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Related Experiment Video

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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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An over-nonlocal implicit gradient-enhanced damage-plastic model for trabecular bone under large compressive strains.

Hadi S Hosseini1, Martin Horák2, Philippe K Zysset1

  • 1Faculty of Medicine, Institute for Surgical Technology and Biomechanics, University of Bern, Stauffacherstr. 78, Bern, CH-3014, Switzerland.

International Journal for Numerical Methods in Biomedical Engineering
|June 3, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a new computational model for trabecular bone that accurately predicts bone failure and compaction under large compression. The model reduces mesh dependency, improving simulations for conditions like osteoporotic fractures.

Keywords:
bone localizationdensificationlarge deformationnonlocal damagesoftening

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Area of Science:

  • Biomechanics
  • Computational Solid Mechanics
  • Materials Science

Background:

  • Trabecular bone strength and compaction are critical for predicting fracture risk.
  • Classical local damage-plastic models exhibit numerical instabilities and mesh dependency at 1-2% compressive strain due to bone strain softening.

Purpose of the Study:

  • To enhance a continuum damage-plastic model of bone to minimize finite element mesh size influence during large compression.
  • To improve the prediction of trabecular bone failure and compaction.

Main Methods:

  • Developed and implemented an over-nonlocal implicit gradient model for bone using ABAQUS user element subroutine.
  • Incorporated nonlocal effects of cumulated plastic strain into the constitutive law to circumvent spurious numerical phenomena.
  • Validated the model against experimental stepwise loading data from 16 human trabecular bone biopsies.

Main Results:

  • The nonlocal model demonstrated reduced finite element mesh dependency compared to local damage-plastic models.
  • Achieved reduced computational costs for large-strain compression simulations.
  • Successfully detected regions of bone failure in experimental tests.

Conclusions:

  • The proposed model is the first to predict trabecular bone failure and densification up to large compression independently of finite element mesh size.
  • This advancement enables the analysis of bone compaction in scenarios like osteoporotic fractures and implant migration, where large bone deformation is significant.