Stability Limit for Mode-I Fracture
| dc.creator | Ching, Emily S. C. | |
| dc.creator | Langer, J. S. | |
| dc.date | 1994-06-23 | |
| dc.date.accessioned | 2026-07-07T09:07:42Z | |
| dc.date.available | 2026-07-07T09:07:42Z | |
| dc.description | In order to study the stability of mode-I fracture, we consider a crack moving along the centerline of a very wide strip and compute its steady-state response to a small, spatially periodic shear stress. We find that, in the presence of this perturbation, the crack remains very nearly straight up to a critical speed $v_c$ of about $0.8\,v_R$, where $v_R$ is the Rayleigh speed. Deviations from straight-line propagation are suppressed by a factor proportional to $W^{-1/2}$, where $W$ is the width of the strip. At $v_c$, however, this suppression disappears and the steady-state crack follows the wavy curve along which the shear stress vanishes in the unbroken strip. We interpret this behavior as a loss of stability and discuss its implications for a more complete dynamical theory of fracture propagation. | |
| dc.description | request figure from author: langer@sbitp.ucsb.edu | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9406009 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9406009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150463 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Stability Limit for Mode-I Fracture | |
| dc.type | text |