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Simulation of Hertzian cone cracks using a phase field description for fracture
Author(s) -
Strobl Michael,
Morand Lukas,
Seelig Thomas
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610077
Subject(s) - indentation , materials science , brittleness , stress field , fracture (geology) , finite element method , nucleation , stress (linguistics) , tension (geology) , phase (matter) , mechanics , compression (physics) , phase field models , fracture mechanics , composite material , structural engineering , engineering , physics , thermodynamics , linguistics , philosophy , quantum mechanics
The present contribution focuses on fracture caused by indentation loading on the surface of a brittle solid. Its theoretical prediction is a challenging task due to the fact that crack nucleation is not geometrically induced, but is caused by the stress concentration in the contact near‐field. The application of the phase field model requires constitutive assumptions to ensure a tension‐compression asymmetric material response and prevent damage in compressed regions. This is achieved at the cost of giving up the variational concept of brittle fracture. We simulate the indentation of a cylindrical flat‐ended punch on brittle materials like silicate glass. In order to reduce the numerical effort, we exploit axisymmetric conditions for the finite element formulation. After crack initiation stable propagation of a cone crack can be observed in good agreement with experiments. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)