Elastica Constrained Between Walls
1 : Institut Jean Le Rond d'Alembert
Institut Jean Le Rond d'Alembert, Sorbonne Université
2 : Institut Jean Le Rond d'Alembert
(IJLRA)
* : Corresponding author
CNRS : UMR7190, Université Pierre et Marie Curie (UPMC) - Paris VI
Boite 162 4 place Jussieu 75005 Paris -
France
In this study, we investigate the deformation of an Euler elastica confined between two walls under varying wall heights and end compression. We analyze the behavior of the elastica, focusing on the formation and structure of folds, the number of folds, and the forces involved, using multiple analytical and numerical methods. By comparing numerical simulations of the complete system with a simplified analytical model, we demonstrate that the simplified approach provides good predictions of the system's behavior.