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Simple constitutive model for a cortical bone.

D Krajcinovic1, J Trafimow, D Sumarac

  • 1Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois, Chicago.

Journal of Biomechanics
|January 1, 1987
PubMed
Summary

This study introduces a new constitutive model for cortical bone, accurately predicting its behavior using continuum damage theory. The model closely matches experimental data without needing unidentifiable parameters.

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Area of Science:

  • Biomaterials Science
  • Mechanical Engineering
  • Computational Modeling

Background:

  • Cortical bone exhibits complex mechanical properties due to its haversian structure.
  • Existing models often require numerous experimentally unidentifiable parameters.
  • Continuum damage theory provides a framework for modeling material degradation.

Purpose of the Study:

  • To develop a simple, one-dimensional constitutive model for cortical bone.
  • To derive the kinetic equation from fundamental principles of mesostructural changes.
  • To validate the model against experimental data.

Main Methods:

  • Development of a one-dimensional constitutive model.
  • Application of continuum damage theory.
  • Derivation of kinetic equations based on irreversible mesostructural changes.

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Main Results:

  • The proposed model accurately approximates experimental measurements of cortical bone behavior.
  • The derived kinetic equation captures the irreversible changes in mesostructure.
  • The model avoids the use of experimentally unidentifiable material parameters.

Conclusions:

  • The developed constitutive model offers a simplified yet accurate representation of cortical bone.
  • The approach provides a robust method for modeling bone mechanics.
  • This model has potential applications in biomechanical analysis and implant design.