The Hamiltonian Structure of Nonlinear Elasticity: The Material and Convective Representations of Solids, Rods, and Plates

Simo, J. C., J. E. Marsden and P. S. Krishnaprasad

Arch. Rational Mech. Anal., 104, 125-183

Abstract:

"In this paper, we consider fully nonlinear geometrically exact models for rods, plates (and shells) which take into account shear and torsion as well as the usual bending effects in traditional rod and plate models."