A cohesive zone model for fatigue crack growth allowing for crack retardation

Ural, Anı; Krishnan, Venkat R.; Papoulia, Katerina D.

doi:10.1016/j.ijsolstr.2009.01.031

Cited by 101 publications

(58 citation statements)

References 21 publications

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“…A rigid-linear law was implemented by Camacho and Ortiz (1996) to investigate the propagation of numerous cracks along random paths in a brittle material. Another study involving a rigid-linear CZM involved a damagebased CZM for simulating fatigue under cyclic loading (Ural et al, 2009). …”

Section: Introductionmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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a b s t r a c tThis paper, the second of two parts, presents three novel finite element case studies to demonstrate the importance of normal-tangential coupling in cohesive zone models (CZMs) for the prediction of mixed-mode interface debonding. Specifically, four new CZMs proposed in Part I of this study are implemented, namely the potential-based MP model and the non-potential-based NP1, NP2 and SMC models. For comparison, simulations are also performed for the well established potential-based Xu-Needleman (XN) model and the non-potential-based model of van den Bosch, Schreurs and Geers (BSG model). Case study 1: Debonding and rebonding of a biological cell from a cyclically deforming silicone substrate is simulated when the mode II work of separation is higher than the mode I work of separation at the cell-substrate interface. An active formulation for the contractility and remodelling of the cell cytoskeleton is implemented. It is demonstrated that when the XN potential function is used at the cell-substrate interface repulsive normal tractions are computed, preventing rebonding of significant regions of the cell to the substrate. In contrast, the proposed MP potential function at the cell-substrate interface results in negligible repulsive normal tractions, allowing for the prediction of experimentally observed patterns of cell cytoskeletal remodelling. Case study 2: Buckling of a coating from the compressive surface of a stent is simulated. It is demonstrated that during expansion of the stent the coating is initially compressed into the stent surface, while simultaneously undergoing tangential (shear) tractions at the coating-stent interface. It is demonstrated that when either the proposed NP1 or NP2 model is implemented at the stent-coating interface mixed-mode over-closure is correctly penalised. Further expansion of the stent results in the prediction of significant buckling of the coating from the stent surface, as observed experimentally. In contrast, the BSG model does not correctly penalise mixed-mode over-closure at the stent-coating interface, significantly altering the stress state in the coating and preventing the prediction of buckling. Case study 3: Application of a displacement to the base of a bi-layered composite arch results in a symmetric sinusoidal distribution of normal and tangential traction at the arch interface. The traction defined mode mixity at the interface ranges from pure mode II at the base of the arch to pure mode I at the top of the arch. It is demonstrated that predicted debonding patterns are highly sensitive to normal-tangential coupling terms in a CZM. The NP2, XN, and BSG models exhibit a strong bias towards mode I separation at the top of the arch, while the NP1 model exhibits a bias towards mode II debonding at the base of the arch. Only the SMC model provides mode-independent behaviour in the early stages of debonding. This case study provides a practical example of the importance of the behaviour of CZMs under conditions of traction controlled mode mixity, foll...

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Section: Introductionmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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show abstract

“…Cohesive zone models (CZM) have been used increasingly in recent years to simulate crack initiation, propagation and failure [15][16][17][18][19]. The cohesive zone method offers a number of advantages over other methods for the determination of damage and failure such as; no initial crack is required to model failure and a small number of parameters are needed to calibrate the model when compared to most continuum damage models.…”

Section: 8% Rh and Immersed In Watermentioning

confidence: 99%

Strength prediction of adhesive joints after cyclic moisture conditioning using a cohesive zone model

Mubashar

Ashcroft

Critchlow

et al. 2011

Engineering Fracture Mechanics

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“…Roe and Siegmund [12] considered the effects of the interface fatigue crack growth under different loading modes using an irreversible CZM, and while most of the simulation results were performed under the linear Paris' region, high rates associated with Regime III were not demonstrated. Ural et al [24] used a damage-based cohesive model to predict the fatigue crack growth behavior in Regime II of an aluminum alloy. However, the application of this model has not been identified in Regime III also.…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, these models [27,28] do not mention their applications for fatigue crack growth at the high ΔK levels in Regime III. Although the Paris-like behavior which corresponds to the moderate ΔK levels in Regime II can be predicted by using the aforementioned CCZMs [11,[22][23][24][25][26][27], this is not the advantage of CCZMs, since the Paris regime associated with SSY has already been described successfully according to the K-based models. In order to resolve the more challenging task that to simulate the high fatigue crack growth rates in Regime III of the metallic materials, a CCZM was proposed in our previous work [29] in which two damage variables were defined to represent monotonic damage and fatigue damage, respectively.…”

Section: Introductionmentioning

confidence: 99%

Application of a Cohesive Zone Model for Simulating Fatigue Crack Growth from Moderate to High ΔK Levels of Inconel 718

Yuan

2018

International Journal of Aerospace Engineering

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A cyclic cohesive zone model is applied to characterize the fatigue crack growth behavior of a IN718 superalloy which is frequently used in aerospace components. In order to improve the limitation of fracture mechanics-based models, besides the predictions of the moderate fatigue crack growth rates at the Paris' regime and the high fatigue crack growth rates at the high stress intensity factor ΔK levels, the present work is also aimed at simulating the material damage uniformly and examining the influence of the cohesive model parameters on fatigue crack growth systematically. The gradual loss of the stress-bearing ability of the material is considered through the degradation of a novel cohesive envelope. The experimental data of cracked specimens are used to validate the simulation result. Based on the reasonable estimation for the model parameters, the fatigue crack growth from moderate to high ΔK levels can be reproduced under the small-scale yielding condition, which is in fair agreement with the experimental results.

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A cohesive zone model for fatigue crack growth allowing for crack retardation

Cited by 101 publications

References 21 publications

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

Strength prediction of adhesive joints after cyclic moisture conditioning using a cohesive zone model

Application of a Cohesive Zone Model for Simulating Fatigue Crack Growth from Moderate to High ΔK Levels of Inconel 718

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