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Modeling shear bands in J 2 plasticity using a two‐scale formulation via embedded strong discontinuity modes
Author(s) -
D'hers Sebastián,
Dvorkin Eduardo N.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2448
Subject(s) - discontinuity (linguistics) , shear band , shear (geology) , plasticity , finite element method , constitutive equation , scale (ratio) , geology , statistical physics , mechanics , geotechnical engineering , materials science , structural engineering , physics , mathematics , mathematical analysis , engineering , composite material , quantum mechanics
A new two‐scale finite element formulation was developed for modeling J 2 plastic deformation processes (2 D ) in which shear band localizations take place. The formulation is based on the use of embedded strong discontinuity modes, which are triggered using a stress‐based criterion. The new formulation does not require a specific mesh refinement to model the localization phenomena and provides mesh‐independent results. The shear bands constitutive behavior is derived from the continuum properties without the introduction of any ad hoc physical law. Copyright © 2008 John Wiley & Sons, Ltd.