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Isotropic yield surfaces in three dimensions for use in soil mechanics
Author(s) -
Van Eekelen H. A. M.
Publication year - 1980
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.1610040107
Subject(s) - convexity , yield (engineering) , yield surface , isotropy , mathematics , class (philosophy) , stress space , point (geometry) , surface (topology) , lode , space (punctuation) , principal (computer security) , geometry , mathematical analysis , geology , engineering , computer science , structural engineering , physics , constitutive equation , finite element method , thermodynamics , paleontology , quantum mechanics , artificial intelligence , financial economics , economics , operating system
When using numerical methods in soil mechanics, one often needs to define a yield surface in three‐dimensional principal‐stress space. A special class of yield surfaces, given by J = ( p + a )α(1−β sin 3ν) n , where ν is the Lode angle, is considered from the point of view of convexity and agreement with experimental data. Some recently proposed yield functions which belong to this class are compared. It is shown that the model with n = −0.229 is optimal as regards convexity, and can give reasonable agreement with the data.