- Title
- A fast algorithm for finding the first intersection with a non-convex yield surface
- Creator
- Sheng, Daichao; Augarde, Charles E.; Abbo, Andrew J.
- Relation
- Computers and Geotechnics Vol. 38, Issue 4, p. 465-471
- Publisher Link
- http://dx.doi.org/10.1016/j.compgeo.2011.02.008
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2011
- Description
- A major task in the numerical modelling of soils using complex elastoplastic material models is stress updating. This paper proposes a fast and robust numerical algorithm for locating the first intersection between a non-convex yield surface and an elastic trial stress path. The intersection problem is cast into a problem of finding the smallest positive root of a nonlinear function. Such a function may have multiple roots within the interval of interest. The method is based on the modified Steffensen method, with important modifications to address the issues arising from the non-convexity. Numerical examples demonstrate that the proposed M² Steffensen method is indeed computationally efficient and robust.
- Subject
- non-convexity; yield surface intersection; stress integration
- Identifier
- http://hdl.handle.net/1959.13/1064429
- Identifier
- uon:17529
- Identifier
- ISSN:0266-352X
- Language
- eng
- Reviewed
- Hits: 3167
- Visitors: 3134
- Downloads: 0
Thumbnail | File | Description | Size | Format |
---|