- Title
- Discontinuity layout optimization with adaptive node refinement
- Creator
- Crumpton, M.; Abbo, A. J.; Sloan, S. W.
- Relation
- 14th International Conference of the International Association for Computer Methods and Recent Advances in Geomechanics. Computer Methods and Recent Advances in Geomechanics (Kyoto, Japan 22-25 September, 2014) p. 141-146
- Publisher Link
- http://dx.doi.org/10.1201/b17435-21
- Publisher
- Taylor & Francis
- Resource Type
- conference paper
- Date
- 2015
- Description
- Discontinuity Layout Optimization (DLO) (Smith & Gilbert 2007) is an upper bound limit analysis technique for modeling the stability of geotechnical problems. Meshes used for DLO are typically generated by interconnecting a set of nodes (n) located at regular grid points within a domain. A regular grid allows the required mesh topology to be generated in approximately O(n²) time by searching for pairs of integer coordinates with unity as their greatest common divisor. This technique avoids impractical O(n³) worst case mesh generation times, but produces a non-optimal discretization. Using the concept of point-line duality, a procedure for assembling meshes on a non-uniform cloud of nodes in O(n²) time is proposed. The flexibility afforded by this newmethod is used to adaptively refine a DLO mesh by adding nodes in regions with the greatest estimated error. The effectiveness of this procedure is demonstrated by analyzing the stability of a strip footing on a Mohr-Coulomb soil.
- Subject
- discontinuity layout optimization; adaptive node refinement; upper bound limit analysis; geotechnical problems; stability
- Identifier
- http://hdl.handle.net/1959.13/1332310
- Identifier
- uon:26842
- Identifier
- ISBN:9781138001480
- Language
- eng
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