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Non‐associative constitutive laws for low porosity rocks
Author(s) -
Senseny Paul E.,
Fossum Arlo F.,
Pfeifle Tom W.
Publication year - 1983
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.1610070110
Subject(s) - constitutive equation , von mises yield criterion , law , geotechnical engineering , porosity , yield (engineering) , deformation (meteorology) , hardening (computing) , mechanics , stress (linguistics) , rotational symmetry , materials science , mathematics , structural engineering , geology , engineering , finite element method , composite material , physics , linguistics , philosophy , layer (electronics) , political science
Two simple constitutive laws appropriate for elastic–plastic deformation up to peak load of low porosity rocks are presented. Both laws account for mean stress dependence of yield hardening between yield and peak strength and non‐associative plastic straining. The two constitutive laws are based on the Mohr–Coulomb and the Mises–Schleicher yield criteria. The yield criteria are matched at axisymmetric compression and the relationships among the constitutive parameters are given. The parameters are then evaluated for two evaporite rocks anhydrite and polyhalite based on axisymmetric compression data. Comparison of predicted stress–strain laws with those measured in the laboratory show that these laws can be used for engineering analysis.