A level set based model for damage growth: The thick level set approach

By Nicolas Moës, Claude Stolz, Paul-Emile Bernard, Nicolas Chevaugeon. 2011

284 citations recorded by the source corpus.

In this paper, we introduce a new way to model damage growth in solids. A level set is used to separate the undamaged zone from the damaged zone. In the damaged zone, the damage variable is an explicit function of the level set. This function is a parameter of the model. Beyond a critical length, we assume the material to be totally damaged, thus allowing a straightforward transition to fracture. The damage growth is expressed as a level set propagation. The configurational force driving the damage front is non‐local in the sense that it averages information over the thickness in the wake of the front. The computational and theoretical advantages of the new damage model are stressed. Numerical examples demonstrate the capability of the new model to initiate cracks and propagate them even in complex topological patterns (branching and merging for instance). Copyright © 2010 John Wiley & Sons, Ltd.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ae58ad528383f056e24548ff999dadbccca8a6e1

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In Mechanics of Materials

Citations in the corpus

Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “The recently proposed Thick Level Set (TLS) method (Moës et al. 2011) is an attempt at addressing these questions.”
Damage growth modeling using the Thick Level Set (TLS) approach: Efficient discretization for quasi-static loadings (2012, unknown): “[24], in particular to propose an efficient, simple and robust way to implement the TLS model, trivially extensible to three dimensions.”
2D and 3D Abaqus implementation of a robust staggered phase-field solution for modeling brittle fracture (2017, methodology): “The eventually obtained fracture pattern is in excellent agreement with previous results [27, 31, 32].”
Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mechanisms (2017, methodology): “Continuum descriptions of cohesive fractures have also been proposed using the phase-field approach [43, 65], continuum damage-gradient [41] or the thick-level set (TLS) method [47], see also [15] for a comparison between the TLS and the phase-field approach.”
Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “, [18, 83], and the thick level set method [85].”
Toughness or strength? Regularization in phase-field fracture explained by the coupled criterion (2020, background): “∗Corresponding author Email address: gergely.molnar@insa-lyon.fr (Gergely Molnár) Preprint submitted to Theoretical and Applied Fracture Mechanics August 4, 2020 Smeared approaches, such as the thick level set (TLS) (Moës et al., 2011) or the gradient damage models (Bourdin et al., 2000a; Miehe et”