Weibull analysis of stiffness and strength in bulk epoxy adhesives reinforced with particles

Salem, N. Ben; Bresson, Grégory; Jumel, Julien; Shanahan, M. E. R.; Bellut, S.; Lavelle, Florian

doi:10.1080/01694243.2013.771097

Cited by 8 publications

(7 citation statements)

References 13 publications

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“…Therefore, further work needs to be undertaken to describe and evaluate the statistics of bonding strength. On the basis of the weakest link concept, the Weibull distribution has been reported to be available in the failure probability of bonded joints or the analysis of fiber fracture statistics . The Weibull failure probability is given by the following equation:

F true(σ_{i} true) = 1 - \exp [- {true(σ_{i} / σ_{0} true)}^{m}]

where i represents the serial number of the fractured sample, F (σ i ) is the failure probability of the number i sample, σ i is the applied stress, σ 0 is the characteristic stress, and m is the Weibull modulus.…”

Section: Resultsmentioning

confidence: 99%

Bonding performance and fracture morphology of a hybrid multiscale epoxy adhesive on oil‐covered substrates

Zhang

Tan

Wang

et al. 2015

J of Applied Polymer Sci

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A hybrid multiscale epoxy adhesive reinforced with a combination of short carbon fibers and rubber nanoparticles was prepared for bonding oil-covered aluminum substrates. The shear performance of the bonded joints was investigated as a function of the oil layer thickness. Scanning electron microscopy and energy-dispersive X-ray analysis studies were carried out to evaluate the oildiffusion behavior near the substrate-adhesive interface. The results show that the shear strength decreased, whereas the distribution range of the testing results increased as the oil layer thickness increased. When the oil layer was thinner than 10 lm, the oilaccommodating adhesive could be used directly without degreasing, whereas over 96% of the bonding strength could be retained with almost no change in the failure probability. The analysis of Weibull distribution indicated that the shear strength and Weibull modulus were 18.89 MPa and 13.503, respectively. By analyzing the relationship between the shear strength results and the failure model of the fracture surface, we found a correlation.

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F true(σ_{i} true) = 1 - \exp [- {true(σ_{i} / σ_{0} true)}^{m}]

Section: Resultsmentioning

confidence: 99%

Bonding performance and fracture morphology of a hybrid multiscale epoxy adhesive on oil‐covered substrates

Zhang

Tan

Wang

et al. 2015

J of Applied Polymer Sci

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“…The probability of failure at a specific value of x is obtained by integration of the probability density function over the range of possible realizations of X up to x, which defines the cumulative distribution function of the random variable X, denoted as CDF x ð Þ. The most widely used statistical model in the literature on adhesive joints is the Weibull distribution, [199][200][201][202][203][204][205][206] which is defined by the probability density function:…”

Section: Probabilistic Methodsmentioning

confidence: 99%

“…where x is a nonnegative variable which characterizes the failure state of the joint, such as critical load, [199,205,206] or a measure of stress in the adhesive at failure under tensile tests, shear tests [200][201][202][203] or combinations thereof [204] ; α; γ > 0 denote the scale and shape parameters, respectively, and x 0 � 0 a shift factor which is sometimes omitted (see Figure 18 to visualize the shape of Weibull PDF and CDF for different values of the parameters).…”

