Abstract
In this paper, we present a well posed “force” based formulation for nonlinearly elastic Cosserat rods with general boundary conditions enabling straightforward, efficient computation of spatial equilibria. We illustrate the ease and utility of our approach in four example problems, each exhibiting large spatial buckling, employing the path-following software AUTO.
| Original language | English (US) |
|---|---|
| Title of host publication | Modeling and Computations in Dynamical Systems |
| Subtitle of host publication | In Commemoration of the 100th Anniversary of the Birth of John von Neumann |
| Publisher | World Scientific Publishing Co. |
| Pages | 253-269 |
| Number of pages | 17 |
| ISBN (Electronic) | 9789812774569 |
| ISBN (Print) | 9812565965 |
| DOIs | |
| State | Published - Jan 1 2006 |
| Externally published | Yes |
Keywords
- Elastic Cosserat rods
- computation of spatial equilibria
- geometrically exact
ASJC Scopus subject areas
- General Mathematics