A hybrid XFEM –Phase field (Xfield) method for crack propagation in brittle elastic materials

Journal article (2017)

Authors

Bianca Giovanardi Politecnico di Milano, MOX

Anna Scotti Politecnico di Milano

Luca Formaggia Politecnico di Milano

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Crack propagation XFEM Brittle fracture Phase field

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Published Date

2017

Language

English

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Abstract

The present work proposes a novel method for the simulation of crack propagation in brittle elastic materials that combines two of the most popular approaches in literature. A large scale displacement solution is obtained with the well known extended finite elements method (XFEM), while propagation is governed by the solution of a local phase field problem at the tip scale. The method, which we will refer to as Xfield, is here introduced and tested in 2D under mixed modes I and II loads. The main features and the capability of the Xfield to efficiently simulate crack propagation are shown in some numerical benchmarks.