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Structural optimization system based on trabecular bone surface adaptation

Structural and Multidisciplinary Optimization volume 32, pages 241–249 (2006)Cite this article

Abstract

In the paper the structural optimization system based on trabecular bone surface adaptation is presented. The basis of the algorithm formulation was the phenomenon of bone adaptation to mechanical stimulation. This process, called remodeling, leads to the optimization of the trabecular network in the bone. The simulation system, as well as the finite element mesh generation, decision criteria for structural adaptation, and the finite element analysis in a parallel environment are described. The possibility of applying the system in mechanical design is discussed. Some computation results using the developed system are presented, including the comparison to the topology optimization method.

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References

  • Adachi T, Tomita Y (2002) Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state. J Biomech 35:1541–1551

    Article  Google Scholar 

  • Bendsoe MP, Sigmund O (2003) Topology optimization—theory, methods and applications. Springer, Berlin Heidelberg New York, ISBN 3-540-42992-1

    Google Scholar 

  • Dzieniszewski W (1983) Shape optimization with elastic theory assumptions, structural strength optimization, institute of fundamental technological research. OSSOLINEUM, Poland, ISBN 83-04-011348-7 (in Polish)

    Google Scholar 

  • Huiskes HWJ et al (2000) Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature 404:704–706

    Article  Google Scholar 

  • Kowalczyk P (1991) Review of constitutive models for living tissues. Mech Teor Stosow 29:333–353

    Google Scholar 

  • Lekszycki T (2002) Modelling of bone adaptation based on an optimal response hypothesis. Meccanica 37:343–354

    MATH  Article  MathSciNet  Google Scholar 

  • Niebur GL, Feldstein MJ, Yuen JC, Chen TJ, Keaveny TM (2000) High resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. J Biomech 33:1575–1583

    Article  Google Scholar 

  • Nowak M, Morzyński M (2004) Simulation of trabecular bone adaptation—creating the optimal structure. In: Proceedings of the 21st congress of theoretical and applied mechanics, ICTAM04, Warsaw, Poland, 15–21 August 2004, p 360

  • Pedersen P (2003) Optimal designs—structures and materials—problems and tools. MEK Publications, Denmark, ISBN 87-90416-06-6

    Google Scholar 

  • Pedersen P (2004) Examples of density, orientation and shape optimal 2D-design for stiffness and/or strength with orthotropic materials. Struct Multidisc Optim 26:37–49

    Article  Google Scholar 

  • Ruimerman R (2005) Modeling and remodeling in bone tissue. Eindhoven, The Netherlands, ISBN 90-386-2856-0

    Google Scholar 

  • Ruimerman R et al (2003) A 3-dimensional computer model to simulate trabecular bone metabolism. Biorheology 40:315–320

    Google Scholar 

Download references

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Authors and Affiliations

  1. Poznań University of Technology, ul. Piotrowo 3, 60-965, Poznań, Poland

    Michał Nowak

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  1. Michał Nowak
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Correspondence to Michał Nowak.

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Nowak, M. Structural optimization system based on trabecular bone surface adaptation. Struct Multidisc Optim 32, 241–249 (2006). https://doi.org/10.1007/s00158-006-0027-9

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  • DOI: https://doi.org/10.1007/s00158-006-0027-9

Keywords

  • Biomechanics
  • Structural analysis
  • Optimization
  • Trabecular bone structure