We present a new approach to designing three-dimensional, physically realizable porous femoral implants with spatially varying microstructures and effective material properties. We optimize over a simplified design domain to reduce shear stress at the bone-prosthetic interface with a constraint on the bone resorption measured using strain energy. This combination of objective and constraint aims to reduce implant failure and allows a detailed study of the implant designs obtained with a range of microstructure sets and parameters. The microstructure sets are either specified directly or constructed using shape interpolation between a finite number of microstructures optimized for multifunctional characteristics. We demonstrate that designs using varying microstructures outperform designs with a homogeneous microstructure for this femoral implant problem. Further, the choice of microstructure set has an impact on the objective values achieved and on the optimized implant designs. A proof-of-concept metal prototype fabricated via selective laser melting (SLM) demonstrates the manufacturability of designs obtained with our approach.
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March 2017
Research-Article
Physically Realizable Three-Dimensional Bone Prosthesis Design With Interpolated Microstructures
Andrew D. Cramer,
Andrew D. Cramer
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: a.cramer@uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: a.cramer@uq.edu.au
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Vivien J. Challis,
Vivien J. Challis
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: vchallis@maths.uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: vchallis@maths.uq.edu.au
Search for other works by this author on:
Anthony P. Roberts
Anthony P. Roberts
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: apr@maths.uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: apr@maths.uq.edu.au
Search for other works by this author on:
Andrew D. Cramer
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: a.cramer@uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: a.cramer@uq.edu.au
Vivien J. Challis
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: vchallis@maths.uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: vchallis@maths.uq.edu.au
Anthony P. Roberts
School of Mathematics and Physics,
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: apr@maths.uq.edu.au
The University of Queensland,
Brisbane QLD 4072, Australia
e-mail: apr@maths.uq.edu.au
Manuscript received June 13, 2016; final manuscript received November 29, 2016; published online January 24, 2017. Assoc. Editor: Kristen Billiar.
J Biomech Eng. Mar 2017, 139(3): 031013 (8 pages)
Published Online: January 24, 2017
Article history
Received:
June 13, 2016
Revised:
November 29, 2016
Citation
Cramer, A. D., Challis, V. J., and Roberts, A. P. (January 24, 2017). "Physically Realizable Three-Dimensional Bone Prosthesis Design With Interpolated Microstructures." ASME. J Biomech Eng. March 2017; 139(3): 031013. https://doi.org/10.1115/1.4035481
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