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LOCALIZATION PROPERTIES OF A FRICTIONAL MATERIAL MODEL BASED ON REGULARIZED STRONG DISCONTINUITY
Author(s) -
LARSSON RAGNAR,
RUNESSON KENNETH,
AXELSSON KENNETH
Publication year - 1996
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(199611)20:11<771::aid-nag847>3.0.co;2-m
Subject(s) - discontinuity (linguistics) , plasticity , bifurcation , constitutive equation , bifurcation theory , mechanics , deformation (meteorology) , mathematics , mathematical analysis , statistical physics , nonlinear system , geometry , physics , finite element method , thermodynamics , quantum mechanics , meteorology
A frictional material model is investigated with respect to the existence and development of a regularized strong discontinuity within the constitutive framework of plasticity theory. It appears that the condition for the existence of such a discontinuity is identical to the classical bifurcation criterion for band shaped bifurcation in the rate of deformation field. The model behaviour is also discussed beyond onset of localization, for a band with fixed orientation, where the state variables are allowed to change.