Development of a crushable foam model for human trabecular bone

Navid Soltanihafshejani*, Thom Bitter, Dennis Janssen, Nico Verdonschot

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Finite element (FE) simulations can be used to evaluate the mechanical behavior of human bone and allow for quantitative prediction of press-fit implant fixation. An adequate material model that captures post-yield behavior is essential for a realistic simulation. The crushable foam (CF) model is a constitutive model that has recently been proposed in this regard. Compression tests under uniaxial and confined loading conditions were performed on 59 human trabecular bone specimens. Three essential material parameters were obtained as a function of bone mineral density (BMD) to develop the isotropic CF model. The related constitutive rule was implemented in FE models and the results were compared to the experimental data. The CF model provided an accurate simulation of uniaxial compression tests and the post-yield behavior of the stress-strain was well-matched with the experimental results. The model was able to reproduce the confined response of the bone up to 15% of strain. This model allows for simulation of the mechanical behavior of the cellular structure of human bone and adequately predicts the post-yield response of trabecular bone, particularly under uniaxial loading conditions. The model can be further improved to simulate bone collapse due to local overload around orthopaedic implants.

Original languageEnglish
Pages (from-to)53-63
Number of pages11
JournalMedical engineering & physics
Early online date2 Sep 2021
Publication statusPublished - Oct 2021


  • Crushable foam model
  • Experimental testing
  • Finite element analysis
  • Human trabecular bone
  • Yield surface
  • UT-Hybrid-D


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