I will first discuss some classical results on the realizability (or not) of d'Alembert's principle of ideal constrained motion in finite dimensions as limits of Newton systems with a strongly confining potential. We will then apply these ideas by analogy to continuum mechanical systems - such as threads and fluids - thereby explaining or correcting the d'Alembert description depending on the character of the initial data.
Co-authors: Daniil Glukhovskiy
By Matthew Juniper
By Sergey Gavrilyuk
By David Lannes
