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Lazy zone bone remodeling theory and its relation to topology optimization
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2012 (English)In: Annals of Solid and Structural Mechanics, ISSN 1867-6936, Vol. 4, no 1-2, 25-32 p.Article in journal (Refereed) Published
Abstract [en]

The connection between apparent density-type bone remodeling theories and density formulations of topology optimization is well known from a large number of publications and its theoretical basis has recently been discussed by making use of a dynamical systems approach to optimization. The present paper takes this connection one step further by showing how the Coleman–Noll procedure of rational thermodynamics can be used to derive general dynamical systems, where a special case includes the lazy zone concept of bone remodeling theory. It is also shown how a numerical solution method for the dynamical system can be developed by using the sequential convex approximation idea. The method is employed to obtain a series of solutions that show the influence of modeling parameters representing elements of plasticity and viscosity in the growth process.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2012. Vol. 4, no 1-2, 25-32 p.
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:liu:diva-85616DOI: 10.1007/s12356-012-0030-3OAI: oai:DiVA.org:liu-85616DiVA: diva2:571908
Available from: 2012-11-26 Created: 2012-11-26 Last updated: 2017-05-15

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Klarbring, AndersTorstenfelt, Bo

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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