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

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Patrik Müller
  • Alexander Synek
  • Timo Stauß
  • Carl Steinnagel
  • Tobias Ehlers
  • Paul Christoph Gembarski
  • Dieter Pahr
  • Roland Lachmayer

External Research Organisations

  • TU Wien (TUW)
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Details

Original languageEnglish
Article number5719
Pages (from-to)5719
JournalScientific reports
Volume14
Issue number1
Publication statusPublished - 8 Mar 2024

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.

Keywords

    Humans, Hip Prosthesis, Prosthesis Design, Arthroplasty, Replacement, Hip/methods, Femur, Finite Element Analysis, Stress, Mechanical, Lattice structures, Topology optimization, Micro-FE, Additive manufacturing, Individualized hip endoprosthesis

ASJC Scopus subject areas

Cite this

Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE. / Müller, Patrik; Synek, Alexander; Stauß, Timo et al.
In: Scientific reports, Vol. 14, No. 1, 5719, 08.03.2024, p. 5719.

Research output: Contribution to journalArticleResearchpeer review

Müller, P., Synek, A., Stauß, T., Steinnagel, C., Ehlers, T., Gembarski, P. C., Pahr, D., & Lachmayer, R. (2024). Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE. Scientific reports, 14(1), 5719. Article 5719. https://doi.org/10.1038/s41598-024-56327-4
Müller P, Synek A, Stauß T, Steinnagel C, Ehlers T, Gembarski PC et al. Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE. Scientific reports. 2024 Mar 8;14(1):5719. 5719. doi: 10.1038/s41598-024-56327-4
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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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AU - Ehlers, Tobias

AU - Gembarski, Paul Christoph

AU - Pahr, Dieter

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