Analytical modelling of multilayer beams with compliant interfaces

Different mathematical models are proposed and their analytical solutions derived for the analysis of linear elastic Reissner\'s multilayer beams. The models take into account different combinations of contact plane conditions, different material properties of individual layers, different transverse shear deformations of each layer, and different boundary conditions of the layers. The analytical studies are carried out to evaluate the influence of different contact conditions on the static and kinematic quantities. A considerable difference of the results between the models is obtained.