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Rational approach to anisotropy of sand
Author(s) -
Wu Wei
Publication year - 1998
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/(sici)1096-9853(1998110)22:11<921::aid-nag948>3.0.co;2-j
Subject(s) - anisotropy , constitutive equation , yield surface , salient , plasticity , objectivity (philosophy) , bedding , deformation (meteorology) , stress space , geotechnical engineering , materials science , mathematics , geometry , geology , physics , structural engineering , computer science , engineering , finite element method , composite material , optics , philosophy , epistemology , artificial intelligence , horticulture , biology
The paper presents a constitutive model for the three‐dimensional deformation–strength behaviour of inherently anisotropic sand. Based on non‐linear tensorial functions, the model is developed without recourse to the concepts in plasticity theory such as yield surface and plastic potential. Benefited from the fact that no decomposition of strain into elastic and plastic parts is assumed, a unified treatment of anisotropic behaviour of deformation and strength is achieved. Anisotropy is characterized by a vector normal to the bedding plane. The extension of the constitutive model is furnished by incorporating the vector under consideration of the principle of objectivity and the condition of material symmetry. Distinct features of the model are its elegant formulation and its simple structure involving few material parameters. Model performance and comparison with experiments show that the model is capable of capturing the salient behaviour of anisotropic sand. © 1998 John Wiley & Sons, Ltd.