Direct expressions for linearization of shear strength envelopes given by the Generalized Hoek-Brown criterion using genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.3872

@Article{Shen2012139,
  author =       "Jiayi Shen and Murat Karakus and Chaoshui Xu",
  title =        "Direct expressions for linearization of shear strength
                 envelopes given by the Generalized {Hoek-Brown}
                 criterion using genetic programming",
  journal =      "Computers and Geotechnics",
  volume =       "44",
  pages =        "139--146",
  year =         "2012",
  ISSN =         "0266-352X",
  DOI =          "doi:10.1016/j.compgeo.2012.04.008",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0266352X1200064X",
  keywords =     "genetic algorithms, genetic programming, Generalised
                 Hoek-Brown, Mohr-Coulomb, Shear strength, Rock mass",
  abstract =     "The non-linear Generalized Hoek-Brown (GHB) criterion
                 is one of the most broadly adopted failure criteria
                 used to estimate the strength of a rock mass. However,
                 when limit equilibrium and shear strength reduction
                 methods are used to analyse rock slope stability, the
                 strength of the rock mass is generally expressed by the
                 linear Mohr-Coulomb (MC) criterion. If the GHB
                 criterion is used in conjunction with existing methods
                 for analysing the rock slope, methods are required to
                 determine the equivalent MC shear strength from the GHB
                 criterion. Deriving precise analytical solutions for
                 the equivalent MC shear strength from the GHB criterion
                 has not proved to be straightforward due to the
                 complexities associated with mathematical derivation.
                 In this paper, an approximate analytical solution for
                 estimating the rock mass shear strength from the GHB
                 criterion is proposed. The proposed approach is based
                 on a symbolic regression (SR) analysis performed by
                 genetic programming (GP). The reliability of the
                 proposed GP solution is tested against numerical
                 solutions. The results show that shear stress estimated
                 from the proposed solution exhibits only 0.97percent
                 average discrepancy from numerical solutions using 2451
                 random sets of data. The proposed solution offers great
                 flexibility for the application of the GHB criterion
                 with existing methods based on the MC criterion for
                 rock slope stability analysis.",
}

Genetic Programming entries for Jiayi Shen Murat Karakus Chaoshui Xu

Citations