Adding quadric fillets to quador lattice structures

TL;DR

This paper introduces a method to add quadric fillets to quador lattice structures, reducing stress concentration at edges while maintaining computational efficiency, thereby improving their structural performance.

Contribution

It presents a novel approach for incorporating quadric fillets into quador lattice structures, addressing stress-raising issues without sacrificing simplicity.

Findings

Fillets reduce stress concentrations at edges.

Method retains computational simplicity.

Improves structural durability under cyclic loading.

Abstract

Gupta et al. [1, 2] describe a very beautiful application of algebraic geometry to lattice structures composed of quadric of revolution (quador) implicit surfaces. However, the shapes created have concave edges where the stubs meet, and such edges can be stress-raisers which can cause significant problems with, for instance, fatigue under cyclic loading. This note describes a way in which quadric fillets can be added to these models, thus relieving this problem while retaining their computational simplicity and efficiency.