A Direct Derivation of the Griffith-Irwin Relationship using a Crack tip Unloading Stress Wave Model
| dc.creator | Neal-Sturgess, C. E. | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:09:36Z | |
| dc.date.available | 2026-07-07T10:09:36Z | |
| dc.description | It is the purpose of this short paper to show that the well known Griffiths theory of brittle fracture can be re-interpreted as a simple case of a modified Hamiltonian, and corresponds to a stationary action solution using the Euler-Lagrange equations. In this derivation it is still necessary to employ the equivalence with Irwins stress intensity factor approach to obtain the Griffith-Irwin equation. It is then shown that if physics of fracture is modelled using a simplified crack tip stress wave unloading model, then the Griffith-Irwin relationship can be derived in a single process, which is a major simplification of the procedure. Also the simplified crack tip stress wave unloading model employed gives a much clearer view of the basic physics of fracture. Keywords: Fracture, Griffiths, Hamiltonians, stress waves. | |
| dc.description | 8 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0810.2218 | |
| dc.identifier | http://arxiv.org/abs/0810.2218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171370 | |
| dc.subject | Materials Science | |
| dc.title | A Direct Derivation of the Griffith-Irwin Relationship using a Crack tip Unloading Stress Wave Model | |
| dc.type | text |