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GRADIENT ENHANCED DAMAGE FOR QUASI‐BRITTLE MATERIALS
Author(s) -
PEERLINGS R. H. J.,
DE BORST R.,
BREKELMANS W. A. M.,
DE VREE J. H. P.
Publication year - 1996
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/(sici)1097-0207(19961015)39:19<3391::aid-nme7>3.0.co;2-d
Subject(s) - brittleness , constitutive equation , partial differential equation , deformation (meteorology) , mechanics , point (geometry) , numerical analysis , numerical models , mathematics , structural engineering , finite element method , materials science , mathematical analysis , physics , geometry , engineering , composite material
Conventional continuum damage descriptions of material degeneration suffer from loss of well‐posedness beyond a certain level of accumulated damage. As a consequence, numerical solutions are obtained which are unacceptable from a physical point of view. The introduction of higher‐order deformation gradients in the constitutive model is demonstrated to be an adequate remedy to this deficiency of standard damage models. A consistent numerical solution procedure of the governing partial differential equations is presented, which is shown to be capable of properly simulating localization phenomena.