Abstract
An approximate partial interaction theory is presented for the analysis of multi-layered composite beams connected by means of adhesion. The formulation includes the effects of elastic slip, differential deflection, transverse shear deformations and unequal curvatures. An approximate strength of material approach is used modeling the beam layers as Timoshenko beams with axial deformations, and the adhesive materials as thin layers transmitting longitudinal shear and transverse normal forces. Governing differential equations are obtained. The theory is verified against finite element solutions, and a good agreement is obtained for the deformations of the adhesive layer and deflections. The error is found to be a function of the relative geometry and material properties. For the case of a system with two beam layers, if the modular ratio is greater than 50 and if the adhesive thickness-beam depth ratio is between 0.01 and 0.1, the shear stress in the adhesive is estimated within 7 percent, the normal stress in the adhesive is estimated within 10 percent and the deflections are estimated within 4 percent. The effects of the relative geometry and relative material properties are also investigated.
Osegueda, Roberto Alejandro (1987). An interaction theory for multi-layered bonded composite beam systems with shear deformation effects. Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -26890.