Damage modelling of adhesively bonded joints

Abstract

A cohesive zone model (CZM) has been used in conjunction with both elastic and elastoplastic continuum behaviour to predict the response of a mixed mode flexure and three different lap shear joints, all manufactured with the same adhesive. It was found that, for a specific dissipated CZM energy (Gamma(0)) there was a range of CZM tripping tractions (sigma(u)) that gave a fairly constant failure load. A value of sigma(u) below this range gave rise to global damage throughout the bonded region before any crack propagation initiated. A value above this range gave rise to a discontinuous process zone, which resulted in failure loads that were strongly dependent on sigma(u). A discontinuous process zone gives rise to mesh dependent results. The CZM parameters used in the predictions were determined from the experimental fracture mechanics specimen test data. When damage initiated, a deviation from the linear load-displacement curve was observed. The value for sigma(u) was determined by identifying the magnitude that gave rise to the experimentally observed deviation. The CZM energy (Gamma(0)) was then obtained by correlating the simulated load-crack length response with corresponding experimental data. The R-curve behaviour seen with increasing crack length was successfully simulated when adhesive plasticity was included in the constitutive model of the adhesive layer. This was also seen to enhance the prediction of the lap shear specimens. Excellent correlation was found between the experimental and predicted joint strengths

Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer

“…Thus, CZM can also be adapted to simulate ductile adhesive layers, whose behaviour can be approximated with trapezoidal laws [14]. Although it is always advised the use of the most suitable CZM shape and to perform accurate parameter estimations, few works showed acceptable predictions for small variations to the optimal CZM parameters and shapes [11,22]. On the other hand, the effect of the CZM law shape on the strength predictions significantly varies depending on the structure geometry and post-elastic behaviour of the materials.…”

The strength prediction of adhesive single lap joints exposed to long term loading in a hostile environment

“…Further details of this method can be found elsewhere [27]. At the same time as the weighing procedure, the swelling of the bulk adhesive (assumed to be isotropic) was determined by measuring the specimen thickness using a micrometer [26,28].…”

Investigating the static response of hybrid fibre–metal laminate doublers loaded in tension

“…This bilinear traction separation law has been successfully employed in damage modelling of adhesive joints [22][23][24][25] and in composite laminate delamination [26][27][28][29]. Table 5 shows the properties of cohesive zone model.…”