A new theory is presented for the calculation of elastic stresses in adhesive bonded lap joints which simultaneously includes the effects of bending, stretching and shearing of the adherends and accounts for the shearing and tearing actions in the adhesive layer. The approach provides a unified treatment for a wide range of material elastic properties and ensures exact satisfaction of all conditions of stress equilibrium in the joint, including the stress-free surface condition at the ends of an adhesive layer. The paper gives analytic solutions for the classical problem of the symmetric single-lap joint, but the method has potential both for other types of bonded joint and for approximate numerical solutions using a simple finite element concept.
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Dan Allman (1977) studied this question.