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Computational aspects of three‐phase modelling using a suction dependent cap model
Author(s) -
Gamnitzer Peter,
Hofstetter Günter
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410195
Subject(s) - robustness (evolution) , nonlinear system , suction , context (archaeology) , mathematics , stress (linguistics) , projection (relational algebra) , computer science , mathematical optimization , algorithm , engineering , chemistry , mechanical engineering , physics , geology , paleontology , biochemistry , linguistics , philosophy , quantum mechanics , gene
This contribution is on computational aspects of the application of a suction dependent modified cap model for geomaterials, which was presented at the 84th GAMM annual meeting. The modified cap model features an elasto‐plastic material response and is formulated in terms of two independent stress variables, generalised effective stress and matric suction. It has a smooth, suction dependent yield surface. The cap model is usually used in the context of coupled three‐phase simulations. Thus, the computational aspects that will be discussed below comprise several levels: i) the stress projection level (at which a robust one equation projection scheme with improved start‐up procedure is applied), ii) the nonlinear system solution level (at which a line search is suggested to increase robustness) and iii) the linear system solution level (for which iterative solvers and preconditioners are discussed which have been found suitable for the problem under consideration). (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)