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Green's functions are generated for a simply supported, shear deformable, beam under concentrated loads and moments. These functions are subsequently employed to evaluate the stress transfer mechanisms within an adhesively joined composite beam, with particular attention to the stress field within the adhesive bond line. It is shown that the stacking order of the composite beam affects the sign of the peel stresses, switching from tensile to compressive. The results, which are obtained by solving a system of linear algebraic equations, are in good agreement with the more cumbersome finite element solutions.

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