol.21, issue.3, pp.232-247, 1950.
DOI : 10.1063/1.1699639

J. J. Monaghan and R. A. Gingold, Shock simulation by the particle method SPH, Journal of Computational Physics, vol.52, issue.2, pp.374-381, 1983.
DOI : 10.1016/0021-9991(83)90036-0

J. W. Swegle, S. W. Attaway, M. W. Heinstein, F. J. Mello, and D. L. Hicks, An analysis of smoothed particle hydrodynamics, Alb. NM, vol.87185, 1994.
DOI : 10.2172/10159839

D. S. Balsara, von Neumann stability analysis of smoothed particle hydrodynamics???suggestions for optimal algorithms, Journal of Computational Physics, vol.121, issue.2, pp.357-372, 1995.
DOI : 10.1016/S0021-9991(95)90221-X

B. Adams and M. Wicke, Meshless approximation methods and applications in physics based modeling and animation, Eurographics 2009 Tutorials, pp.213-239, 2009.

J. J. Monaghan, SPH without a Tensile Instability, Journal of Computational Physics, vol.159, issue.2, pp.290-311, 2000.
DOI : 10.1006/jcph.2000.6439

T. Belytschko, Y. Guo, W. K. Liu, and S. P. Xiao, A unified stability analysis of meshless particle methods, International Journal for Numerical Methods in Engineering, vol.8, issue.9, pp.1359-1400, 2000.
DOI : 10.1002/1097-0207(20000730)48:9<1359::AID-NME829>3.0.CO;2-U

S. Adhikari, Damping Models for Structural Vibrations, 2000.

C. H. Liu and K. M. Lee, Dynamic Modeling of Damping Effects in Highly Damped Compliant Fingers for Applications Involving Contacts, Journal of Dynamic Systems, Measurement, and Control, vol.134, issue.1, pp.11005-11006, 2012.
DOI : 10.1115/1.4005270

D. J. Benson, Computational methods in Lagrangian and Eulerian hydrocodes, Computer Methods in Applied Mechanics and Engineering, vol.99, issue.2-3, pp.2356-2394, 1992.
DOI : 10.1016/0045-7825(92)90042-I

S. P. Timoshenko and J. M. Gere, Mechanics of materials, 1972.

B. Maurel, Modélisation par la méthode SPH de l'impact d'un réservoir rempli de fluide, 2008.

B. Maurel and A. Combescure, An SPH shell formulation for plasticity and fracture analysis in explicit dynamics, International Journal for Numerical Methods in Engineering, vol.79, issue.3, pp.949-971, 2008.
DOI : 10.1002/nme.2316
URL : https://hal.archives-ouvertes.fr/hal-00381478

". User, I (revision: 3937), Livermore Software Technology Corporation (LSTC), 2321 pages, 2013.

R. D. Cook, Improved two dimensional finite element, J. Struct. Div-ASCE, vol.100, issue.9, pp.1851-1863, 1974.

K. Wisniewsk, Finite Rotation Shells Basic Equations and Finite Elements for Reissner Kinematics, 2010.

A. B. Sabi and A. C. Lock, The applications of finite elements to large deflection geometrically nonlinear behaviour of cylindrical shells, Variational methods in engineering: proceedings on an international conference held at the University of Southampton, pp.54-61, 1972.

J. D. Yau and Y. B. Yang, Geometrically nonlinear analysis of planar circular arches based on rigid element concept ??? A structural approach, Engineering Structures, vol.30, issue.4, pp.955-964, 2008.
DOI : 10.1016/j.engstruct.2007.06.003

P. Wriggers and J. C. Simo, A general procedure for the direct computation of turning and bifurcation points, International Journal for Numerical Methods in Engineering, vol.70, issue.1, pp.155-176, 1990.
DOI : 10.1002/nme.1620300110

K. Kemmoch and M. Uemura, Measurement of stress distribution in sandwich beams under four-point bending, Experimental Mechanics, vol.94, issue.1, pp.80-86, 1980.
DOI : 10.1007/BF02321232

T. Belytschko, W. K. Liu, and B. Moran, Nonlinear Finite Elements for Continua and Structures, 2000.

H. Noguchi, T. Kawashima, and T. Miyamura, Element free analyses of shell and spatial structures, International Journal for Numerical Methods in Engineering, vol.494, issue.6, pp.1215-1240, 2000.
DOI : 10.1002/(SICI)1097-0207(20000228)47:6<1215::AID-NME834>3.0.CO;2-M

S. Long and S. N. Atluri, A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate, CMES-Comp. Model. Eng, vol.3, issue.1, pp.53-63, 2002.

