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Mesh-independent damage model for trabecular bone fracture simulation and experimental validation.

Xuan Nam Do1, Ridha Hambli2, Jean-François Ganghoffer1

  • 1LEM3, Université de Lorraine - CNRS - Arts et Métiers Paristech, Metz Cedex, France.

International Journal for Numerical Methods in Biomedical Engineering
|April 25, 2021
PubMed
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This study introduces a new computational model for trabecular bone fracture, accurately simulating bone failure phases. The model combines continuum damage and discontinuity for precise analysis of quasi-brittle bone tissue.

Area of Science:

  • Computational mechanics
  • Biomaterials science
  • Orthopedic biomechanics

Background:

  • Trabecular bone exhibits complex failure mechanisms.
  • Existing models may not fully capture the multi-phase fracture behavior of bone tissue.
  • Understanding bone fracture is crucial for developing effective treatments and implants.

Purpose of the Study:

  • To develop and validate a novel two-dimensional constitutive model for trabecular bone.
  • To incorporate continuum damage mechanics with embedded strong discontinuity.
  • To accurately describe the three failure phases of trabecular bone as a quasi-brittle material.

Main Methods:

  • Finite element implementation using constant strain triangle (CST) elements.
  • Implicit solution of displacement jump vector via return mapping algorithm.
Keywords:
bending testembedded strong discontinuity approach (ESDA)localizationmesh-independencyquasi-static regimetrabecular bonevalidation

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  • Global equilibrium solved using the Newton-Raphson method.

    • Main Results:

    • The proposed model successfully describes the three failure phases of trabecular bone.
    • Numerical simulations of three-point bending tests on bovine trabeculae showed good agreement with experimental data.
    • Validation confirmed the model's accuracy in capturing both global and local fracture aspects.

    Conclusions:

    • The developed constitutive model provides a robust framework for simulating trabecular bone fracture.
    • The model's ability to capture multi-phase failure enhances its applicability in biomechanical research.
    • This work contributes to a better understanding of bone mechanics and fracture prediction.