This study presents a preliminary assessment of the structural behavior of a Bézier-based lattice elementary cell, focusing on the influence of ligament thickness and position of control points of the base curve. Only nine finite element analyses were conducted in Abaqus to evaluate the effects of the geometric parameters on stress distribution, displacement, strain energy and cell volume. Results reveal that ligament thickness exhibits a strong linear correlation with cell volume and a moderate correlation with stress, displacement and strain energy. The position of the intermediate control points in the direction perpendicular to the segment connecting the base curve endpoints shows moderate correlations with structural response. These findings offer preliminary design guidance for tailoring Bézier-based lattice cells for lightweight structures with minimal computational effort.
Arcieri et al. (Thu,) studied this question.