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Three‐dimensional simulations of tensile cracks in geomaterials by coupling meshless and finite element method
Author(s) -
Peng Chong,
Wu Wei,
Zhang Bingyin
Publication year - 2014
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2298
Subject(s) - finite element method , cracking , isotropy , structural engineering , regularized meshless method , tension (geology) , bending , point (geometry) , coupling (piping) , engineering , ultimate tensile strength , materials science , boundary element method , mathematics , composite material , geometry , singular boundary method , physics , quantum mechanics
Summary Failure in geotechnical engineering is often related to tension‐induced cracking in geomaterials. In this paper, a coupled meshless method and FEM is developed to analyze the problem of three‐dimensional cracking. The radial point interpolation method (RPIM) is used to model cracks in the smeared crack framework with an isotropic damage model. The identification of the meshless region is based on the stress state computed by FEM, and the adaptive coupling of RPIM and FEM is achieved by a direct algorithm. Mesh‐bias dependency, which poses difficulties in FEM‐based cracking simulations, is circumvented by a crack tracking algorithm. The performance of our scheme is demonstrated by two numerical examples, that is, the four‐point bending test on concrete beam and the surface cracks caused by tunnel excavation. Copyright © 2014 John Wiley & Sons, Ltd.