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Strength of Materials

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10-03-2021

Phase Field Modeling of Hertzian Cone Cracks Under Spherical Indentation

Authors: V. M. Kindrachuk, A. Klunker

Published in: Strength of Materials | Issue 6/2020

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Abstract

A phase field model of brittle fracture has been developed to simulate the Hertzian crack induced by penetration of a rigid sphere to an isotropic linear-elastic half-space. The fracture formation is regarded as a diffusive field variable, which is zero for the intact material and unity if there is a crack. Crack growth is assumed to be driven by a strain invariant. The numerical implementation is performed with the finite element method and an implicit time integration scheme. The mechanical equilibrium and the phase field equations are solved in a staggered manner, sequentially updating the displacement field and the phase field variable. Numerical examples demonstrate the capability of the model to reproduce the nucleation and growth of the Hertzian cone crack.

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Title: Phase Field Modeling of Hertzian Cone Cracks Under Spherical Indentation
Authors: V. M. Kindrachuk
A. Klunker
Publication date: 10-03-2021
Publisher: Springer US
Published in: Strength of Materials / Issue 6/2020
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI: https://doi.org/10.1007/s11223-021-00251-9

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