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The analytic solution of the mode I stress intensity factor for spot welds in lap-shear specimens is investigated based on the classical Kirchhoff plate theory for linear elastic materials. Approximate closed-form solutions for a finite square plate containing a rigid inclusion under counter bending conditions are first derived. Based on the J integral, the closed-form structural stress solution is used to develop the analytic solution of the mode I stress intensity factor for spot welds in lap-shear specimens of finite size. Finally, the analytic solution of the mode I stress intensity factor based on the stress solution for a finite square plate with an inclusion is compared with the results of the three-dimensional finite element computations for lap-shear specimens with various ratios of the specimen half width to the nugget radius.

Microstructures and failure mechanisms of spot friction welds (SFW) in aluminum 5754 lap-shear specimens were investigated. In order to study the effect of tool geometry on the joint strength of spot friction welds, a concave tool and a flat tool were used. In order to understand the effect of tool penetration depth on the joint strength, spot friction welds were prepared with two different penetration depths for each tool. The results indicated that the concave tool produced slightly higher joint strength than the flat tool. The joint strength did not change for the two depths for the flat tool whereas the joint strength slightly increases as the penetration depth increases for the concave tool. The experimental results show that the failure mechanism is necking and shearing for the spot friction welds made by both tools. The failure was initiated and fractured through the upper sheet under the shoulder indentation near the crack tip.