Topology Optimization Designs and Buckling Resistance across Lightweight Lattice Structures

Abstract

The transition towards lightweight structural materials in aerospace, automotive, and biomedical engineering has driven significant advancements in topology optimization and the implementation of lattice structures. While these cellular materials offer exceptional strength-to-weight ratios and energy absorption capabilities, their integration into safety-critical applications is frequently hindered by uncertainties regarding structural reliability and susceptibility to buckling under compressive loads. This paper provides a comprehensive academic investigation into the reliability testing of topology-optimized designs, specifically focusing on buckling resistance within lightweight lattice structures. Through rigorous computational methodologies, the study evaluates how manufacturing-induced defects and geometric variations impact the critical buckling loads of strut-based and surface-based lattice configurations. The research systematically isolates the parameters influencing structural instability, demonstrating that optimized topologies inherently possess varying degrees of sensitivity to localized geometric perturbations. A robust reliability analysis framework, integrating probabilistic modeling and deterministic finite element simulations, is presented to quantify the probabilistic margins of safety. The findings underscore the critical necessity of incorporating buckling constraints and defect-informed reliability metrics directly into the initial stages of topology optimization algorithms. This approach ensures that the resulting lightweight structures maintain theoretical efficiency while demonstrating practical resilience against sudden catastrophic failure modes typical of cellular instability.