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All bones comprise an outer layer of compact bone, and an interior made up of spongy bone tissue, also called cancellous or trabecular bone. In long bones, spongy bone tissue is mainly found in the interior of the epiphyses (broad ends of the bone).
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Most bones contain compact and spongy osseous tissue, but their distribution and concentration vary based on the bone's overall function.
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Length scale parameter of single trabecula in cancellous bone.

Majid Akbarzadeh Khorshidi1

  • 1School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran. majid.akbarzadeh.kh@gmail.com.

Biomechanics and Modeling in Mechanobiology
|February 29, 2020
PubMed
Summary

This study investigates the material length scale parameter in modified couple stress theory for human trabecular bone. A size-dependent parameter was extracted, improving micro-mechanical analysis and buckling behavior predictions for trabeculae.

Keywords:
BiomechanicsCancellous boneLength scale parameterMicromechanicsModified couple stress theory

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Area of Science:

  • Biomechanics
  • Materials Science
  • Orthopedics

Background:

  • Trabecular bone exhibits size-dependent mechanical properties.
  • Modified couple stress theory accounts for material length scale effects.
  • Understanding trabecular bone mechanics is crucial for skeletal health.

Purpose of the Study:

  • To study the material length scale parameter of modified couple stress theory for trabecular bones.
  • To extract a size-dependent length scale parameter for trabeculae.
  • To accurately estimate buckling behaviors of dry and wet trabeculae.

Main Methods:

  • Utilized experimental data for buckling of single wet and dry human trabeculae.
  • Applied modified couple stress theory-based buckling relation.
  • Extracted material length scale parameter from experimental results.

Main Results:

  • A material length scale parameter was successfully extracted.
  • This parameter captures the size-dependent behavior of trabeculae.
  • A size-dependent length scale parameter was proposed for improved buckling estimations.

Conclusions:

  • The material length scale parameter is beneficial for micro-mechanical investigation of trabecular bones.
  • Softening effects and size-dependent behavior are relevant in specific cases.
  • A correct value for the trabecula length scale parameter was revealed.