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Evaluating the macroscopic yield behaviour of trabecular bone using a nonlinear homogenisation approach
Francesc Levrero-Florencio1, Lee Margetts2, Erika Sales1
1Institute for Bioengineering, School of Engineering, The University of Edinburgh, Faraday Building, King׳s Buildings, EH9 3JG Edinburgh, United Kingdom.
Journal of the Mechanical Behavior of Biomedical Materials
|April 25, 2016
Summary
This study reveals trabecular bone exhibits isotropic yield behavior under tension-tension and compression-compression. However, anisotropic behavior emerges in mixed loading conditions, impacting its macroscopic yield surface characterization.
Area of Science:
- Biomechanics
- Materials Science
- Computational Modeling
Background:
- Trabecular bone's anisotropic elastic properties are often evaluated using computational homogenization and finite element (FE) modeling.
- Extending these methods to characterize macroscopic yield behavior is crucial for understanding bone mechanics.
Purpose of the Study:
- To characterize the macroscopic yield behavior of trabecular bone using computational homogenization.
- To define a homogenized multiaxial yield surface for trabecular bone under various strain combinations.
Main Methods:
- Micro-computed tomography (micro-CT) scanning of 20 trabecular bone samples.
- Conversion of micro-CT data to voxelized finite element (FE) meshes.
- Application of 160 multiaxial load cases per sample with nonlinear FE analysis.
Main Results:
- Yield strains show isotropic behavior in tension-tension and compression-compression regimes.
- Significant variation in macroscopic strain norms at yield observed in tension-compression quadrants and shear planes.
- Clockwise and counter-clockwise shear differences are notable and cannot be disregarded.
Conclusions:
- An isotropic yield surface is a suitable assumption for trabecular bone, though not universally applicable for all load cases.
- The study provides a comprehensive assessment of trabecular bone's material symmetries at the macroscale.
- Detailed insights into macroscopic yield behavior and underlying microscopic mechanics are presented.
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