Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 54, Issue 3, Pages 399-420Publisher
JOHN WILEY & SONS LTD
DOI: 10.1002/nme.431
Keywords
micro-mechanical damage model; non-local damage model; gradient plasticity; plastic strain gradient; ductile materials; material internal length; finite element method; C-1 continuity
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As soon as material failure dominates a deformation process, the material increasingly displays strain softening and the finite element computation is significantly affected by the element size. Without remedying this effect in the constitutive model one cannot hope for a reliable prediction of the ductile material failure process. In the present paper, a micro-mechanical damage model coupled to gradient-dependent plasticity theory is presented and its finite element algorithm is discussed. By incorporating the Laplacian of plastic strain into the damage constitutive relationship, the known mesh-dependence is overcome and computational results are uniquely correlated with the given material parameters. The implicit C-1 shape function is used and can be transformed to arbitrary quadrilateral elements. The introduced intrinsic material length parameter is able to predict size effects in material failure. Copyright (C) 2002 John Wiley Sons, Ltd.
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