Asymptotic results for bifurcations in pure bending of rubber blocks
| dc.creator | Coman, Ciprian | |
| dc.creator | Destrade, Michel | |
| dc.date | 2008-11-25 | |
| dc.date.accessioned | 2026-07-07T10:36:29Z | |
| dc.date.available | 2026-07-07T10:36:29Z | |
| dc.description | The bifurcation of an incompressible neo-Hookean thick block with a ratio of thickness to length {eta}, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear pre-buckling state of strain are reduced to a fourth-order linear eigenproblem that displays a multiple turning point. It is found that for 0 < {eta} < {infty}, the block experiences an Euler-type buckling instability which in the limit {eta} -> {infty} degenerates into a surface instability. Singular perturbation methods enable us to capture this transition, while direct numerical simulations corroborate the analytical results. | |
| dc.identifier | https://arxiv.org/abs/0811.4022 | |
| dc.identifier | http://arxiv.org/abs/0811.4022 | |
| dc.identifier | The Quarterly Journal of Mechanics and Applied Mathematics 61, 3 (2008) 395-414 | |
| dc.identifier | doi:10.1093/qjmam/hbn009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180070 | |
| dc.subject | Classical Physics | |
| dc.title | Asymptotic results for bifurcations in pure bending of rubber blocks | |
| dc.type | text |