A class of nonholonomic kinematic constraints in elasticity

Details A class of nonholonomic kinematic constraints in elasticity A class of nonholonomic kinematic constraints in elasticity

2006-04-26

arxiv.org/abs/math-ph/0604064v3

J. Phys. A: Math. Theor. 40 (2007) 3889-3913

Physics

Mathematical Physics

28 pages, 7 figures, uses IOPP LaTeX style (included) (v3: section 2 entirely rewritten)

Scientific paper

10.1088/1751-8113/40/14/010

We propose a first example of a simple classical field theory with nonholonomic constraints. Our model is a straightforward modification of a Cosserat rod. Based on a mechanical analogy, we argue that the constraint forces should be modeled in a special way, and we show how such a procedure can be naturally implemented in the framework of geometric field theory. Finally, we derive the equations of motion and we propose a geometric integration scheme for the dynamics of a simplified model.

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