F. R. Ming, A. M. Zhang, and X. Y. Cao, A robust shell element in meshfree SPH method, Acta Mechanica Sinica, vol.52, issue.212, pp.241-255, 2013.
DOI : 10.1007/s10409-013-0017-2

F. Caleyron, A. Combescure, V. Faucher, and S. Potapov, Dynamic simulation of damage-fracture transition in smoothed particles hydrodynamics shells, International Journal for Numerical Methods in Engineering, vol.23, issue.6, pp.707-738, 2012.
DOI : 10.1002/nme.3337
URL : https://hal.archives-ouvertes.fr/hal-00938514

J. L. Batoz and G. Dhatt, Structural modeling by the finite element method, French)", Edition Hermès Paris, 1992.

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method for Solid and Structural Mechanics, 2005.

P. Betsch, A. Menzel, and E. Stein, On the parametrization of finite rotations in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.3-4, pp.273-305, 1998.
DOI : 10.1016/S0045-7825(97)00158-8

A. Ibrahimbegovic, On the choice of finite rotation parameters, Computer Methods in Applied Mechanics and Engineering, vol.149, issue.1-4, pp.49-71, 1997.
DOI : 10.1016/S0045-7825(97)00059-5

A. Ibrahimbegovic, 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, issue.1-2, pp.11-26, 1995.
DOI : 10.1016/0045-7825(95)00724-F

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

A. Goriely, R. Vandiver, and M. Destrade, Nonlinear Euler buckling, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.45, issue.1, pp.3003-3019, 2008.
DOI : 10.1093/qjmam/8.1.88
URL : https://hal.archives-ouvertes.fr/hal-00344953

W. C. Young and R. G. Budynas, Roark's formulas for stress and strain, 7-th Edition, 2002.

S. Klinkel, F. Gruttmann, and W. Wagner, A continuum based three-dimensional shell element for laminated structures, Computers & Structures, vol.71, issue.1, pp.43-62, 1999.
DOI : 10.1016/S0045-7949(98)00222-3

R. H. Leicester, Finite deformations of shallow shells, J. Eng. Mech. Div. ASCE, vol.94, issue.2, pp.1409-1423, 1968.

M. L. Bucalem and K. J. Bathe, Finite element analysis of shell structures, Archives of Computational Methods in Engineering, vol.47, issue.5???6, pp.3-61, 1997.
DOI : 10.1007/BF02818930

D. Gay and S. V. Hoa, Composite Materials: Design And Applications, pp.1420045199-568, 2007.
DOI : 10.1201/9781420031683

S. Valchoutsis, Shear correction factors for plates and shells, International Journal for Numerical Methods in Engineering, vol.29, issue.7, pp.1537-1552, 1992.
DOI : 10.1002/nme.1620330712

P. Madabhusi-raman and J. F. Davalos, Static shear correction factor for laminated rectangular beams, Composites Part B: Engineering, vol.27, issue.3-4, pp.285-293, 1996.
DOI : 10.1016/1359-8368(95)00014-3

D. W. Sleight, Evaluation of a progressive failure analysis methodology for laminated composite structures, 38th Structures, Structural Dynamics, and Materials Conference, pp.20546-20547, 1999.
DOI : 10.2514/6.1997-1187

Y. S. Reddy and J. N. Reddy, Linear and non-linear failure analysis of composite laminates with transverse shear, Composites Science and Technology, vol.44, issue.3, pp.227-255, 1992.
DOI : 10.1016/0266-3538(92)90015-U

Y. X. Zhang and K. S. Kim, A simple displacement-based 3-node triangular element for linear and geometrically nonlinear analysis of laminated composite plates, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.45-47, pp.4607-4632, 2005.
DOI : 10.1016/j.cma.2004.11.011

J. S. Moita, C. M. Mota-sores, M. Soares, and C. A. , Buckling behaviour of laminated composite structures using a discrete higher-order displacement model, Composite Structures, vol.35, issue.1, pp.75-92, 1996.
DOI : 10.1016/0263-8223(96)00025-6

K. M. Liew and Y. Q. Huang, Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method, International Journal of Mechanical Sciences, vol.45, issue.1, pp.95-114, 2003.
DOI : 10.1016/S0020-7403(03)00037-7

J. R. Xiao, D. F. Gilhooley, R. C. Batra, J. W. Gillespie-jr, and M. A. Mccarthy, Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method, Composites Part B: Engineering, vol.39, issue.2, pp.414-427, 2008.
DOI : 10.1016/j.compositesb.2006.12.009

