A class of nonholonomic kinematic constraints in elasticity
| dc.creator | Vankerschaver, Joris | |
| dc.date | 2006-04-26 | |
| dc.date | 2007-03-12 | |
| dc.date.accessioned | 2026-07-07T07:52:48Z | |
| dc.date.available | 2026-07-07T07:52:48Z | |
| dc.description | We propose a first example of a simple classical field theory with nonholonomic constraints. Our model is a straightforward modification of a Cosserat rod. Based on a mechanical analogy, we argue that the constraint forces should be modeled in a special way, and we show how such a procedure can be naturally implemented in the framework of geometric field theory. Finally, we derive the equations of motion and we propose a geometric integration scheme for the dynamics of a simplified model. | |
| dc.description | 28 pages, 7 figures, uses IOPP LaTeX style (included) (v3: section 2 entirely rewritten) | |
| dc.identifier | https://arxiv.org/abs/math-ph/0604064 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0604064 | |
| dc.identifier | J. Phys. A: Math. Theor. 40 (2007) 3889-3913 | |
| dc.identifier | doi:10.1088/1751-8113/40/14/010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126016 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 70S05; 70F25; 58A20; 74A05 | |
| dc.title | A class of nonholonomic kinematic constraints in elasticity | |
| dc.type | text |