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2016
Journal Article
Titel

Simulation of Hertzian cone cracks using a phase field description for fracture

Abstract
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.
Author(s)
Strobl, M.
Karlsruhe Institute of Technology KIT
Morand, L.
Fraunhofer-Institut für Werkstoffmechanik IWM
Seelig, T.
Karlsruhe Institute of Technology KIT
Zeitschrift
Proceedings in applied mathematics and mechanics. PAMM
Konferenz
International Association of Applied Mathematics and Mechanics (GAMM Annual Meeting) 2016
Thumbnail Image
DOI
10.1002/pamm.201610077
Language
English
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Fraunhofer-Institut für Werkstoffmechanik IWM
Tags
  • phase field

  • brittle fracture

  • cone crack

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