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Inicio Science and Tecnology of Materials Validation of a direct method to predict the strength of adhesively bonded joint...
Journal Information
Vol. 30. Issue 3.
Pages 138-143 (September - December 2018)
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Vol. 30. Issue 3.
Pages 138-143 (September - December 2018)
Original article
DOI: 10.1016/j.stmat.2017.12.002
Validation of a direct method to predict the strength of adhesively bonded joints
U.T.F. Carvalho, R.D.S.G. Campilho
Corresponding author

Corresponding author.
Departamento de Engenharia Mecânica, Instituto Superior de Engenharia do Porto, Instituto Politécnico do Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal
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Figures (9)
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Tables (2)
Table 1. Properties of the adhesives Araldite® AV138, Araldite® 2015 and Sikaforce® 7752 [12,19,20].
Table 2. Values of GIC and GIIC [N/mm] for the three adhesives obtained by J-Integral technique [29–31].
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Cohesive zone models (CZM) are a powerful tool for the design of bonded structures, but they require careful estimation of the cohesive laws for reliable results. This work experimentally evaluates by the J-integral/direct method the tensile and shear CZM laws of three adhesives with distinct ductility. Additionally, by the direct method, the precise shape of the cohesive law in tension and shear of the adhesives is defined. The double-cantilever beam (DCB) and end-notched flexure (ENF) specimens were considered to obtain the tensile and shear CZM laws of the adhesives, respectively. After obtaining the tensile and shear CZM laws, triangular, exponential and trapezoidal CZM laws were built to reproduce their behaviour. Validation of these CZM laws was undertaken with a mixed-mode geometry (double-lap joint) considering the same three adhesives and varying overlap lengths (LO). The strength prediction by this technique revealed accurate predictions for a given CZM law shape, depending on the adhesive ductility, although all CZM law shapes were moderately accurate.

Finite element method
Cohesive zone models
Direct method
Structural adhesive


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