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Updated: Jul 6, 2026
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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
Published on: April 11, 2018
A three-dimensional elastic plastic damage constitutive law for bone tissue.
David Garcia1, Philippe K Zysset, Mathieu Charlebois
1Laboratory of Applied Mechanics and Reliability Analysis, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
Biomechanics and Modeling in Mechanobiology
|April 10, 2008
Summary
A new 3D constitutive law models bone's mechanical behavior under cyclic overload, integrating elastic, plastic, and damage aspects. This model enhances understanding of bone and bone-implant systems for improved biomechanical analysis.
Area of Science:
- Biomechanics
- Materials Science
- Computational Mechanics
Background:
- Bone exhibits complex mechanical behavior under cyclic loading.
- Understanding bone's response is crucial for designing bone-implant systems.
- Existing models may not fully capture the interplay of elastic, plastic, and damage mechanisms.
Purpose of the Study:
- To develop a 3D constitutive law for cortical and trabecular bone under cyclic overload.
- To integrate elastic, plastic, and damage material evolution modes.
- To provide a robust model for biomechanical applications.
Main Methods:
- Formulation within the framework of generalized standard materials.
- Morphology-based model for anisotropic elasticity.
- Halfspacewise generalized Hill criterion for distinct tension/compression damage.
- Plastic criterion based on intact elastic compliance tensor.
- Algorithm with three distinct projections and consistent tangent operators.
Main Results:
- A comprehensive 3D constitutive law for bone under cyclic overload.
- Demonstration of closely related elastic, plastic, and damage aspects.
- Successful numerical resolution of boundary value problems.
- Validation through a biomechanical application.
Conclusions:
- The developed constitutive model accurately describes bone's macroscopic mechanical behavior.
- The model's potential is illustrated through numerical simulations and biomechanical applications.
- The algorithm demonstrates expected quadratic convergence, enabling efficient computation.
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