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Micromechanical Formulation of the Yield Surface in the Plasticity of Granular Materials
Author(s) -
Homayoun Shaverdi,
Mohd Raihan Taha,
Farzin Kalantary
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/385278
Subject(s) - anisotropy , yield surface , yield (engineering) , materials science , composite material , mathematics , plasticity , geometry , physics , thermodynamics , finite element method , optics , constitutive equation
An equation is proposed to unify the yield surface of granular materials by incorporating the fabric and its evolution. In microlevel analysis by employing a Fourier series that was developed to model fabric, it is directly included in the strength of granular materials. Inherent anisotropy is defined as a noncoaxiality between deposition angle and principal compressive stress. Stress-induced anisotropy is defined by the degree of anisotropy and the major direction of the contact normals. The difference between samples which have the same density (or void ratio) but different bedding angles is attributed to this equation. The validity of the formulation is verified by comparison with experimental data

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