A simulation method for high‐cycle fatigue‐driven delamination using a cohesive zone model

Bak, Brian Lau Verndal; Turón, A.; Lindgaard, Esben; Lund, Erik

doi:10.1002/nme.5117

Cited by 73 publications

(56 citation statements)

References 32 publications

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“…Instead of using the single point (SP) estimation, the ERR can also be extracted by computing the J‐integral around the interface elements as done by Bak et al This is equal to integrating the traction‐separation behavior of the complete FPZ. The J‐integral over the FPZ can be defined as follows:

G_{normalJ} = true \int_{0}^{\max (δ)} τ normald δ,

which is computed by means of the Riemann sum.…”

Section: Materials Behaviormentioning

confidence: 99%

“…Harper and Hallett 20 showed that the ERR of a specimen is equal to the local ERR G sp of a single material point at the physical crack tip. Instead of using the single point (SP) estimation, the ERR can also be extracted by computing the J-integral around the interface elements as done by Bak et al 19 This is equal to integrating the traction-separation behavior of the complete FPZ. The J-integral over the FPZ can be defined as follows:…”

Section: Cohesive Zone Modelmentioning

confidence: 99%

“…The first model is a CZ model that uses a static cohesive law as starting point. The CZ model is implemented with the two different ERR extraction methods given by Bak et al and by Harper and Hallet . The second model uses the ITLS method where the ERR extraction method follows from the work of Voormeeren et al Unlike current ITLS models, the length of the FPZ is not a user input, but will follow automatically from the simulation.…”

Section: Introductionmentioning

confidence: 99%

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A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

Dekker

Meer

Maljaars

et al. 2019

Numerical Meth Engineering

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Summary Structures are subjected to cyclic loads that can vary in direction and magnitude, causing constant amplitude mode I simulations to be too simplistic. This study presents a new approach for fatigue crack propagation in ductile materials that can capture mixed‐mode loading and overloading. The extended finite element method is used to deal with arbitrary crack paths. Furthermore, adaptive meshing is applied to minimize computation time. A fracture process zone ahead of the physical crack tip is represented by means of cohesive tractions from which the energy release rate, and thus the stress intensity factor can be extracted for an elastic‐plastic material. The approach is therefore compatible with the Paris equation, which is an empirical relation to compute the fatigue crack growth rate. Two different models to compute the cohesive tractions are compared. First, a cohesive zone model with a static cohesive law is used. The second model is based on the interfacial thick level set method in which tractions follow from a given damage profile. Both models show good agreement with a mode I analytical relation and a mixed‐mode experiment. Furthermore, it is shown that the presented models can capture crack growth retardation as a result of an overload.

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G_{normalJ} = true \int_{0}^{\max (δ)} τ normald δ,

which is computed by means of the Riemann sum.…”

Section: Materials Behaviormentioning

confidence: 99%

Section: Cohesive Zone Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

Dekker

Meer

Maljaars

et al. 2019

Numerical Meth Engineering

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show abstract

“…Several methods have been proposed based on the Finite Element Method framework and have been used to simulate interface crack propagation convincingly. Recent examples include the Virtual Crack Closing Technique (VCCT) [9], the Crack Surface Displacement Extrapolation method (CSDE) [10][11] as well as cohesive zone modelling (CZM) [12]. Moreover, the CSDE method has been applied in conjunction with the cycle jump technique (CJT) [13][14][15] to reduce the calculated loading cycles of fatigue simulations.…”

Section: Manuscriptmentioning

confidence: 99%

Interfacial Crack Arrest in Sandwich Panels with Embedded Crack Stoppers Subjected to Fatigue Loading

et al. 2016

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Abstract:A novel crack arresting device has been implemented in sandwich panels and tested using a special rig to apply out-of-plane loading on the sandwich panel face-sheets. Fatigue crack propagation was induced in the face-core interface of the sandwich panels which met the crack arrester. The effect of the embedded crack arresters was evaluated in terms of the achieved enhancement of the damage tolerance of the tested sandwich panels. A finite element (FE) model of the experimental setup was used for predicting propagation rates and direction of the crack growth. The FE simulation was based on the adoption of linear fracture mechanics and a fatigue propagation law (i.e. Paris law) to predict the residual fatigue life-time and behaviour of the test specimens. Finally, a comparison between the experimental results and the numerical simulations was made to validate the numerical predictions as well as the overall performance of the crack arresters. ABSTRACT:A novel crack arresting device has been implemented in sandwich panels and tested using a special rig to apply out-ofplane loading on the sandwich panel face-sheets. Fatigue crack propagation was induced in the face-core interface of the sandwich panels which met the crack arrester. The effect of the embedded crack arresters was evaluated in terms of the achieved enhancement of the damage tolerance of the tested sandwich panels. A finite element (FE) model of the experimental setup was used for predicting propagation rates and direction of the crack growth. The FE simulation was based on the adoption of linear fracture mechanics and a fatigue propagation law (i.e. Paris law) to predict the residual fatigue life-time and behaviour of the test specimens. Finally, a comparison between the experimental results and the numerical simulations was made to validate the numerical predictions as well as the overall performance of the crack arresters.

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“…In [28], the authors incorporated a link between the damage rate, dD/dN , and the crack growth rate, da/dN , which was later followed in [29][30][31][33][34][35]. By using this approach, any influence of the load ratio, R, and/or the mode mixity, Φ, is included in the formulation by means of a phenomenological model for the crack growth rate, da/dN = f (G max , R, Φ...).…”

Section: Introductionmentioning

confidence: 99%

A simulation method for fatigue-driven delamination in layered structures involving non-negligible fracture process zones and arbitrarily shaped crack fronts

Carreras

Turón

Bak

et al. 2019

Composites Part A: Applied Science and Manufacturing

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Most of the existing methods for fatigue-driven delamination are limited to two-dimensional (2D) applications or their predictive capabilities have not been validated in three-dimensional (3D) problems.This work presents a new cohesive zone-based computational method for simulating fatigue-driven delamination in the analysis of 3D structures without crack migration. The method accurately predicts fatigue propagation of non-nelgigible fracture process zones with arbitrarily shaped delamination fronts.The model does not require any kind of fitting parameter since all the input parameters are obtained experimentally from coupon tests. The evaluation of the energy release rate is done using two new techniques recently developed by the authors (the growth driving direction and the mode-decomposed J-integral) leading to an accurate prediction of delamination propagation under mixed-mode and nonself-similar growing conditions. The new method has been implemented as a UEL for Abaqus and validated against an experimental benchmark case with varying crack growth rate and shape and extension of the fracture process zone.

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A simulation method for high‐cycle fatigue‐driven delamination using a cohesive zone model

Cited by 73 publications

References 32 publications

A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

Interfacial Crack Arrest in Sandwich Panels with Embedded Crack Stoppers Subjected to Fatigue Loading

A simulation method for fatigue-driven delamination in layered structures involving non-negligible fracture process zones and arbitrarily shaped crack fronts

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