Abstract
The closed-form solution for the J-integral of a single-lap joint is presented based on the stress field derived from Reissner’s mixed variational principle. In an adhesive-bonded joint, loads are carried by the surface of the adherends in shear through an adhesive layer, and thus, the shear effect is important. To improve the accuracy of shear response in fracture analysis, all transverse effects of the shear and peel stresses are considered, and then the constitutive equations and the equilibrium equations are derived from the variational principle. The obtained J-integral gives additional terms on the transverse shear part of the total integral compared with the results from previous conventional analysis, and illustrative examples are provided to show the effects of the current approach. Also, the formulation proposed in this paper can deal with non-identical adherends and laminates easily.
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