2D Fracture Network Mathematics
| dc.contributor.author | Daniel Brox | |
| dc.date.accessioned | 2025-12-04T01:00:39Z | |
| dc.date.issued | 2025-12-03 | |
| dc.description.abstract | 2D elastostatic displacement solutions for the Yoffe Mode I and Rice Mode II crack models are reviewed. These solutions are used to introduce the elastostatic displacement solution for a 2D Mode I/II multi-crack configuration in terms of meromorphic differential forms on a hyperelliptic curve. Using the multi-crack solution, a picture of crack growth as motion of a point in a moduli space of Riemann surfaces is presented, whereby the the final rupture configuration of the crack may be associated with a singular Riemann surface such as a Riemann sphere with a pair of points identified. | |
| dc.description.provenance | Submitted by Daniel Brox (dbrox@ece.ubc.ca) on 2025-12-04T01:00:39Z No. of bitstreams: 1 TFN.pdf: 403651 bytes, checksum: 1642d33ab36209c09740219123a44a26 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2025-12-04T01:00:39Z (GMT). No. of bitstreams: 1 TFN.pdf: 403651 bytes, checksum: 1642d33ab36209c09740219123a44a26 (MD5) Previous issue date: 2025-12-03 | en |
| dc.identifier.uri | https://africarxiv.ubuntunet.net/handle/1/10610 | |
| dc.language.iso | en | |
| dc.publisher | SCIRP | |
| dc.title | 2D Fracture Network Mathematics | |
| dc.type | Article |