Fatigue modeling in composites with the thick level set interface method

Latifi, M.; Meer, F.P. van der; Sluys, L.J.

doi:10.1016/j.compositesa.2017.05.035

Cited by 11 publications

(5 citation statements)

References 25 publications

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“…Moreover, a crack growth rate can be imposed as the front velocity. This makes the method suitable for implementation of crack growth relations that relate crack growth rate to energy release rate, such as the Paris law for fatigue crack growth [40,41]. In this section, the formulation and solution scheme for the ITLS method are described.…”

Section: Interfacial Thick Level Set Modelingmentioning

confidence: 99%

“…For instance, for fatigue crack growth experimental observations can be described well with the Paris law, which gives such a relation. In [40,41], the ITLS method has been validated for the calculation of energy release rate and prediction of fatigue crack growth. In this paper, a function between energy release rate G and crack speed V for dynamic crack growth with possible stick/slip behavior is introduced (see Fig.…”

Section: Crack Speedmentioning

confidence: 99%

“…The ITLS model, in this sense, is advantageous since it provides a robust numerical tool for straightforward implementation of energy release rate based crack growth relations. The application of the ITLS model for simulating fatigue crack growth, where the Paris relation gives such a relation, was reported in [40,41].…”

Section: Introductionmentioning

confidence: 99%

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Cohesive zone and interfacial thick level set modeling of the dynamic double cantilever beam test of composite laminate

Liu

Meer

Sluys

2018

Theoretical and Applied Fracture Mechanics

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The mode-I interlaminar fracture toughness of composite laminates under different loading rates can be measured by the double cantilever beam (DCB) test. It is observed from the DCB test of a unidirectional PEEK/carbon composite laminate that as the loading rate increases from quasi-static to dynamic range: (1) delamination crack growth exhibits a transition from stable to unstable ("stick/slip") and back to a stable type; (2) the interlaminar fracture toughness is not constant as the loading rate increases. In this paper, two numerical approaches are used to reproduce the experimental observations: a cohesive zone model (CZM) and the interfacial thick level set (ITLS) model. CZM simulations with rate-independent and rate-dependent cohesive laws are carried out. A new version of the ITLS is introduced with a phenomenological relation between crack speed and energy release rate. The simulation results of the CZM and the ITLS model are compared with the real DCB test data to evaluate the capability of these two types of models. It is found that the used CZM can reproduce rate-dependence of the fracture energy, but not the stick/slip behavior. The ITLS can capture the stick/slip behavior, but needs different parameter sets for different loading rates.

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Section: Interfacial Thick Level Set Modelingmentioning

confidence: 99%

Section: Crack Speedmentioning

confidence: 99%

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Cohesive zone and interfacial thick level set modeling of the dynamic double cantilever beam test of composite laminate

Liu

Meer

Sluys

2018

Theoretical and Applied Fracture Mechanics

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“…One critical point of the fracture mechanics modelling methods presented in the literature is to determine the energy release rate (G) components, then a modified form of Paris law and G-N curves achieved by experimental measurements are employed for evaluating fatigue crack propagation and initiation, respectively. Two typical approaches to compute the G components are the virtual crack closure technique (VCCT) [2][3][4] and the level set method [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Composites fatigue delamination prediction using double load envelopes and twin cohesive models

Zhang

Kawashita

Hallett

2020

Composites Part A: Applied Science and Manufacturing

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“…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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Fatigue modeling in composites with the thick level set interface method

Cited by 11 publications

References 25 publications

Cohesive zone and interfacial thick level set modeling of the dynamic double cantilever beam test of composite laminate

Cohesive zone and interfacial thick level set modeling of the dynamic double cantilever beam test of composite laminate

Composites fatigue delamination prediction using double load envelopes and twin cohesive models

Accelerating crack growth simulations through adaptive model order reduction

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