Modelling and Analysis in Geotechnical Engineering

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Published January 12, 2022 | Version 1.1
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IC MAGE Model 08 – Mohr-Coulomb failure criterion with isotropic shear and constrained small strain stiffness and enhanced hysteresis control

Authors/Creators

  • 1. Imperial College London

Description

IC MAGE M08 is a user-defined model for PLAXIS built using the IC MAGE UMIP framework which combines a Mohr-Coulomb failure criterion with a modified version of the IC.G3S isotropic small strain stiffness model and the nonlinear scaling factor proposed by Taborda & Zdravkovic (2012). It allows for the generation of hysteresis (and energy dissipation) by adopting a cyclic nonlinear elastic framework. The elastic part of the model allows the use of independent variations of constrained modulus, with its degradation depending on the vertical strain, and the shear modulus, which depends on the deviatoric strain.

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References

  • Darendeli, M. B. (2001) Development of a new family of normalized modulus reduction and material damping curves. PhD Thesis. University of Texas, Austin.
  • Korma, E. (2014) The Influence of Advanced Features of Cyclic Soil Response on Wave Propagation Problems. M.Sc. thesis. Imperial College London, London, UK.
  • Rollins, K. M., Evans, M. D., Daily, W. D., III & Diehl, N. B. (1998) Shear modulus and damping relationships for gravels. Journal of geotechnical and geoenvironmental engineering, 124 (5), 396-405. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:5(396)
  • Taborda, D.M.G., Potts, D.M. and Zdravković, L. (2016). On the assessment of energy dissipated through hysteresis in finite element analysis. Computers and Geotechnics, 71, 180–194. https://doi.org/10.1016/j.compgeo.2015.09.001
  • Taborda, D.M.G and Zdravković, L. (2012). Application of a Hill-Climbing technique to the formulation of a new cyclic nonlinear elastic constitutive model. Computers and Geotechnics, 43, 80-91. https://doi.org/10.1016/j.compgeo.2012.02.001
  • Vucetic, M. & Dobry, R. (1991) Effect of soil plasticity on cyclic response. Journal of Geotechnical Engineering, ASCE, 117 (1), 89-107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89)