A cohesive model for fatigue failure of polymers

Maiti, Spandan; Geubelle, Philippe H.

doi:10.1016/j.engfracmech.2004.06.005

Cited by 142 publications

(85 citation statements)

References 17 publications

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“…An evolution " i law for the cohesive stiffness during the reloading phase of the cyclic loading has been introduced in the cohesive failure law to generate Figure 2. Modification of the fatigue a natural degradation of the cohesive strength cohesive failure model to account for the (Maiti and Geubelle, 2005a). Figure I shows a presence of the healing agent between the comparison between the numerical and crackfaces (Maiti and Geubelle, 2005b).…”

Section: Objectivesmentioning

confidence: 99%

Multiscale Modeling and Experiments for Design of Self-Healing Structural Composite Materials

White¹,

Geubelle²,

Sottos³

2005

Self Cite

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The public reporting burden for this collection of information is estimated to averege 1 hour per response, including the time AFRL-SR-AR-TR-06-0055 and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding thi including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate 1 Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other F comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT SPONSOR/MONITORS REPORTArlington VA 22203 NUMBER(S)12. DISTRIBUTrON/AVAILABILITY STATEMENT Distribution Statement A. Approved for public release; distribution is unlimited. SUPPLEMENTARY NOTES ABSTRACTA set of multi-scale materials systems design tools focused on issues relevant to self-healing structural composites have been developed by a research team from the University of Illinois and the University of Michigan. Our vision was to create a computational framework for materials systems design spanning from atomistic to macroscopic (structural) length scales, supported and validated by a set of experiments conducted at various scales. Although special emphasis in the present project ha, been placed on the modeling of the fatigue response of a self-healing composite, the approach adopted in this project yielded tool that have broad applicability for generic fracture and fatigue problems in modem engineering materials. This paper summarizes our accomplishments of the past three years primarily on the macroscale numerical and experimental aspects of the program. On the numerical side, we have focused on the development, implementation and validation of a cohesive failure model able to capture at the structural level the fatigue retardation effect of the healing agent on the cyclic response of the self-healing composite. SUBJECT TERMS SECURITY CLASSIFICATION OF:17. LIMITATION ABSTRACT A set of multiscale materials systems design tools focused on issues relevant to self-healing structural composites have been developed by a research team from the University of Illinois and the University of Michigan. Our vision was to create a computational framework for materials systems design spanning from atomistic to macroscopic (structural) length scales, supported and validated by a set of experiments conducted at various scales. Although special emphasis in the present project has been placed on the modeling of the fatigue response of a self-healing composite, the approach adopted in this project yielded tools that have broad applicability for generic fracture and fatigue problems in modern engineering materials. This paper summarizes our accomplishments of the past three years primarily on the macroscale numerical and experimental aspects of the program. On the numerical side, we have focused on the development, implementation and validation of a cohesive failure model able to capture at the structural level the...

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Section: Objectivesmentioning

confidence: 99%

Multiscale Modeling and Experiments for Design of Self-Healing Structural Composite Materials

White¹,

Geubelle²,

Sottos³

2005

Self Cite

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“…The Macaulay brackets are used to signify nonnegative value of damage evolution, and the Heaviside function H states that damage initiates at δ > δ 0 . The novel cohesive envelope determined by (1) will degrade and change its shape correspondingly associated with the damage accumulation, and this characteristic is the major difference between the current model and other CCZMs [11,12,20,[22][23][24][25][26][27][28]. For example, in [25], the combination use of (2) and the cohesive envelope of the exponential form are performed to simulate fatigue crack growth; however, this combination results in the contradictory damage evolution at δ n > δ 0 if a slightly larger value of σ f /σ max,0 is provided, and this problem can be solved by using (1).…”

Section: Cohesive Zone Modelmentioning

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%

“…However, they did not mention the predictive ability of the model in Regime III. Maiti and Geubelle [23] introduced a bilinear cohesive law with an irreversible unloading-loading path to assess capacity of the model for predicting fatigue crack growth in polymers. Although they concluded that the developed model can be used in both Regime II and Regime III for an epoxy, they did not show the applications of the proposed model in simulating ductile materials.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Two approaches to this modelling are a cycle-by-cycle approach [9][10][11] and characterising the cyclic loading by the maximum fatigue load [12][13][14][15]. In high cycle fatigue, a cycle-by-cycle approach can be very demanding in term of computational cost.…”

Section: Introductionmentioning

confidence: 99%

The fatigue response of environmentally degraded adhesively bonded aluminium structures

Sugiman

Crocombe

Aschroft

2013

International Journal of Adhesion and Adhesives

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A cohesive model for fatigue failure of polymers

Cited by 142 publications

References 17 publications

Multiscale Modeling and Experiments for Design of Self-Healing Structural Composite Materials

Multiscale Modeling and Experiments for Design of Self-Healing Structural Composite Materials

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

The fatigue response of environmentally degraded adhesively bonded aluminium structures

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