Abstract
The effect of the corner angle on bimaterial corner stresses is studied. Corners (with one side bonded) and joints (with both sides bonded) are studied considering the materials to be elastic and plastic. Two structures with bimaterial corners, lap and scarf joints are considered. For the elastic analysis, the singularity at the corner as well as the stress intensity factor are found for a range of angles using the Betti’s law based reciprocal work contour integral theorem which combines the ease of finite element calculations far away from the corner with the singular representation near the corner. The singularity and the stress intensity factors were found to depend on the angle. For the work-hardening plastic analysis, a fourth order differential equation was solved to obtain the singularity at the corner and finite element solutions were used to obtain stress intensity factors. These parameters were found to depend on load level, hardening exponent and the angle. It is concluded that the stress intensity factors are unsuitable as failure criteria for a corner with varying angle. One exception was found to be for a corner with high yielding that gave rise to a constant stress intensity factor for different corner angles.
Published Version
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