A finite element model of single-lap adhesive joints

Abstract A finite element formulation for analysing the stresses in the adhesive of a single-lap joint is presented. The element is based on the Timoshenko beam theory and an assumed variation of the transverse shear stress and transverse normal stress through the thickness of the adherends. This element formulation in conjunction with the variational principle is used for determining constitutive relations in the adhesive layer. By means of the finite element formulation presented herein, any possible adhesive-layer conditions and nonidentical adherends in a single-lap joint are taken into account. Numerical examples are provided to illustrate the effects of the thickness of adhesive and nonidentical adherends on extreme stress in the adhesive.