S. Ham and K. J. Bathe, A finite element method enriched for wave propagation problems, Computers & Structures, vol.94, issue.95, pp.94-95
DOI : 10.1016/j.compstruc.2012.01.001
URL : https://hal.archives-ouvertes.fr/hal-01403646

P. Wriggers, Computational Contact Mechanics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00466790

D. Doyen, A. Ern, and S. Piperno, Time-Integration Schemes for the Finite Element Dynamic Signorini Problem, SIAM Journal on Scientific Computing, vol.33, issue.1, pp.223-249, 2011.
DOI : 10.1137/100791440
URL : https://hal.archives-ouvertes.fr/hal-00440128

T. J. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, 1987.

K. J. Bathe, Finite Element Procedures, 1996.

M. Jean, The non-smooth contact dynamics method, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.235-257, 1999.
DOI : 10.1016/S0045-7825(98)00383-1
URL : https://hal.archives-ouvertes.fr/hal-01390459

C. Eck, J. Jarusek, and M. Krbec, Unilateral Contact Problems: Variational Methods and Existence Theorems, CRC, vol.270, 2005.
DOI : 10.1201/9781420027365

F. Armero and E. Petocz, Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems, Computer Methods in Applied Mechanics and Engineering, vol.158, issue.3-4, pp.3-4, 1998.
DOI : 10.1016/S0045-7825(97)00256-9
URL : https://hal.archives-ouvertes.fr/hal-01435615

N. J. Carpenter, R. L. Taylor, and M. G. Katona, Lagrange constraints for transient finite element surface contact, International Journal for Numerical Methods in Engineering, vol.1, issue.1, pp.103-128, 1991.
DOI : 10.1002/nme.1620320107
URL : https://hal.archives-ouvertes.fr/hal-01389918

B. Brogliato, Nonsmooth Mechanics: Models, Dynamics and Control, pp.978-979, 1999.
DOI : 10.1007/978-1-4471-0557-2
URL : https://hal.archives-ouvertes.fr/hal-01236953

J. J. Moreau, An introduction to Unilateral Dynamics, Lecture Notes in Applied and Computational Mechanics, vol.14, pp.1-46, 2004.
DOI : 10.1007/978-3-540-45287-4_1
URL : https://hal.archives-ouvertes.fr/hal-01824568

J. J. Moreau, Unilateral contact and dry friction in finite freedom dynamics, Nonsmooth Mechanics and Applications International Centre for Mechanical Sciences, vol.302, pp.1-82, 1988.
DOI : 10.1007/978-3-7091-2624-0_1
URL : https://hal.archives-ouvertes.fr/hal-01713847

V. Acary and B. Brogliato, Numerical Methods for Nonsmooth Dynamical Systems, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423530

M. T. Darvishi, F. Khani, and A. A. Soliman, The numerical simulation for stiff systems of ordinary differential equations, Computers & Mathematics with Applications, vol.54, issue.7-8, pp.1055-1063, 2007.
DOI : 10.1016/j.camwa.2006.12.072

R. Krause and M. Walloth, Presentation and comparison of selected algorithms for dynamic contact based on the Newmark scheme, Applied Numerical Mathematics, vol.62, issue.10, pp.1393-1410, 2012.
DOI : 10.1016/j.apnum.2012.06.014

P. Deuflhard, R. Krause, and S. Ertel, A contact-stabilized Newmark method for dynamical contact problems, International Journal for Numerical Methods in Engineering, vol.1, issue.9, pp.1274-1290, 2008.
DOI : 10.1002/nme.2119

L. Paoli, Time discretization of vibro-impact, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2405-2428, 1789.
DOI : 10.1098/rsta.2001.0858
URL : https://hal.archives-ouvertes.fr/hal-01364544

C. Studer, Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics, 2009.
DOI : 10.1007/978-3-642-01100-9

L. Paoli and M. Schatzman, A Numerical Scheme for Impact Problems I: The One-Dimensional Case, SIAM Journal on Numerical Analysis, vol.40, issue.2, pp.702-733, 2002.
DOI : 10.1137/S0036142900378728

O. Brüls, V. Acary and A. Cardona, Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized α-scheme, Computer Methods in Applied Mechanics and Engineering, vol.281, pp.131-161, 2014.
DOI : 10.1016/j.cma.2014.07.025
URL : https://hal.inria.fr/hal-01059823

B. F. Shorr, The Wave Finite Element Method, 2004.
DOI : 10.1007/978-3-540-44579-1

B. R. Mace, D. Duhamel, M. J. Brennan, and L. Hinke, Finite element prediction of wave motion in structural waveguides, The Journal of the Acoustical Society of America, vol.117, issue.5, pp.2835-2843, 2005.
DOI : 10.1121/1.1887126

B. F. Shorr, Analysis of wave propagation in elastic-plastic rods of a variable cross section using direct mathematical modelling, Archive of Applied Mechanics, vol.6, issue.8, pp.537-547, 1995.
DOI : 10.1007/BF00789095