Diffuse interface approach to brittle fracture
| dc.creator | Marconi, V. I. | |
| dc.creator | Jagla, E. A. | |
| dc.date | 2004-01-22 | |
| dc.date | 2005-02-02 | |
| dc.date.accessioned | 2026-07-07T07:42:57Z | |
| dc.date.available | 2026-07-07T07:42:57Z | |
| dc.description | We present a continuum model for the propagation of cracks and fractures in brittle materials. The components of the strain tensor $ε$ are the fundamental variables. The evolution equations are based on a free energy that reduces to that of linear elasticity for small $ε$, and accounts for cracks through energy saturation at large values of $ε$. We regularize the model by including terms dependent on gradients of $ε$ in the free energy. No additional fields others than the strain tensor $ε$ are introduced, and then the whole dynamics is perfectly defined. We validate the model in controlled cases, and present a couple of non trivial applications. | |
| dc.description | Version to appear in PRE, Vol. 71, February, 14 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0401431 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0401431 | |
| dc.identifier | Phys. Rev. E 71, 036110 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.71.036110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122638 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Materials Science | |
| dc.title | Diffuse interface approach to brittle fracture | |
| dc.type | text |