Section: Probabilistic Methodsmentioning

confidence: 99%

A review on failure theories and simulation models for adhesive joints

Τσερπές

Barroso-Caro

Carraro

et al. 2021

The Journal of Adhesion

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In the framework of the Cost Action CERTBOND (Reliable roadmap for certification of bonded primary structures), a wide group of researchers from 27 European Countries have had the opportunity to work on the topic of certification of bonded joints for primary structural applications from different engineering sectors such as the aerospace, automotive, civil engineering, wind energy and marine sectors. Since virtual testing and optimization are basic tools in the certification process, one of the key objectives of CERTBOND is to critically review some of the available models and failure theories for adhesive joints. The present paper summarizes the outcome of this task. Nine different models/theories are described in detail. Specifically, reviewed are the Classical Analytical Methods, the Process Zone Methods, Linear Elastic Fracture Mechanics (LEFM), the Virtual Crack Closure Technique (VCCT), the Stress Singularity Approach, Finite Fracture Mechanics (FFM), the Cohesive Zone Method (CZM), the Progressive Damage Modeling method and the Probabilistic methods. Also, at the end of the paper, the modeling of temperature effects on adhesive joints have been addressed. For each model/theory, information on the methodology, the required input, the main results, the advantages and disadvantages and the applications are given.

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“…The Weibull modulus is generally reported to characterize the variability in strength of brittle materials (let us remind that this criterion is applicable to DGEBA-TETA adhesives since no plastic deformation occurs during mechanical testing). If the failure is led by the weakest defect, then the Weibull modulus measures the distribution of these defects [24][25][26]43]. The higher the Weibull modulus is, the lower the dispersion of the defect is.…”

Section: Weibull Analysismentioning

confidence: 99%

“…Thus, the dispersion of critical defects can be evaluated and the reliability of adherence tests or experimental conditions (i.e. the Weibull modulus m) can be defined [24][25][26][27]. Finally, in order to confirm the correlation of the measured properties by each adherence test, the Principal Component Analysis (PCA) has been used.…”

Section: Introductionmentioning

confidence: 99%

Experimental and statistical study of three adherence tests for an epoxy-amine/aluminum alloy system: Pull-Off, Single Lap Joint and Three-Point Bending tests

Genty

Sauvage

Tingaut³

et al. 2017

International Journal of Adhesion and Adhesives

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The mechanical resistance of a bonded joint depends on the adhesive interaction onto the substrate and the mechanical properties of the adhesive itself. Many existing tests can be useful for measuring the adherence or evaluating mechanical adhesive response. All these tests do not provide the same information: in particular, adherence measurements can be split into initiation tests and propagation ones. In this paper, three adherence tests have been considered for the evaluation of the fracture initiation between a poly-epoxide adhesive (a mixture of pure epoxy and amine) and an aluminum surface (AA 2024-T3), namely the Pull-Off, Single Lap Joint (SLJ) and Three-Point Bending tests. Various surface preparation protocols before bonding have been tested and optimized for aluminum substrates, including mechanical and chemical surface treatments, followed by the application of an appropriate primer before bonding. This study paves the way for the future development of adhesive systems as it provides reliable surface preparation protocols for aluminum surfaces and gives an insight into the choice of an adequate adherence test dedicated to high-performance adhesives. The load at break (F Max ), the experimental error, the failure mode and statistical studies according to the Weibull model and Principal Component Analysis (PCA) were studied on each surface preparation configuration. It has been shown that the application of a primer, especially a sol-gel product increases the load at break and provides more reliable results. Then, this paper shows that the two tests can quantify the failure initiation and distinguish the different surface preparation efficiency, are the Single Lap Joint test (mode II or mode I + II) and the Three-Point Bending test (mode I), with an increase of the results reliability with the latter one. The Pull-Off test (mode I) is useful as a routine checking, and particularly interesting because its response does not depend on the substrate thickness, even though it cannot highlight the difference between all surface preparations.

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Weibull analysis of stiffness and strength in bulk epoxy adhesives reinforced with particles

Cited by 8 publications

References 13 publications

Bonding performance and fracture morphology of a hybrid multiscale epoxy adhesive on oil‐covered substrates

Bonding performance and fracture morphology of a hybrid multiscale epoxy adhesive on oil‐covered substrates

A review on failure theories and simulation models for adhesive joints

Experimental and statistical study of three adherence tests for an epoxy-amine/aluminum alloy system: Pull-Off, Single Lap Joint and Three-Point Bending tests

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