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

: Strobl, M.; Morand, L.; Seelig, T.


Proceedings in applied mathematics and mechanics. PAMM 16 (2016), Nr.1, S.177-178
ISSN: 1617-7061
International Association of Applied Mathematics and Mechanics (GAMM Annual Meeting) <87, 2016, Braunschweig>
Zeitschriftenaufsatz, Konferenzbeitrag
Fraunhofer IWM ()
phase field; brittle fracture; cone crack

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.