Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE

Abstract Prosthetic implants, particularly hip endoprostheses, often lead to stress shielding because of a mismatch in compliance between the bone and the implant material, adversely affecting the implant’s longevity and effectiveness. Therefore, this work aimed to demonstrate a computationally effi...

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Main Authors: Patrik Müller, Alexander Synek, Timo Stauß, Carl Steinnagel, Tobias Ehlers, Paul Christoph Gembarski, Dieter Pahr, Roland Lachmayer
Format: Article
Language:English
Published: Nature Portfolio 2024-03-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-56327-4
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author Patrik Müller
Alexander Synek
Timo Stauß
Carl Steinnagel
Tobias Ehlers
Paul Christoph Gembarski
Dieter Pahr
Roland Lachmayer
author_facet Patrik Müller
Alexander Synek
Timo Stauß
Carl Steinnagel
Tobias Ehlers
Paul Christoph Gembarski
Dieter Pahr
Roland Lachmayer
author_sort Patrik Müller
collection DOAJ
description Abstract Prosthetic implants, particularly hip endoprostheses, often lead to stress shielding because of a mismatch in compliance between the bone and the implant material, adversely affecting the implant’s longevity and effectiveness. Therefore, this work aimed to demonstrate a computationally efficient method for density-based topology optimization of homogenized lattice structures in a patient-specific hip endoprosthesis. Thus, the root mean square error (RMSE) of the stress deviations between the physiological femur model and the optimized total hip arthroplasty (THA) model compared to an unoptimized-THA model could be reduced by 81 % and 66 % in Gruen zone (GZ) 6 and 7. However, the method relies on homogenized finite element (FE) models that only use a simplified representation of the microstructural geometry of the bone and implant. The topology-optimized hip endoprosthesis with graded lattice structures was synthesized using algorithmic design and analyzed in a virtual implanted state using micro-finite element (micro-FE) analysis to validate the optimization method. Homogenized FE and micro-FE models were compared based on averaged von Mises stresses in multiple regions of interest. A strong correlation (CCC > 0.97) was observed, indicating that optimizing homogenized lattice structures yields reliable outcomes. The graded implant was additively manufactured to ensure the topology-optimized result’s feasibility.
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spelling doaj.art-8d30583046674582ab0c47b4180698852024-03-10T12:11:32ZengNature PortfolioScientific Reports2045-23222024-03-0114111410.1038/s41598-024-56327-4Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FEPatrik Müller0Alexander Synek1Timo Stauß2Carl Steinnagel3Tobias Ehlers4Paul Christoph Gembarski5Dieter Pahr6Roland Lachmayer7Institute of Product Development, Leibniz University of HannoverTU Wien, Institute for Lightweight Design and Structural BiomechanicsInstitute of Product Development, Leibniz University of HannoverInstitute of Product Development, Leibniz University of HannoverInstitute of Product Development, Leibniz University of HannoverInstitute of Product Development, Leibniz University of HannoverTU Wien, Institute for Lightweight Design and Structural BiomechanicsInstitute of Product Development, Leibniz University of HannoverAbstract Prosthetic implants, particularly hip endoprostheses, often lead to stress shielding because of a mismatch in compliance between the bone and the implant material, adversely affecting the implant’s longevity and effectiveness. Therefore, this work aimed to demonstrate a computationally efficient method for density-based topology optimization of homogenized lattice structures in a patient-specific hip endoprosthesis. Thus, the root mean square error (RMSE) of the stress deviations between the physiological femur model and the optimized total hip arthroplasty (THA) model compared to an unoptimized-THA model could be reduced by 81 % and 66 % in Gruen zone (GZ) 6 and 7. However, the method relies on homogenized finite element (FE) models that only use a simplified representation of the microstructural geometry of the bone and implant. The topology-optimized hip endoprosthesis with graded lattice structures was synthesized using algorithmic design and analyzed in a virtual implanted state using micro-finite element (micro-FE) analysis to validate the optimization method. Homogenized FE and micro-FE models were compared based on averaged von Mises stresses in multiple regions of interest. A strong correlation (CCC > 0.97) was observed, indicating that optimizing homogenized lattice structures yields reliable outcomes. The graded implant was additively manufactured to ensure the topology-optimized result’s feasibility.https://doi.org/10.1038/s41598-024-56327-4Individualized hip endoprosthesisLattice structuresTopology optimizationMicro-FEAdditive manufacturing
spellingShingle Patrik Müller
Alexander Synek
Timo Stauß
Carl Steinnagel
Tobias Ehlers
Paul Christoph Gembarski
Dieter Pahr
Roland Lachmayer
Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
Scientific Reports
Individualized hip endoprosthesis
Lattice structures
Topology optimization
Micro-FE
Additive manufacturing
title Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
title_full Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
title_fullStr Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
title_full_unstemmed Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
title_short Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE
title_sort development of a density based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro fe
topic Individualized hip endoprosthesis
Lattice structures
Topology optimization
Micro-FE
Additive manufacturing
url https://doi.org/10.1038/s41598-024-56327-4
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