Sang-Min Park, Mark P. Stoykovich, et al.
Advanced Materials
Paper
The variational theory of the plane motion of the extensible elastica
Abstract
From a variational formulation, equations of motion and constitutive relations are derived for an extensible elastica executing a plane motion. The conditions which cause the separation of the action density into kinetic and potential energies are investigated, and some problems are solved. © 1966.