Mapping Relationship for the Performance of Porous Structures Based on the Principle of Least Action

To expand the optimization design method of porous structures under existing topological configurations, a mapping relationship of mechanical characteristic for porous structures based on PLA is proposed inspired by PLA in physics. Combined with the extreme phenomenon of curvature for the BCC with different node optimized radius and most extreme phenomena in nature often revealed by PLA, a mapping relationship based on the mechanical properties of PLA porous structure is established through the mechanical model and influencing factors of porous structure. To verify the effectiveness and rationality of the mapping relationship, a series of BCC porous structures with different optimization radius are constructed, and the curvature evolution trend and mechanical properties of the structure are discussed by combining simulation analysis and experiment. The results indicate that the average curvature evolution characteristic of samples show an extreme value phenomenon, and the equivalent elastic modulus and yield strength corresponding to the extreme value phenomenon can be effectively increased by 26.29%, 9.53%; and the experiments of porous structure samples manufactured by SLM show that the equivalent elastic modulus and first peak strength of the porous structure are 18.81% and 20.14% higher than the unoptimized structure, respectively. Moreover, this study provides a new optimization idea for the design or multifunction application of porous structures and offers the theoretical basis for further innovative research of natural evolution optimization methods in porous structures. © 2024 Chinese Mechanical Engineering Society. All rights reserved.