A. J. Ferreira, R. C. Batra, C. M. Roque, L. F. Qian, and P. A. Martins, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Composite Structures, vol.69, issue.4, pp.449-457, 2005.
DOI : 10.1016/j.compstruct.2004.08.003

J. Wang, K. M. Liew, M. J. Tan, and S. Rajendran, Analysis of rectangular laminated composite plates via FSDT meshless method, International Journal of Mechanical Sciences, vol.44, issue.7, pp.1275-1293, 2002.
DOI : 10.1016/S0020-7403(02)00057-7

J. Singh and K. K. Shukla, Nonlinear flexural analysis of functionally graded plates under different loadings using RBF based meshless method, Engineering Analysis with Boundary Elements, vol.36, issue.12, pp.1819-1827, 2012.
DOI : 10.1016/j.enganabound.2012.07.001

S. Singh, J. Singh, and K. Shukla, Buckling of laminated composite plates subjected to mechanical and thermal loads using meshless collocations, Journal of Mechanical Science and Technology, vol.118, issue.2, pp.327-336, 2013.
DOI : 10.1007/s12206-012-1249-y

. K. Liew, X. Zhao, and A. J. Ferreira, A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, vol.93, issue.8, pp.2031-2041, 2011.
DOI : 10.1016/j.compstruct.2011.02.018

K. Shintate and H. Sekine, Numerical simulation of hypervelocity impacts of a projectile on laminated composite plate targets by means of improved SPH method, Composites Part A: Applied Science and Manufacturing, vol.35, issue.6, pp.683-692, 2004.
DOI : 10.1016/j.compositesa.2004.02.011

D. F. Medina and J. K. Chen, Three-dimensional simulations of impact induced damage in composite structures using the parallelized SPH method, Composites Part A: Applied Science and Manufacturing, vol.31, issue.8, pp.853-860, 2000.
DOI : 10.1016/S1359-835X(00)00031-2

A. Grimaldi, A. Sollo, M. Guida, and F. Marulo, Parametric study of a SPH high velocity impact analysis ??? A birdstrike windshield application, Composite Structures, vol.96, pp.616-630, 2013.
DOI : 10.1016/j.compstruct.2012.09.037

S. Mavel, Development of a numerical tool for design of sandwich structures subjected to impact at intermediate velocity, 2012.

Y. X. Zhang and C. H. Yang, A family of simple and robust finite elements for linear and geometrically nonlinear analysis of laminated composite plates, Composite Structures, vol.75, issue.1-4, pp.545-552, 2006.
DOI : 10.1016/j.compstruct.2006.04.016

T. Kant and J. R. Kommineni, C0 Finite element geometrically non-linear analysis of fibre reinforced composite and sandwich laminates based on a higher-order theory, Computers & Structures, vol.45, issue.3, pp.511-520, 1992.
DOI : 10.1016/0045-7949(92)90436-4

M. Gorgi, On Large Deflection of Symmetric Composite Plates under Static Loading, Proc. Inst, pp.13-19, 1986.
DOI : 10.1243/PIME_PROC_1986_200_089_02

G. Laschet and J. P. Jeusette, Postbuckling finite element analysis of composite panels, Composite Structures, vol.14, issue.1, pp.35-48, 1990.
DOI : 10.1016/0263-8223(90)90057-L

B. Brank, D. Peric, and F. B. Damjanic, On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells, Computational Mechanics, vol.30, issue.5, pp.341-359, 1995.
DOI : 10.1007/BF00350723

M. Balah and H. N. Al-ghamedy, Finite element formulation of a third order laminated finite rotation shell element, Computers & Structures, vol.80, issue.26, pp.1975-1990, 2002.
DOI : 10.1016/S0045-7949(02)00222-5

C. To and B. Wang, Transient responses of geometrically nonlinear laminated composite shell structures, Finite Elements in Analysis and Design, vol.31, issue.2, pp.117-134, 1998.
DOI : 10.1016/S0168-874X(98)00054-7

S. H. Yang and C. T. Sun, Indentation Law for Composite Laminates, ASTM STP, vol.787, pp.425-429, 1982.
DOI : 10.1520/STP28494S

T. M. Tan and C. T. Sun, Use of Statical Indentation Laws in the Impact Analysis of Laminated Composite Plates, Journal of Applied Mechanics, vol.52, issue.1, pp.6-12, 1985.
DOI : 10.1115/1.3169029

