Coupling damage and cohesive zone models with the Thick Level Set approach to fracture

Lé, Benoît; Moës, Nicolas; Legrain, Grégory

doi:10.1016/j.engfracmech.2017.12.036

Cited by 12 publications

(10 citation statements)

References 40 publications

(71 reference statements)

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“…When to switch from a diffuse crack to a sharp crack. This transition may be controlled by a damage threshold 1,2,[7][8][9] or energetic considerations, [10][11][12] for instance. 3.…”

Section: Overview Of Continuous-discontinuous Models Of Fracturementioning

confidence: 99%

“… When to switch from a diffuse crack to a sharp crack . This transition may be controlled by a damage threshold or energetic considerations, for instance. Where to locate the sharp crack. Crack tracking techniques may be local (that is, based on crack‐tip strain/stress fields) or global (that is, based on the background damage field in a neighborhood of the crack tip) …”

Section: Introductionmentioning

confidence: 99%

“… How to model sharp cracks. This refers both to the mechanical model (traction‐free cracks versus cohesive cracks equipped with a traction‐separation law) and to the discretization of the discontinuous displacement fields, either with a fitted mesh and node duplication (cohesive zone model, CZM) or an unfitted mesh. Unfitted techniques consist either on a global nodal enrichment (extended finite element method, X‐FEM), or a local element‐based enrichment of the displacement field (strong discontinuity approach, SDA).…”

Section: Introductionmentioning

confidence: 99%

“…Lé et al proposed a continuous‐discontinuous model based on the combination of the thick level set (TLS) with the CZM. The two key ideas are to express the traction‐separation law of the CZM in terms of an interfacial damage field, and to describe this interfacial damage and the bulk TLS damage by means of the same level set function.…”

Section: Introductionmentioning

confidence: 99%

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A continuous‐discontinuous model for crack branching

Tamayo-Mas

Feliu‐Fabà

Casado‐Antolin

et al. 2019

Numerical Meth Engineering

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Summary A new continuous‐discontinuous model for fracture that accounts for crack branching in a natural manner is presented. It combines a gradient‐enhanced damage model based on nonlocal displacements to describe diffuse cracks and the extended finite element method (X‐FEM) for sharp cracks. Its most distinct feature is a global crack tracking strategy based on the geometrical notion of medial axis: the sharp crack propagates following the direction dictated by the medial axis of a damage isoline. This means that, if the damage field branches, the medial axis automatically detects this bifurcation, and a branching sharp crack is thus easily obtained. In contrast to other existing models, no special crack‐tip criteria are required to trigger branching. Complex crack patterns may also be described with this approach, since the X‐FEM enrichment of the displacement field can be recursively applied by adding one extra term at each branching event. The proposed approach is also equipped with a crack‐fluid pressure, a relevant feature in applications such as hydraulic fracturing or leakage‐related events. The capabilities of the model to handle propagation and branching of cracks are illustrated by means of different two‐dimensional numerical examples.

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“…When to switch from a diffuse crack to a sharp crack. This transition may be controlled by a damage threshold 1,2,[7][8][9] or energetic considerations, [10][11][12] for instance. 3.…”

Section: Overview Of Continuous-discontinuous Models Of Fracturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A continuous‐discontinuous model for crack branching

Tamayo-Mas

Feliu‐Fabà

Casado‐Antolin

et al. 2019

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Furthermore, the use of a continuous level set field independent from the underlying finite element discretization alleviates the issue of crack orientation bias. Since its inception, the method has been expanded upon by multiple authors in order to deal with asymmetric constitutive behavior, couple the damage formulation with plasticity and cohesive zone laws, improve the representation of traction‐free sliding in shear, and treat fatigue loading …”

Section: Introductionmentioning

confidence: 99%

Accelerating crack growth simulations through adaptive model order reduction

Rocha

Meer

Mororó

et al. 2020

Numerical Meth Engineering

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Summary Accurate numerical modeling of fracture in solids is a challenging undertaking that often involves the use of computationally demanding modeling frameworks. Model order reduction techniques can be used to alleviate the computational effort associated with these models. However, the traditional offline‐online reduction approach is unsuitable for complex fracture phenomena due to their excessively large parameter spaces. In this work, we present a reduction framework for fracture simulations that leaves out the offline training phase and instead adaptively constructs reduced solutions spaces online. We apply the framework to the thick level set (TLS) method, a novel approach for modeling fracture able to model crack initiation, propagation, branching, and merging. The analysis starts with a fully‐solved load step, after which two consecutive reduction operations—the proper orthogonal decomposition and the empirical cubature method—are performed. Numerical features specific to the TLS method are used to define an adaptive domain decomposition scheme that allows for three levels of model reduction coexisting on the same finite element mesh. Special solutions are proposed that allow the framework to deal with enriched nodes and a dynamic number of integration points. We demonstrate and assess the performance of the framework with a number of numerical examples.

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