Dynamic crack propagation under mixed-mode loading – Comparison between experiments and X-FEM simulations

By David Grégoire, H. Maigre, J. Réthoré, Alain Combescure. 2007

138 citations recorded by the source corpus.

The objective of this paper is to describe a simple dynamic crack propagation experiment which reproduces two phenomena: mixed-mode propagation and crack stop and restart. This experiment is explained and interpreted using X-FEM simulations. We show that a simple fracture theory which consists in using a dynamic crack initiation toughness, a crack orientation along the maximum principal stress and a simple equation for the calculation of the crack speed is sufficient to explain what is observed experimentally.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/996641a7e45384f37935fef901d4f367c1ea940b

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In Mechanics of Materials

Citations in the corpus

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics (2017, methodology): “Impact on a PMMA specimen with a crack emanating from a hole This example involves the dynamic fracture of a PMMA specimen during a split Hopkinson pressure bar test [116].”
Dynamic crack propagation analysis of orthotropic media by the extended finite element method (2009, methodology): “In this method, the dynamic crack growth toughness is considered to be (Gregoire et al. 2007): K ∗ < K1d (no ini tiation) K ∗ = K1d , θ∗ = θc (ini tiation) (1) K ∗(t, v) ≥ K1d(v) ⇒ K ∗(t, v) = K1D(v) (propagation) where K ∗ is the dynamic maximum hoop stress intensity factor, K1d is the dynamic…”
Simulations of instability in dynamic fracture by the cracking particles method (2009, unknown): “[7], good agreement was obtained with experiments in PMMA without a void model at lower crack propagation speeds at which there were no instabilities.”
Polygon scaled boundary finite elements for crack propagation modelling (2012, methodology): “They have been applied to solve many crack propagation problems both in statics and dynamics [16–19].”
A three-dimensional numerical investigation of the fracture of rock specimens containing a pre-existing surface flaw (2012, methodology): “Many numerical methods have been applied to investigate the fracturing of cracks in rocks [18–32].”
Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microCT experiments and phase field simulations (2016, methodology): “Grégoire et al. (2007) performed direct comparisons of dynamic crack paths under mixed modes in transparent PMMA loaded in split”
An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation (2020, methodology): “This is a significant problem, because when using other simulation techniques (e.g. XFEM [69]) the kinetics of the crack is determined by the above relationship which is assumed to be a material property.”
An explicit dynamics extended finite element method. Part 2: Element-by-element stable-explicit/explicit dynamic scheme (2009, methodology): “[22], we use two different values for the dynamic fracture toughness: one for the initiation and one for the propagation.”
Material point method with enriched shape function for crack problems (2017, methodology): “The relationship between the dynamic crack initiation toughness and the dynamic crack growth toughness is [51,52] KID(ȧ) = KIC 1 − ( C CR ) (82)”