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A new method to calculate the equivalent Mohr–Coulomb friction angle for cohesive and frictional materials
Author(s) -
Jiang Hua,
Wang Xiaowo
Publication year - 2011
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.922
Subject(s) - mohr–coulomb theory , friction angle , principal stress , stress space , stress (linguistics) , coulomb friction , space (punctuation) , transformation (genetics) , invariant (physics) , coulomb , geotechnical engineering , surface (topology) , function (biology) , structural engineering , materials science , mathematical analysis , mechanics , mathematics , geometry , engineering , physics , finite element method , constitutive equation , computer science , cauchy stress tensor , mathematical physics , nonlinear system , chemistry , philosophy , linguistics , operating system , biochemistry , quantum mechanics , electron , gene , biology , evolutionary biology
In this note, a new method to calculate the equivalent Mohr–Coulomb friction angle ϕ′ mc for cohesive and frictional materials is presented. This method makes a transformation from the failure surface for cohesive materials to the failure surface for cohesionless materials and obtains ϕ′ mc as well as the principal stress ratio σ′ 1 /σ′ 3 for cohesionless materials in the transformed space first, then obtains ϕ′ mc for cohesive materials by linking σ′ 1 /σ′ 3 in the transformed space and in the original space. In the application example, an analytical solution of the invariant stress ratio L is derived from the failure function in the transformed space. The influence of the intermediate effective principal stress σ′ 2 is also demonstrated using the already calculated ϕ′ mc . Copyright © 2010 John Wiley & Sons, Ltd.