An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence
Kelly, Nicola Harrison, Noel M. McDonnell, Pat F. McGarry, J. Patrick
Kelly, Nicola
Harrison, Noel M.
McDonnell, Pat F.
McGarry, J. Patrick
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Repository DOI
Publication Date
2013
Keywords
Trabecular bone, Pressure-dependent yielding, Hydrostatic compression, Confined compression, microCT finite element analysis, Vertebral subsidence, Crushable foam, Finite-element models, High-speed photography, Femoral fracture load, End-plate, Mechanical properties, Cancellous bone, Compressive behavior, Cortical bone, Lumbar spine, Strength
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Article
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Citation
Kelly, N,Harrison, NM,McDonnell, P,McGarry, JP (2013) 'An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence'. Biomechanics And Modeling In Mechanobiology, 12 :685-703.
Abstract
Interbody fusion device subsidence has been reported clinically. An enhanced understanding of the mechanical behaviour of the surrounding bone would allow for accurate predictions of vertebral subsidence. The multiaxial inelastic behaviour of trabecular bone is investigated at a microscale and macroscale level. The post-yield behaviour of trabecular bone under hydrostatic and confined compression is investigated using microcomputed tomography-derived microstructural models, elucidating a mechanism of pressure-dependent yielding at the macroscopic level. Specifically, microstructural trabecular simulations predict a distinctive yield point in the apparent stress-strain curve under uniaxial, confined and hydrostatic compression. Such distinctive apparent stress-strain behaviour results from localised stress concentrations and material yielding in the trabecular microstructure. This phenomenon is shown to be independent of the plasticity formulation employed at a trabecular level. The distinctive response can be accurately captured by a continuum model using a crushable foam plasticity formulation in which pressure-dependent yielding occurs. Vertebral device subsidence experiments are also performed, providing measurements of the trabecular plastic zone. It is demonstrated that a pressure-dependent plasticity formulation must be used for continuum level macroscale models of trabecular bone in order to replicate the experimental observations, further supporting the microscale investigations. Using a crushable foam plasticity formulation in the simulation of vertebral subsidence, it is shown that the predicted subsidence force and plastic zone size correspond closely with the experimental measurements. In contrast, the use of von Mises, Drucker-Prager and Hill plasticity formulations for continuum trabecular bone models lead to over prediction of the subsidence force and plastic zone.
Funder
Publisher
Springer-Verlag
Publisher DOI
DOI 10.1007/s10237-012-0434-3
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Attribution-NonCommercial-NoDerivs 3.0 Ireland