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Multiscale Homogenization Techniques for TPMS Foam Material for Biomedical Structural Applications.

Ana Pais1, Jorge Lino Alves1,2, Renato Natal Jorge1,2

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|May 27, 2023
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Summary
This summary is machine-generated.

Numerical homogenization of gyroid and primitive surfaces optimizes lattice structures for biomedical applications. This method develops material laws for improved functionally graded implants, reducing stress shielding and matching bone stiffness.

Keywords:
biomedical applicationfemoral stemhomogenizationmechanical propertiesmultiscaletriply periodic minimal surfaces

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Area of Science:

  • Computational mechanics
  • Materials science
  • Biomedical engineering

Background:

  • Lattice structures, particularly triply periodic minimal surface (TPMS) based ones like gyroid and primitive surfaces, offer tunable mechanical properties.
  • Analyzing these complex structures at full detail is computationally intensive, hindering design optimization.
  • Multiscale techniques, such as homogenization, can overcome these limitations by providing effective material properties.

Purpose of the Study:

  • To investigate the elastic and plastic properties of gyroid and primitive TPMS cellular structures using numerical homogenization.
  • To develop accurate material laws for homogenized Young's modulus and yield stress.
  • To demonstrate the application of these material laws in designing optimized, functionally graded biomedical implants, specifically a femoral stem, to mitigate stress shielding.

Main Methods:

  • Numerical homogenization was employed to analyze the mechanical behavior of gyroid and primitive TPMS cellular structures.
  • Material laws for effective elastic and plastic properties were derived from the homogenization results.
  • These material laws were then used in an optimization analysis to design a functionally graded femoral stem.

Main Results:

  • The derived material laws for homogenized Young's modulus and yield stress showed good agreement with existing experimental data.
  • A functionally graded femoral stem design using a gyroid foam structure was developed.
  • The optimized femoral stem exhibited stiffness comparable to trabecular bone, effectively minimizing stress shielding and reducing peak stresses within the implant.

Conclusions:

  • Numerical homogenization is an effective multiscale technique for characterizing TPMS cellular structures, enabling the development of accurate material models.
  • Functionally graded designs based on these models can significantly improve the performance of biomedical implants, such as femoral stems.
  • The developed approach offers a pathway to creating implants that better integrate with bone tissue, reducing adverse effects like stress shielding.