Sheng, D. and Augarde , C.E. and Abbo, A. (2011) 'A fast algorithm for finding the first intersection with a non-convex yield surface.', Computers and geotechnics., 38 (4). pp. 465-471.
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.
|Keywords:||Non-convexity, Yield surface intersection, Stress integration.|
|Full text:||Full text not available from this repository.|
|Publisher Web site:||http://dx.doi.org/10.1016/j.compgeo.2011.02.008|
|Record Created:||22 Jun 2011 09:35|
|Last Modified:||22 Jun 2011 12:47|
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