A two-layer beam model with interlayer slip based on two-dimensional elasticity

The objective of this paper is the computation Airy stress function a two-layer composite beam with interlayer slip. For calculation upper and lower layer functions an iterative solution procedure from Boley-Tolins adapted, which was originally introduced for isotropic single beams under plane assumptions. Considering continuity equations interface stress, vertical deflection linear law between slip shear Boley-Tolins’ method may be extended to derive ordinary differential equation order depends on number iterations desired accuracy, ranging elementary, second more refined, fourth Finally derived models are compared by considering thick simply-supported subjected sinusoidal transverse load. results approaches two-dimensional assumptions two limit cases: perfectly bonded without bonding. It found that refined higher model almost coincides elasticity solution, even very beams, whereas elementary only yields accurate thin beam.