This paper deals with a two-dimensional stress analysis of adhesive butt joints filled with elastic circular fillers in an adhesive subjected to an external tensile load. Similar adherends and an adhesive bond are replaced with finite strips in the analyses. Stress distributions in adhesive joints are analyzed exactly using the two-dimensional theory of elasticity. The effects of stiffness and number of fillers on the interfaces stress distributions and around the fillers with higher Young's modulus are shown in the numerical computations. It was seen that as an amount of number of fillers increased, the strength of joints was able to be more improved than that of the joints without a filler. For verification, experiments were carried out to measure the strains. The analytical results are in fairly good agreements with the experimental ones. In addition, for verification of the interface stress distribution, the analytical results are also compared with those obtained from the two-dimensional and three-dimensional FEM calculations. Fairly good agreements are seen between the analytical and the two-dimensional FEM results. However, the result from the present analysis is different from that of the three-dimensional FEM.
Two-dimensional stress analysis of adhesive butt joints subjected to tear loads.