About this Abstract |
| Meeting |
2026 TMS Annual Meeting & Exhibition
|
| Symposium
|
Bio-Nano Interfaces and Engineering Applications
|
| Presentation Title |
Hierarchical elastoplasticity of cortical bone: Observations, mathematical
modeling, validation |
| Author(s) |
Valentina Kumbolder, Claire Morin, Stefan Scheiner, Christian Hellmich |
| On-Site Speaker (Planned) |
Christian Hellmich |
| Abstract Scope |
Motivated by evidence of hydrated nanocrystals from NMR and molecular dynamics simulations, we develop a six-step hierarchical micromechanics model for the elastoplasticity of cortical bone. For that purpose, the concentration-influence tensor concept is generalized for a multi-scale situation, quantifying the mechanical interaction between elastic and plastic strains between material phases. This hierarchical interaction scheme is complemented by non-associated Mohr–Coulomb plasticity assigned to the mineral crystal phases, and a return-mapping algorithm adapted to semi-analytical continuum micromechanics. Founded on elastic and strength properties of molecular collagen and hydroxyapatite, the model passes comprehensive experimental validation at the extrafibrillar, extracellular, extravascular, and cortical observation scales. It reveals cortical bone strength to increase nonlinearly with the vascular porosity, and to depend bi-linearly on the extracellular mass density, while elucidating plastic spreading events at the hydrated nanocrystal scale, which are fundamentally different in tensile and compressive loading.
Reference:
Mechanics of Materials 198 (2024) 105140. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Biomaterials, Modeling and Simulation, Mechanical Properties |