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Gradient‐enhanced ductile damage — a finite deformation framework with application to DP800
Author(s) -
Sprave Leon,
Menzel Andreas
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800232
Subject(s) - finite element method , isotropy , plasticity , materials science , exponential function , structural engineering , deformation (meteorology) , mechanics , mathematical analysis , mathematics , composite material , physics , engineering , quantum mechanics
Gradient‐enhanced ductile damage is implemented in the finite element method by means of an additional field variable, representing non‐local damage which is linked to the local damage variable. At material point level the isotropic damage formulation uses exponential damage functions to circumvent further constraints on the value set of the local damage variable. The ductility of the model is achieved by a coupling of damage to finite strain plasticity. In a multisurface approach the onset of damage and plasticity is each governed by damage and yield criteria respectively. Linear and exponential isotropic hardening is implemented. With the help of the F‐bar method the results of the finite element simulation exhibit mesh independent behaviour. In order to model the behaviour of DP800 with the material model discussed here, elastic and plastic parameters are identified.