Elastic Deformations & Lie Groups/Algebras

Dear John,

It seems that the field of Lie groups has recently caught a lot of attention for numerically solving symplectic integrators for Hamiltonian systems. I am not really working on that now, but since I am more on the computational part of mechanic, I would like to. Good books on the topic are

Mathematical foundations of elasticity by Jerrold E. Marsden,Thomas J. R. Hughes

and 

Applications of Lie groups to differential equations by Peter J. Olver

 There is also a good article on the subject,

 http://www.cds.caltech.edu/~marin/pubs/KoCrDe2008.pdf

Regards, 

Tom