Dynamics of Elastic Bodies

Under assumptions such as inextensibility and unshearability, conservative models for elastic bodies typically result in holonomically constrained Hamiltonian systems. Following an approach used by Dichmann and Maddocks for a Cosserat rod, spatial discretization takes the form of a collective of rigid body motions. We solve the resulting equations of motion using semi-explicit symplectic-reversible integration schemes. An advantage of our method is that it can efficiently handle the presence of long range forces, e.g. due to a charge distribution on the bodies.
a preprint

Some elastic rod images from our openGL animations

An animated gif file using snapshots from our openGL animations

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