D. Sheng
A fast algorithm for finding the first intersection with a non-convex yield surface
Sheng, D.; Augarde, C.E.; Abbo, A.
Abstract
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.
Citation
Sheng, D., Augarde, C., & Abbo, A. (2011). A fast algorithm for finding the first intersection with a non-convex yield surface. Computers and Geotechnics, 38(4), 465-471. https://doi.org/10.1016/j.compgeo.2011.02.008
Journal Article Type | Article |
---|---|
Publication Date | Jun 1, 2011 |
Deposit Date | Apr 1, 2011 |
Journal | Computers and Geotechnics |
Print ISSN | 0266-352X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 38 |
Issue | 4 |
Pages | 465-471 |
DOI | https://doi.org/10.1016/j.compgeo.2011.02.008 |
Keywords | Non-convexity, Yield surface intersection, Stress integration. |
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