Multi-objective topology optimization for trabecular bone-like structure: role of stability and surface area

Topology Optimization;Trabecular Bone

Peetz, Darin T ; Elbanna ; Ahmed E.

关键词: Topology Optimization;    Trabecular Bone;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/90831/PEETZ-THESIS-2016.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

We apply a multi-objective topology optimization framework to examine the evolution of structural complexity in a vertebral body under the competing requirements of compliance, surface area, and buckling stability. We use a classical rectangular plate model with uniform external load to demonstrate that the complexity of the resulting structure is driven by the optimization criteria rather than a specific domain geometry or loading pattern. We show that compliance minimization alone is incapable of replicating the intricate structure of the trabecular bone. Inclusion of surface area maximization is necessary for reducing member sizes and generating a sufficient number of voids, but only with the addition of the stability considerations do significant non-vertical features in the trabecular structure start to develop, giving the full sponge-like architecture. In addition, our multi-objective approach provides the flexibility to determine the relative role of the different objectives without the need to specify preset values for constraint functions that may not be directly available. We discuss the implications of our work, particularly in the realm of biomimicry.