Cast Nozzle Convex Arc Flange Stress Distribution

The patent applies curvature by forming convex arc portions on the lower surface of the flange instead of using flat surfaces. This curved geometry distributes the contact area with the inclined support surfaces, reducing stress concentration at the neck between flange and tubular part. The arc portions with specific radius R create a more favorable stress distribution pattern that prevents crack initiation under thermal and mechanical loading conditions.

The patent implements local quality by providing convex arc portions only at specific locations on the flange lower surface where stress concentration occurs. These localized curved features are positioned at the convex portions of the lower surface to specifically address the neck area vulnerability, while the rest of the flange structure maintains its original geometry for functional requirements.

The convex arc portions on the flange lower surface create a curved contact interface with the inclined support surfaces. This curvature transforms the stress distribution from concentrated bending moments to distributed compressive forces, significantly reducing the bending stress at the vulnerable neck region while maintaining the upward support function.

The patent introduces a geometric dimensioning change by adding convex portions to the lower surface of the flange. This dimensional modification adds contact points or extended contact areas that distribute the upward thrust force across multiple locations, transforming a single-point or line contact into a distributed areal contact that reduces localized bending stress.

The patent applies local quality by modifying only the geometric shape of the flange lower surface with convex arc portions, rather than changing the material composition throughout. This geometric modification addresses crack resistance locally at the stress concentration zone without introducing material properties that would increase erosion or corrosion sensitivity.

The curved geometry of convex arc portions creates a more favorable stress distribution that enhances crack resistance through geometric design rather than material selection, thereby avoiding the trade-off with erosion and corrosion sensitivity that would result from using different refractory materials.

The patent implements preliminary action by designing the flange geometry with convex arc portions that proactively prevent crack formation and nozzle breakage before they occur. This preventive design extends nozzle lifespan and reduces the frequency of required nozzle exchanges, thereby maintaining casting continuity and improving productivity while preserving surface quality.

The curved convex arc portions create a geometric configuration that inherently resists crack initiation and propagation, allowing the nozzle to withstand thermal and mechanical stresses for extended periods. This reduces the need for frequent nozzle exchanges and maintains casting continuity.