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Simulation of brittle crack growth in functionally graded materials
Author(s) -
Mahnken Rolf
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810305
Subject(s) - delaunay triangulation , dissipation , brittleness , deformation (meteorology) , material properties , materials science , geometry , mechanics , mathematics , structural engineering , physics , composite material , engineering , thermodynamics
We consider a thermodynamic consistent framework for crack propagation by applying a dissipation inequality to a time dependent migrating control volume. The direction of crack growth is obtained in terms of material forces as a result of the principle of maximum dissipation. In the numerical implementation a staggered algorithm – deformation update for fixed geometry followed by geometry update for fixed deformation – is employed within each time increment. The corresponding mesh is generated by combining Delaunay triangulation with local mesh refinement. A numerical example with inhomogeneous material properties illustrates the capability of the resulting algorithm. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)