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Time‐dependent multilaminate model of rocks—a numerical study of deformation and failure of rock masses
Author(s) -
Zienkiewicz O. C.,
Pande G. N.
Publication year - 1977
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.1610010302
Subject(s) - geotechnical engineering , context (archaeology) , plasticity , geology , plane stress , stability (learning theory) , deformation (meteorology) , shear (geology) , plane (geometry) , ultimate tensile strength , mechanics , geometry , structural engineering , materials science , engineering , mathematics , finite element method , computer science , physics , composite material , petrology , paleontology , oceanography , machine learning
A new model for rocks and rock‐like material with multiple planes of weakness is proposed. The behaviour of the assembly applies tensile and Mohr‐Coulomb shear limits on each such plane with possible strain dependence of frictional properties. The visco‐plastic algorithm which allows the incorporation of time effects is used to obtain static solutions. The model is illustrated in actual context by applications to stability of rock slopes and behaviour of tunnels. A generalization of the model to include arbitrary three‐dimensional distribution of laminae in ‘quasi‐plane strain’ is included. The effect of various flow rules adopted for plastic straining is indicated.