Two dimensional analysis for an adhesively bonded composite single-lap joint based on flexible interface theory

Abstract

An improved two-dimensional model based on flexible interface theory is proposed for an adhesively bonded composite single-lap joint. In the modified model, the adherends are treated as a Timoshenko beam, and the adhesive layer is assumed to be an Euler-Bernoulli beam. The peel stress and shear stress across the adhesive thickness varied. Additionally, the zero shear stress condition at the free end of the adhesive layer was satisfied. Based on the displacement compatibility condition of a flexible interface, the governing differential equations for the internal forces are derived. The stress distributions of the adhesive layer can be obtained by solving the governing differential equations. A comparison of the results between the modified model, existing classical models, and finite element results indicate that the improved two-dimensional model can determine the stress distribution of the adhesive with high accuracy. Finally, the effects of the thickness ratio, Young's modulus ratio, and interfacial compliance on the stress distribution of the adhesive are studied using the improved model.

Analytical and numerical simplified modeling of a single-lap joint

“…However, in both previous works, the longitudinal normal stress is totally neglected. Jiang et al [8] thoroughly investigated the mechanical response of SLJs, describing the adhesive and adherends as three distinct layers separated by flexible interfaces. In their study, they combined the use of Euler-Bernoulli/Timoshenko beams and the 2D elasticity theory, involving thus the three stress components (shear, peel and longitudinal stresses) which were supposed to vary along the thickness of the adhesive layer.…”