摘要：Predicting bond strength is the most common task in adhesion mechanics. To solve these problems, a contact layer model which describes the interaction of the substrate and adhesive layers, can be used. With the use of this model, which provides calculating the inhomogeneous stress-strain state of adhesive joints, a wide range of problems has been solved. Despite the fact that solutions, as a rule, are obtained in a closed analytical form, their use for processing experimental data can be difficult due to its complexity. In this regard a method that makes it possible to reduce the order of the resolving system of equations by introducing an integral contact layer connecting the adhesive layer and adjacent contact layers is proposed in this work. The application of this approach is demonstrated by the example of the most common adhesive lapped joint. As a result, the formulas for determining the parameters of the integral contact layer have been obtained. Comparison of the results obtained for the exact solution of the problem with the results obtained for the models with an integral contact layer is carried out.
