A computer code based on the use of the surface integral method, which represents a crack as a distribution of force dipoles, has been developed for modeling 3D nonplanar fractures. The nonplanar geometry was approximated as piecewise linear by subdividing the fracture surface into triangular elemen
โฆ LIBER โฆ
Nonplanar integrability
โ Scribed by Warren Carlson; Robert de Mello Koch; Hai Lin
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 566 KB
- Volume
- 2011
- Category
- Article
- ISSN
- 1126-6708
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It is shown that embeddings of planar graphs in arbitrary surfaces other than the 2-sphere have a special structure. It turns out that these embeddings can be described in terms of noncontractible curves in the surface, meeting the graph in at most two points (which may taken to be vertices of the g