The Cohesive Zone Model for Fatigue Crack Growth

Liu, Jinxiang; Li, Jun; Wu, Bo

doi:10.1155/2013/737392

Cited by 13 publications

(10 citation statements)

References 105 publications

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“…From the results shown in Figures 11 and 12, it can be concluded that any value higher than 6 for the updates parameter N u provides satisfactory results with a significant reduction in computational cost. It is clear from Figure 11 that the predicted results are reasonably close to each other for values of N u set to (56,28,14,7), which correspond to ΔN ≈ (100, 200, 400, 800), respectively. Differences are more noticeable however for values of N u lower than 6, where N u = 3 corresponds to ΔN≈2000 and N u = 1 corresponding to ΔN≈5600, as shown in Figure 12.…”

Section: Fast-track Effect On Accuracy Of the Resultsmentioning

confidence: 54%

“…This permits the modelling of advanced behaviour at the cohesive interface and surroundings taking into consideration such things as friction and plasticity . Loading‐unloading hysteresis models are based on the reduction of the interfacial stiffness captured by a cyclic damage variable that evolves or an internal variable that grows; a review of CZMs for fatigue can be found in references herein . The first successful attempt to use a CZM for the simulation of fatigue crack growth is presented in De‐Andrés et al, which introduces a cyclic damage variable D , whose purpose is to quantify the amount of dissipated energy in the fracture process divided by the critical fracture energy.…”

Section: Introductionmentioning

confidence: 99%

“…11 Loadingunloading hysteresis models are based on the reduction of the interfacial stiffness captured by a cyclic damage variable that evolves or an internal variable that grows; a review of CZMs for fatigue can be found in references herein. [14][15][16][17] The first successful attempt to use a CZM for the simulation of fatigue crack growth is presented in De-Andrés et al, 18 which introduces a cyclic damage variable D, whose purpose is to quantify the amount of dissipated energy in the fracture process divided by the critical fracture energy. Variable interfacial stiffness models soon followed this work (see Nguyen and Repetto 19 and Yang et al, 20 for example), where traction rate _ T is assumed to be a function of incremental stiffnesses K − and K + according to the relationship,…”

Section: Introductionmentioning

confidence: 99%

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A computationally efficient cohesive zone model for fatigue

Salih

Davey

Zou

2018

Fatigue Fract Eng Mat Struct

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A cohesive zone model has been developed for the simulation of both high and low cycle fatigue crack growth. The developed model provides an alternative approach that reflects the computational efficiency of the well‐established envelop‐load damage model yet can deliver the accuracy of the equally well‐established loading‐unloading hysteresis damage model. A feature included in the new cohesive zone model is a damage mechanism that accumulates as a result of cyclic plastic separation and material deterioration to capture a finite fatigue life. The accumulation of damage is reflected in the loading‐unloading hysteresis curve, but additionally, the model incorporates a fast‐track feature. This is achieved by “freezing in” a particular damage state for one loading cycle over a predefined number of cycles. The new model is used to simulate mode I fatigue crack growth in austenitic stainless steel 304 at significant reduction in the computational cost.

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Section: Fast-track Effect On Accuracy Of the Resultsmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A computationally efficient cohesive zone model for fatigue

Salih

Davey

Zou

2018

Fatigue Fract Eng Mat Struct

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“…11,12 During the past decades, a vast number of CZM have been developed and published. We refer in this context to the review articles, 4,8,[13][14][15] where many aspects of CZ modeling are summarized and compared. Within the present study, however, the particular choice of the cohesive law is of less importance.…”

Section: 1mentioning

confidence: 99%

Employing phase‐field descriptions of cohesive zone placements in cohesive fracture simulations

Roth

Kiefer

2022

Numerical Meth Engineering

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Cohesive zone models suffer from the fundamental problem that potential crack paths must be determined beforehand. Phase-field models for (brittle) fracture, that have recently become immensely popular, are able to naturally handle essentially arbitrary crack patterns. However, due to their energetic nature, phase-field approaches have difficulties to predict, for example, crack nucleation in consequence of their lack of strength criteria which are naturally incorporated in the cohesive zone model. In this contribution, an alternative approach is presented that allows the embedding of established (cyclic) cohesive laws into phase-field modeling. Our work is conceptually in line with the ideas proposed by Verhoosel and de Borst in 2013. Since this novel approach to cohesive fracture is still in its infancy, many open challenges remain, of which the following are addressed in this article: (i) A strict separation between the description of the cohesive zone and the cohesive law itself is realized, (ii) the interplay between the different physical length-scales inherent to the formulation is carefully investigated in order to quantify the parameters introduced in the phase-field description, and (iii) an alternative finite element treatment is proposed, implemented, and tested that avoids spurious solutions for unstructured meshes. In this context, fatigue crack growth is simulated as a quantitative benchmark problem relevant to engineering applications.

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“…A wealth of literature on the modeling of delamination damage in FRPs have already existed; only a selection of recent pertinent ones will be reviewed here. Readers are referred to (Hutchinson 1982, Wisnom 2012, Liu et al 2013, Park and Paulino 2013 for a more complete review on recent developments in cohesive modeling methodologies. Different approaches are followed to simulate delamination in composites, and they can be broadly classified into three categories, viz.…”

Section: Introductionmentioning

confidence: 99%

Dynamic delamination in laminated fiber reinforced composites: A continuum damage mechanics approach

Shojaei

Tan

et al. 2015

International Journal of Solids and Structures

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Delamination causes a significant reduction in the load carrying capacity of Fiber Reinforced Polymer (FRP) composites, which is a major concern to the aerospace and automotive industries. High performance FRPs are often subjected to dynamic loadings of different energy densities in their service life when strain rate, stress triaxiality, temperature, and mode of fracture can have a significant knock-down effect on the interfacial strength of plies in a laminate. This paper develops a predictive tool, in a Continuum Damage Mechanics (CDM) framework, to assess delamination damage in FRPs under dynamic loading; the model takes into account the effects of dynamic energy density, mixed-mode fractures and temperature.The CDM model is formulated based on the Fracture Mechanics (FM) of decohesion and an advantage of the proposed model is that nearly all of the material parameters can be obtained directly through calibration to experimental data rather than numerical curve fitting of simulation results. The developed scheme is coded into a commercial FEA package (ABAQUS) through user-defined subroutines and the fidelity of the model is assessed by comparison with existing experimental data in the literature. The validated model is used to investigate delamination damage in a laminated FRP subject to projectile impact loading, where it will be shown that the extent of delamination damage through the thickness of the FRP structure is dependent upon different wave propagation scenarios. The proposed model provides a design platform for damage assessment caused by dynamic delamination and may be a useful tool for designing FRP composites with a greater impact tolerance.

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The Cohesive Zone Model for Fatigue Crack Growth

Cited by 13 publications

References 105 publications

A computationally efficient cohesive zone model for fatigue

A computationally efficient cohesive zone model for fatigue

Employing phase‐field descriptions of cohesive zone placements in cohesive fracture simulations

Dynamic delamination in laminated fiber reinforced composites: A continuum damage mechanics approach

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