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Numerical investigations of shear localization in a micro‐polar hypoplastic material
Author(s) -
Huang Wenxiong,
Bauer Erich
Publication year - 2003
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.275
Subject(s) - shearing (physics) , granular material , void ratio , plane stress , polar , mechanics , constitutive equation , void (composites) , cauchy stress tensor , finite element method , stress path , shear (geology) , geotechnical engineering , shear stress , materials science , classical mechanics , geology , structural engineering , physics , engineering , composite material , astronomy
In this paper a micro‐polar continuum approach is proposed to model the essential properties of cohesionless granular materials like sand. The model takes into account the influence of particle rotations, the mean grain size, the void ratio, the stresses and couple stresses. The constitutive equations for the stresses and couple stresses are incrementally non‐linear and based on the concept of hypoplasticity. For plane strain problems the implementation of the model in a finite element program is described. Numerical studies of the evolution of micro‐polar effects within a granular strip under plane shearing are presented. It is shown that the location and evolution of shear localization is strongly influenced by the initial state and the micro‐polar boundary conditions. For large shearing the state quantities tend towards a stationary state for which a certain coupling between the norm of the stress deviator and the norm of the couple stress tensor can be derived. Copyright © 2003 John Wiley & Sons, Ltd.