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Elbanna, Ahmed E. Peetz, Darin T 2016-07-07T20:35:16Z 2016-07-07T20:35:16Z 2018-07-08T09:15:27Z 2016-04-28 2016-05 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. Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-05-01 The student, Darin Peetz, accepted the attached license on 2016-04-26 at 07:35. The student, Darin Peetz, submitted this Thesis for approval on 2016-04-26 at 07:43. This Thesis was approved for publication on 2016-04-28 at 13:34. DSpace SAF Submission Ingestion Package generated from Vireo submission #9494 on 2016-07-07 at 13:50:53 Made available in DSpace on 2016-07-07T20:35:16Z (GMT). No. of bitstreams: 4 PEETZ-THESIS-2016.pdf: 1104452 bytes, checksum: a1019b9d3abaadc748ab0133f112b950 (MD5) Thesis.zip: 3857779 bytes, checksum: b587630d95ba35c39b935b6f85a80a9c (MD5) Thesis_1.zip: 3857982 bytes, checksum: 3766d30a86cc2b5e914f0f9c4bd555b8 (MD5) LICENSE.txt: 4208 bytes, checksum: 12e50f9bec4d3ababfc60c4401475e88 (MD5) Previous issue date: 2016-04-28 Embargo set by: Seth Robbins for item 93184 Lift date: 2018-07-07T20:35:34Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 93184 on 2018-07-08T09:15:27Z. application/pdf http://hdl.handle.net/2142/90831 en Copyright 2016 Darin Peetz Topology Optimization Trabecular Bone Multi-objective topology optimization for trabecular bone-like structure: role of stability and surface area text text Civil & Environmental Eng Civil Engineering University of Illinois at Urbana-Champaign Thesis M.S.