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Journal Articles Finite Elements in Analysis and Design Year : 2018

Extended finite element modeling of 3D dynamic crack growth under impact loading

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Abstract

This paper is devoted to the numerical simulation of the dynamic propagation of non-planar 3D cracks Under transient loadings. For that purpose, in an explicit finite element code, the X-FEM with only discontinuous enrichment is used coupled with level sets to represent the crack geometry. We show on a complex example that the commonly used Hamilton-Jacobi based level set updating algorithm lacks robustness and numericalefficiency to model such types of problems. To circumvent this, we introduce a simple geometric updating algorithm that does not involve any equation solving, and is therefore numerically cheap. The robustness of this updating algorithm is demonstrated on several virtual propagation examples. Finally common benchmark used in the literature as well as a complex experiment involving the dynamic propagation of a non-planar 3D crack under impact loading are used to demonstrate the efficiency of the approach.
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Dates and versions

cea-02339953 , version 1 (30-10-2019)

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Cite

T. Elguedj, R. Pelee de Saint Maurice, A. Combescure, V. Faucher. Extended finite element modeling of 3D dynamic crack growth under impact loading. Finite Elements in Analysis and Design, 2018, 151, ⟨10.1016/j.finel.2018.08.001⟩. ⟨cea-02339953⟩
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