H. Suemasu, S. Herth, and M. Maier, Indentation of Spherical Head Indentors on Transversely Isotropic Composite Plates, Journal of Composite Materials, vol.11, issue.3, pp.1723-1739, 1994.
DOI : 10.1177/002199839402801705

E. Wu and C. Yen, The Contact Behavior Between Laminated Composite Plates and Rigid Spheres, Journal of Applied Mechanics, vol.61, issue.1, pp.60-66, 1994.
DOI : 10.1115/1.2901421

I. K. Choi and C. H. Lim, Low-velocity impact analysis of composite laminates using linearized contact law, Composite Structures, vol.66, issue.1-4, pp.125-132, 2004.
DOI : 10.1016/j.compstruct.2004.04.030

A. R. Setoodeh, P. Malekzadeh, and K. Nikibin, Low velocity impact analysis of laminated composite plates using a 3D elasticity based layerwise FEM, Materials & Design, vol.30, issue.9, pp.3795-3801, 2009.
DOI : 10.1016/j.matdes.2009.01.031

M. O. Pierson and R. Vaziri, Analytical solution for low-velocity impact response of composite plates, AIAA Journal, vol.34, issue.8, pp.1633-1640, 1996.
DOI : 10.2514/3.13282

C. T. Sun, An Analytical Method for Evaluation of Impact Damage Energy of Laminated Composites, ASTM Spec. Tech. Publ, vol.617, pp.427-440, 1977.
DOI : 10.1520/STP26958S

L. G. Nallim and O. G. Ricardo, Natural frequencies of symmetrically laminated elliptical and circular plates, International Journal of Mechanical Sciences, vol.50, issue.7, pp.1153-1167, 2008.
DOI : 10.1016/j.ijmecsci.2008.04.005

K. N. Shivakumar, W. Elber, and W. Illg, Prediction of Impact Force and Duration Due to Low-Velocity Impact on Circular Composite Laminates, Journal of Applied Mechanics, vol.52, issue.3, pp.674-680, 1985.
DOI : 10.1115/1.3169120

S. Abrate, Modeling of impacts on composite structures, Composite Structures, vol.51, issue.2, pp.129-138, 2001.
DOI : 10.1016/S0263-8223(00)00138-0

S. Abrate, Impact on Composite Structures, 2005.
DOI : 10.1017/CBO9780511574504

R. Olsson, Impact response of orthotropic composite plates predicted from a one-parameter differential equation, AIAA Journal, vol.30, issue.6, pp.1587-1596, 1992.
DOI : 10.2514/3.11105

K. S. Chun and S. K. Kassegne, Low-Velocity Impact Dynamic Behavior of Laminated Composite Nonprismatic Folded Plate Structures, Journal of Engineering Mechanics, vol.131, issue.7, pp.678-688, 2005.
DOI : 10.1061/(ASCE)0733-9399(2005)131:7(678)

H. Hertz, Uber die berührung fester elastischer körper, Journal für die reine und angewandte Mathematik, vol.92, pp.156-171, 1881.

K. L. Johnson, Contact Mechanics, 2003.

D. Kreculj and B. Rasuo, Review of impact damages modelling in laminated composite aircraft structures, pp.485-495, 2013.

P. O. Sjoblom, J. T. Hartness, and T. M. Cordell, On Low-Velocity Impact Testing of Composite Materials, Journal of Composite Materials, vol.563, issue.10, pp.30-52, 1988.
DOI : 10.1177/002199838802200103

K. N. Shivakumar, W. Elber, and W. Illg, Prediction of low-velocity impact damage in thin circular laminates, AIAA Journal, vol.23, issue.3, pp.442-449, 1985.
DOI : 10.2514/3.8933

K. Kumar, Analysis of impact response and damage in laminated composite shell involving large deformation and material degradation, Journal of Mechanics of Materials and Structures, vol.3, issue.9, pp.1741-1756, 2008.
DOI : 10.2140/jomms.2008.3.1741

H. Y. Choi, R. J. Downs, and F. K. Chang, A New Approach toward Understanding Damage Mechanisms and Mechanics of Laminated Composites Due to Low-Velocity Impact: Part I???Experiments, Journal of Composite Materials, vol.3, issue.8, pp.992-1011, 1991.
DOI : 10.1177/002199839102500803

H. Y. Choi, R. J. Downs, and F. K. Chang, A New Approach toward Understanding Damage Mechanisms and Mechanics of Laminated Composites Due to Low-Velocity Impact: Part II???Analysis, Journal of Composite Materials, vol.12, issue.1, pp.1012-1038, 1991.
DOI : 10.1177/002199839102500804

