Linear elastic solutions for slotted plates revisited

Abstract eng:
Under plane stress loading conditions, the stress concentration factor determined from a finite element analysis of a plate with a slot having rounded ends in the shape of a Riabouchinsky roulette is compared to an analytical expression for the stress concentration factor obtained by a complex variable method. Good agreement is obtained between the two analyses for uniaxial tensile loads applied at infinity in a direction perpendicular to the longitudinal slot axis. When the maximum stress of this particular slot solution is further compared to two analogous hole problems, the elliptical and ovaloid holes, the new stress concentration factor is shown to be lower for identical aspect ratios of principal axes. This would indicate that when stress is critical in a component requiring a slot, this special shape may prove useful.

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