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The effects of geotechnical material properties on the convergence of iterative solvers

Augarde, Charles and Crouch, R.S. and Li, T and Ramage, Alison (2008) The effects of geotechnical material properties on the convergence of iterative solvers. In: The 12th international conference of international association for computer methods and advances in geomechanics (IACMAG). UNSPECIFIED.

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    Abstract

    There is increasing interest in the use of iterative rather than direct solvers for geotechnical finite element analysis. For large 3D problems iterative solvers offer the only possibility of economical solution on a desktop PC. The major stumbling block with iterative solvers is ensuring fast convergence to a suitably accurate solution. The system of equations is always “preconditioned” to improve convergence and the design of preconditioners is a current hot topic in many areas of computational engineering. Effective preconditioning for geotechnical FE is particularly difficult due to (a) the wide range of elasto-plastic constitutive models used and (b) the changing nature of the equations during analysis (due to development of zones of plasticity for instance). In this paper we examine the features of some elasto-plastic material models that affect convergence of iterative solution methods, focussing on analysis of condition numbers of stiffness matrices. It is well-known that frictional material models lead to unsymmetric systems of equations and here we examine the role of the angle of dilation on system condition. The use of the consistent constitutive matrix, instead of the standard constitutive matrix is shown to have an effect on the condition numbers of the systems to be solved.

    Item type: Book Section
    ID code: 40708
    Keywords: effects, geotechnical , material properties, convergence, iterative solvers, finite element analysis, preconditioners, Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 02 Aug 2012 16:17
    Last modified: 06 Sep 2014 17:31
    URI: http://strathprints.strath.ac.uk/id/eprint/40708

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