V. I. Arnold, Mathematical Methods of Classical Mechanics, 1988.

A. Bayliss and E. Isaacson, How to make your algorithm conservative, pp.594-595, 1975.

. Channell, Symplectic Integration Algorithms, Los Alamos Natl Lab, Int. Rept. AT, vol.6, pp.83-92, 1983.

P. G. Ciarlet, Mathematical Elasticity Volume I. The Three Dimensional Theory, North-Holland, 1988.

R. De-vogelaere, Methods of integration which preserve the contact transformation property of Hamiltonian equations, 1956.

T. 1. Hughes, W. K. Liu, and P. Caughy, Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy, Journal of Applied Mechanics, vol.45, issue.2, pp.366-370, 1978.
DOI : 10.1115/1.3424303

F. Kan, Difference schemes for Hamiltonian formalism and symplectic geometry, J. Comp. Math, vol.4, pp.279-289, 1986.

J. K. Knowles, On the dissipation associated with equilibrium shocks in finite elasticity, Journal of Elasticity, vol.9, issue.2, pp.131-158, 1979.
DOI : 10.1007/BF00041322

R. A. Labudde and D. Greenspan, Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion, Numerische Mathematik, vol.10, issue.4, pp.323-346, 1976.
DOI : 10.1007/BF01396331

R. A. Labudde and D. Greenspan, Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion, Part Il, Num. Math, vol.26, pp.1-16, 1976.

F. M. Lasagni, Canonical Runge-Kutta methods, ZAMP Zeitschrift f???r angewandte Mathematik und Physik, vol.4, issue.6, pp.952-953, 1988.
DOI : 10.1007/BF00945133

J. E. Marsden, Elementary Classical Analysis, 1974.

R. D. Ritchmyer and K. W. Morton, Difference Methods for Initial Value Problems

R. D. Ruth, A canonical integration technique, IEEE Trans. Nucl. Sci, pp.2669-2671, 1983.

J. M. Sanz-serna, Runge-kutta schemes for Hamiltonian systems, BIT, vol.6, issue.4, pp.877-883, 1988.
DOI : 10.1007/978-1-4757-1693-1

C. Scovel, Symplectic numerical integration of Hamiltonian Systems, in The Geometry of Hamiltonian Systems, Proc. Workshop held June 5th to 15th, pp.463-496, 1989.

J. C. Simo, J. E. Marsden, and P. S. Krishnaprasad, The Hamiltonian structure ofnonlinear elasticity: The convected representation of solids, rods and plates, Arch. Rat. Mech. Analysis, vol.104, pp.125-183, 1989.

J. C. Simo and K. K. Wong, Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum, International Journal for Numerical Methods in Engineering, vol.15, issue.1, pp.19-52, 1991.
DOI : 10.1007/978-1-4757-1799-0

J. C. Simo, Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.88, issue.1, pp.111-131, 1991.
DOI : 10.1016/0045-7825(91)90235-X

J. C. Simo, M. S. Rifai, and D. D. Fox, On a stress resultant geometrically shell model . .e_art VI: Conserving algorithms for nonlinear dynamics, Comp. Meth. Appl. Mech. Eng, vol.34, pp.117-164, 1992.
DOI : 10.1007/978-3-642-84045-6_2

J. C. Simo, N. Tarnow, and K. Wong, Exact energy-momentum conserving algorithms and symp/ectic schemes for nonlinear dynamics, Comp. Meth. Appl. Mech. Eng
DOI : 10.1016/0045-7825(92)90115-z

C. Truesdell and W. Noli, The Nonlinear Field Theories in Mechanics, Handbuch der Physik, vol.3, 1972.
DOI : 10.1007/978-3-642-88504-4_2

G. Zhong and J. E. Marsden, Lie -Poisson Hami/ton -Jacobi theory and Lie -Poisson integrators, Phys. Lett. A, vol.33, issue.3, pp.134-139, 1988.
DOI : 10.1016/0375-9601(88)90773-6