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Temperature dependence of cohesive laws for an epoxy adhesive in Mode I and Mode II loading
University of Skövde, School of Technology and Society. University of Skövde, The Virtual Systems Research Centre.ORCID iD: 0000-0003-0309-3073
University of Skövde, School of Technology and Society. University of Skövde, The Virtual Systems Research Centre.ORCID iD: 0000-0001-8335-0855
University of Skövde, School of Technology and Society. University of Skövde, The Virtual Systems Research Centre.ORCID iD: 0000-0003-0787-4942
2013 (English)In: International Journal of Fracture, ISSN 0376-9429, E-ISSN 1573-2673, Vol. 183, no 2, p. 203-221Article in journal (Refereed) Published
Abstract [en]

The influence of the temperature on the cohesive laws for an epoxy adhesive is studied in the glassy region, i.e. below the glass transition temperature. Cohesive laws are derived in both Mode I and Mode II under quasi-static loading conditions in the temperature range C. Three parameters of the cohesive laws are studied in detail: the elastic stiffness, the peak stress and the fracture energy. Methods for determining the elastic stiffness in Mode I and Mode II are derived and evaluated. Simplified bi-linear cohesive laws to be used at any temperature within the studied temperature range are derived for each loading mode. All parameters of the cohesive laws are measured experimentally using only two types of specimens. The adhesive has a nominal layer thickness of 0.3 mm and the crack tip opening displacement is measured over the adhesive thickness. The derived cohesive laws thus represent the entire adhesive layer as having the present layer thickness. It is shown that all parameters, except the Mode I fracture energy, decrease with an increasing temperature in both loading modes. The Mode I fracture energy is shown to be independent of the temperature within the evaluated temperature span. At C the Mode II fracture energy is decreased to about 2/3 of the fracture energy at C. The experimental results are verified by finite element analyses.

Place, publisher, year, edition, pages
Springer Netherlands, 2013. Vol. 183, no 2, p. 203-221
Keywords [en]
Cohesive laws, Epoxy adhesive, Fracture energy, Peak stress, Temperature, Regression analyses, Shear modulus, Young's modulus
National Category
Vehicle Engineering
Research subject
Technology
Identifiers
URN: urn:nbn:se:his:diva-8728DOI: 10.1007/s10704-013-9887-3ISI: 000326695000006Scopus ID: 2-s2.0-84888367534OAI: oai:DiVA.org:his-8728DiVA, id: diva2:683964
Available from: 2014-01-07 Created: 2014-01-07 Last updated: 2023-05-02Bibliographically approved
In thesis
1. Influences of temperature, fatigue and mixed mode loading on the cohesive properties of adhesive layers
Open this publication in new window or tab >>Influences of temperature, fatigue and mixed mode loading on the cohesive properties of adhesive layers
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns some aspects that have influence on the strength of adhesive layers. The strength is determined by the stress deformation-relation of the layer. This relation is also referred to as cohesive law. The aspects having influence on the cohesive laws that are studied in this work are temperature, fatigue, multi-axial fatigue and mixed mode loading.

For each aspect, a model is developed that can be used to describe the influence of the aspects on the cohesive laws numerically, e.g. by using the finite element method. These models are shown to give good agreement with the experimental results when performing simulations that aims at reproducing the experiments. For the aspect of temperature, a FE-model is suggested that can be used to simulate the mechanical behaviour in pure mode loadings at any temperature within the evaluated temperature span. Also, a damage law for modelling high cycle fatigue in a bonded structure in multi-axial loading is presented. Lastly, a new experimental set-up is presented for evaluating strength of adhesives during mixed mode loading. The set-up enables loading with a constant mode-mix ratio and by the experimental results, a potential model for describing the mechanical behaviour of the evaluated adhesive is presented.

Place, publisher, year, edition, pages
Göteborg: Chalmers Publication Library, 2015. p. 33
Series
Doktorsavhandlingar vid Chalmers tekniska högskola, ISSN 0346-718X ; 3866
Keywords
adhesive layer, cohesive law, fatigue, finite element analysis, fracture energy, mixed mode, multi-axial fatigue, potential model, temperature
National Category
Applied Mechanics
Research subject
Mechanics of Materials
Identifiers
urn:nbn:se:his:diva-10972 (URN)978-91-7597-185-8 (ISBN)
Public defence
2015-06-08, 10:00 (English)
Opponent
Available from: 2015-05-29 Created: 2015-05-28 Last updated: 2023-05-02Bibliographically approved
2. Cohesive modelling of the temperature dependence of epoxy based adhesives in Mode I and Mode II loading
Open this publication in new window or tab >>Cohesive modelling of the temperature dependence of epoxy based adhesives in Mode I and Mode II loading
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

In this work, the influence of the temperature on the cohesive laws for two epoxy adhesives is studied at temperatures below the glass transition temperature for both Mode I and Mode II loading. Cohesive laws are measured experimentally under quasi-static loading conditions in the temperature range -30≤T≤80"C" . Three parameters of the cohesive laws are studied in detail: the elastic stiffness, the peak stress and the fracture energy. Methods for determining the elastic stiffness in Mode I and Mode II are derived and evaluated. With these methods, the results in this work show that it is possible to measure all three parameters for each pure mode loading case by the use of only the DCB- and the ENF-test specimens. Even though the measures tend to spread in values, this can significantly reduce the cost for performing experiments. It is shown that most of the cohesive parameters are decreasing with an increasing temperature in both loading modes and for both adhesives. An exception is the Mode I fracture energy for one of the adhesives. This is shown to be independent of the temperature in the studied temperature range. For the same adhesive, the Mode II fracture energy is shown to be continuously decreasing with an increasing temperature. The experimental results are verified by finite element analyses. The simulations only consider uncoupled cohesive behaviours. By use of the experimental results, simplified bi-linear cohesive laws to be used at any temperature within the studied temperature range are derived for one adhesive in both loading modes. This is desired in order to simulate adhesively bonded structures that suffer a wide range in temperature.

Place, publisher, year, edition, pages
Göteborg: Chalmers University of Technology, 2013. p. iii, 6 s. (tot 48)
Series
Thesis for licentiate of engineering, ISSN 1652-8565 ; 2013:08
Keywords
Cohesive laws, Epoxy adhesive, Fracture energy, Peak stress, Temperature, Regression analyses, Shear modulus, Young’s modulus.
National Category
Materials Engineering
Research subject
Technology
Identifiers
urn:nbn:se:his:diva-8390 (URN)
Presentation
2013-04-04, Gamma/Delta, 10:00
Opponent
Supervisors
Available from: 2013-08-12 Created: 2013-08-12 Last updated: 2023-05-02Bibliographically approved

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Walander, TomasBiel, AndersStigh, Ulf

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