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A class of nonholonomic kinematic constraints in elasticity

Joris Vankerschaver
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Abstract

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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Joris Vankerschaver. 2007-03-12. A class of nonholonomic kinematic constraints in elasticity. https://doi.org/10.1088/1751-8113/40/14/010

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