Time-Temperature Effect in Adhesively Bonded Joints

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Abstract
In this paper the viscoelastic analysis of an adhesively bonded lap joint is reconsidered. The adherends are approximated by essentially Reissner plates and the adhesive is assumed to be linearly viscoelastic. The hereditary in tegrals are used to model the adhesive. The problem is reduced to a system of linear integral-differential equations for the shear and the tensile stress in the adhesive. For a constant operating temperature, the equations are shown to have constant coefficients and are solved by using Laplace transforms. It is also shown that if the temperature variation in time can be approximated by a piecewise constant function, then the method of Laplace transforms could still be used to solve the problem. A numerical example is given for a single lap joint under various loading conditions and operating at temperatures 70, 100, 140 and 180°F.

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