H. Y. Choi and F. K. Chang, A Model for Predicting Damage in Graphite/Epoxy Laminated Composites Resulting from Low-Velocity Point Impact, Journal of Composite Materials, vol.26, issue.14, pp.2134-2169, 1992.
DOI : 10.1177/002199839202601408

S. Ganapathy and K. P. Rao, Failure analysis of laminated composite cylindrical/spherical shell panels subjected to low-velocity impact, Computers & Structures, vol.68, issue.6, pp.627-641, 1998.
DOI : 10.1016/S0045-7949(98)00080-7

K. S. Krishnamurthy, P. Mahajan, and R. K. Mittal, A parametric study of the impact response and damage of laminated cylindrical composite shells, Composites Science and Technology, vol.61, issue.12, pp.1655-1669, 2001.
DOI : 10.1016/S0266-3538(01)00015-X

G. P. Zhao and C. D. Cho, Damage initiation and propagation in composite shells subjected to impact, Composite Structures, vol.78, issue.1, pp.91-100, 2007.
DOI : 10.1016/j.compstruct.2005.08.013

S. W. Tsai and E. M. Wu, A General Theory of Strength for Anisotropic Materials, Journal of Composite Materials, vol.5, issue.1, pp.58-80, 1971.
DOI : 10.1177/002199837100500106

S. W. Tsai, A Survey of Macroscopic Failure Criteria for Composite Materials, Journal of Reinforced Plastics and Composites, vol.3, issue.1, pp.40-62, 1984.
DOI : 10.1177/073168448400300102

J. P. Hou, N. Petrinic, C. Ruiz, and S. R. Hallett, Prediction of impact damage in composite plates, Composites Science and Technology, vol.60, issue.2, pp.273-281, 2000.
DOI : 10.1016/S0266-3538(99)00126-8

C. F. Li, N. Hu, Y. J. Yin, H. Sekine, and H. Fukunaga, Low-velocity impact-induced damage of continuous fiber-reinforced composite laminates. Part I. An FEM numerical model, Composites Part A: Applied Science and Manufacturing, vol.33, issue.8, pp.1055-1062, 2002.
DOI : 10.1016/S1359-835X(02)00081-7

K. Karas, Platten unter seitlichem Sto??, Ingenieur-Archiv, vol.10, issue.4, pp.237-250, 1939.
DOI : 10.1007/BF02084907

P. Mahajana and A. Dutta, Adaptive computation of impact force under low velocity impact, Computers & Structures, vol.70, issue.2, pp.229-241, 1999.
DOI : 10.1016/S0045-7949(98)00075-3

H. Y. Wu and F. K. Chang, Transient dynamic analysis of laminated composite plates subjected to transverse impact, Computers & Structures, vol.31, issue.3, pp.453-466, 1989.
DOI : 10.1016/0045-7949(89)90393-3

Y. Qian and S. R. Swanson, A comparison of solution techniques for impact response of composite plates, Composite Structures, vol.14, issue.3, pp.177-192, 1990.
DOI : 10.1016/0263-8223(90)90047-I

I. H. Choi and C. S. Hong, New approach for simple prediction of impact force history on composite laminates, AIAA J, vol.32, issue.10, pp.2067-2072, 1994.

H. Razi and A. S. Kobayashi, Delamination in cross-ply laminated composite subjected to low-velocity impact, AIAA Journal, vol.31, issue.8, pp.1498-1502, 1993.
DOI : 10.2514/3.11800

C. T. Dyka, P. W. Randles, and R. P. Ingel, STRESS POINTS FOR TENSION INSTABILITY IN SPH, International Journal for Numerical Methods in Engineering, vol.139, issue.13, pp.2325-2341, 1997.
DOI : 10.1002/(SICI)1097-0207(19970715)40:13<2325::AID-NME161>3.0.CO;2-8

Y. Vidal, J. Bonet, and A. Huert, Stabilized updated Lagrangian corrected SPH for explicit dynamic problems, International Journal for Numerical Methods in Engineering, vol.43, issue.13, pp.2687-2710, 2007.
DOI : 10.1002/nme.1859
URL : http://upcommons.upc.edu/bitstream/2117/8206/3/2007-IJNME-VBH-blanc.pdf

F. Cesari, V. Dal-re, G. Minak, and A. Zucchelli, Damage and residual strength of laminated carbon???epoxy composite circular plates loaded at the centre, Composites Part A: Applied Science and Manufacturing, vol.38, issue.4, pp.1163-1173, 2007.
DOI : 10.1016/j.compositesa.2006.04.013