A continuum damage model for composite laminates: Part III - Fatigue

Llobet, J.; Maimí, P.; Essa, Yasser; Escalera, Federico Martín de la

doi:10.1016/j.mechmat.2020.103659

Cited by 31 publications

(16 citation statements)

References 62 publications

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“…The damage mechanisms interact with each other and are characterised by different growth rates; thus, these are associated with different stages of fatigue. Three general stages are typically observed in conventional quasi-isotropic laminates [ 122 , 123 ]: cycling loading initiates the formation of microcracks and voids (first stage), which are further localised, causing minor damage (second stage) and finally promote macrocrack growth leading to an ultimate material failure (third stage). This continuous damage process leads to significant degradation of the mechanical properties such as the strength and elastic modulus.…”

Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

“…The fatigue failure analysis is done by means of crack initiation curves, which is similar to an S–N curve (Equation (29)) but instead of the characteristic cyclic stress, the maximum applied energy release rate

is used:

where

and m are material parameters. In the crack propagation phase, a power-law dependence, known as Paris law, is established between the crack growth rate

and

[ 71 , 123 , 139 , 155 , 156 ]:

where C and p are material parameters. The fracture-mechanics-based models explain failure mechanisms and damage development in composites, although the general failure analysis is done by the empirical approach.…”

Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

“…Generally, these models combine the phenomenological models and the definition of a fatigue failure criterion [ 155 , 157 ]. The progressive damage models calculate the stress analysis at each cycle or number of cycles and then recalculate the stress and internal variables according to the specific failure criteria [ 123 , 154 , 157 ] (see the flowchart in Figure 12 e). The latter is defined depending on the nature and interaction of damage mechanisms.…”

Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

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Modelling of Environmental Ageing of Polymers and Polymer Composites—Durability Prediction Methods

et al. 2022

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Polymers and polymer composites are negatively impacted by environmental ageing, reducing their service lifetimes. The uncertainty of the material interaction with the environment compromises their superior strength and stiffness. Validation of new composite materials and structures often involves lengthy and expensive testing programs. Therefore, modelling is an affordable alternative that can partly replace extensive testing and thus reduce validation costs. Durability prediction models are often subject to conflicting requirements of versatility and minimum experimental efforts required for their validation. Based on physical observations of composite macroproperties, engineering and phenomenological models provide manageable representations of complex mechanistic models. This review offers a systematised overview of the state-of-the-art models and accelerated testing methodologies for predicting the long-term mechanical performance of polymers and polymer composites. Accelerated testing methods for predicting static, creep, and fatig ue lifetime of various polymers and polymer composites under environmental factors’ single or coupled influence are overviewed. Service lifetimes are predicted by means of degradation rate models, superposition principles, and parametrisation techniques. This review is a continuation of the authors’ work on modelling environmental ageing of polymer composites: the first part of the review covered multiscale and modular modelling methods of environmental degradation. The present work is focused on modelling engineering mechanical properties.

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Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

is used:

where

and m are material parameters. In the crack propagation phase, a power-law dependence, known as Paris law, is established between the crack growth rate

and

[ 71 , 123 , 139 , 155 , 156 ]:

Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

Section: Models For Predicting Materials Durability and Service Lifetimementioning

confidence: 99%

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Modelling of Environmental Ageing of Polymers and Polymer Composites—Durability Prediction Methods

et al. 2022

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“…FRP (Fiber Reinforced Polymers) composites are widely used in many fields such as aeronautics, marine engineering and civil engineering in recent years for their extraordinary mechanic properties, whose highlighted research issue includes: the fatigue performance, 1 the temperature effect 2 and the connections 3 etc.…”

Section: Introductionmentioning

confidence: 99%

Translaminar mode-I fracture toughness experiment of pultruded GFRP laminates using extended compact tension specimen

Xiong

Meng

Zhao

et al. 2022

Journal of Composite Materials

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This paper conducted experiments and theoretic analysis of the fracture performance of pultruded GFRP (Glass Fiber Reinforced Polymers) laminates. The mode-I fracture toughness of pultruded GFRP laminates was evaluated by the eccentrically loaded, Extended Compact Tension (ECT) specimen. The geometry of specimen and experimental procedure refer to ASTM E1922. A total of 16 specimens were tested, which included 0° and 90° roving orientation. Finite element analysis with the Virtual Crack Closure Technique (VCCT) was implemented to calibrate the experimental results. A correction function for normalized notch length was proposed for pultruded GFRP translaminar fracture toughness. Carpet plot was designed to discuss the relationship between fiber volume ratio and fracture toughness, which demonstrated that the fracture toughness strongly correlated with the fiber volume ratio. Also, the effect of fraction of 0° layers on fracture toughness and material orthotropy was studied. The relationship of material orthotropy parameter and fracture toughness was discussed.

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“…So far, many researchers have done plenty of studies on fatigue damages in composite materials, including analytical research and experimental research. Analytical models could be sorted into following categories [3,4]: 1) residual strength model [5,6], 2) residual stiffness model [7][8][9][10][11][12], 3) continuum damage mechanics (CDM)-based model [13,14] and 4) micromechanics-based model [15]. Stojkovic et al [6] developed a twoparameter analytical model for the prediction of residual strength of composite materials under fatigue loadings.…”

Section: Introductionmentioning

confidence: 99%

A Micro–macro Damage Mechanics-based Model for Fatigue Damage and Life Prediction of Fiber-reinforced Composite Laminates

Yao²,

Shen³

2022

Appl Compos Mater

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A multidirectional damage model was proposed to predict fatigue damage evolution and final failure of composite laminates in this paper. A damage characterization model for composite laminates was established to characterize the influence of three main damage modes on the damaged mechanical behavior of composite laminates at micro–macro level. The damage evolution model was also established based on damage mechanics to predict the evolution of the three damage modes and stiffness degradation of composite laminates by means of damage characterization model. Then, a relationship between residual stiffness and residual strength was introduced, from which the residual strength could be obtained according to the predicted residual stiffness. When the residual strength is calculated to decrease to the maximum applied stress of fatigue loading after several cycles, the composite laminate was assumed to fail, and accordingly the fatigue life could be obtained. In order to verify the model, the predicted stiffness degradation and fatigue life of two cross-ply laminates under fatigue loadings with different stress levels were compared to experimental results. The standard derivation of stiffness degradation and average errors of fatigue between prediction results and experimental results were less than 0.1 and 8.26%, respectively, indicating the effectiveness and reliability of proposed model.

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A continuum damage model for composite laminates: Part III - Fatigue

Cited by 31 publications

References 62 publications

Modelling of Environmental Ageing of Polymers and Polymer Composites—Durability Prediction Methods

Modelling of Environmental Ageing of Polymers and Polymer Composites—Durability Prediction Methods

Translaminar mode-I fracture toughness experiment of pultruded GFRP laminates using extended compact tension specimen

A Micro–macro Damage Mechanics-based Model for Fatigue Damage and Life Prediction of Fiber-reinforced Composite Laminates

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