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Strings in Motion
The statics and dynamics of thin strings are a classical subject in mechanics, and form the core of many open problems in geometrically nonlinear elasticity. I will begin by discussing what catenaries and lariats have in common, then present new results on rotating strings. With simple examples, I will illustrate a framework for the dynamics of curves which centers on the role of the stress, a multiplier field enforcing the metrical constraint of inextensibility. Finally, I will show how a rapidly unfurling string harbors a surprising instability.
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