The contact layer stiffness influence assessment on the stress-strain state of a multilayer beam

Abstract

Abstract The article is devoted to the stress-strain state of multilayer beams’ study of the. The beam model is represented by the main and connecting layers. For the main layers, the classical Euler-Bernoulli hypotheses are used. The contact layer model is used to describe the connecting layers. As a result, a system of resolving equations for solving numerous problems is obtained. As an example, the analytical solution to the problem of bending a two-layer beam is given. The resulting solution describes the stress-strain state of the beam in the range from the ideal contact of the main layers to the complete absence of the contact. It is shown that the used model of the contact layer allows satisfying all the boundary conditions, including the fact that the tangent stresses at corner points are equal to zero. The influence of the contact layer’s stiffness on the model’s stress-strain state is analyzed.