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

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2016

Author dc:creator

• Peetz, Darin T

Contributors dc:contributor

• Elbanna, Ahmed E.

• Topology Optimization
• Trabecular Bone

Statement dc:rights

• Copyright 2016 Darin Peetz

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/90831

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/90831