Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue

Kelly, Niall P.; McGarry, J. Patrick

doi:10.1016/j.jmbbm.2011.11.013

Cited by 63 publications

(49 citation statements)

References 74 publications

(124 reference statements)

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“…As experimental validation of pure hydrostatic compression is not available, confined compression simulations are also performed using the microstructural geometry. Predicted apparent stress-strain curves under confined compression exhibit a distinctive yield point followed by a stress plateau, similar to the experimental results of Kelly and McGarry (2012) and Charlebois et al (2010).…”

Section: Discussionsupporting

confidence: 86%

“…However, when apparent hydrostatic compression is applied to a μCT model, a distinctive yield point is observed in the apparent stress-strain curve, similar to the multiaxial compression results of Rincon-Kohli and Zysset (2009). This clearly demonstrates that the apparent pressure dependent yielding of trabecular bone, observed by Kelly and McGarry (2012), can occur as a result of localised stress concentrations and yielding in the trabeculae at a microstructural level without the requirement that the localised yield is pressure dependent. This distinctive yield and plateau behaviour is also observed under hydrostatic compression for a μCT model with a DP plasticity formulation.…”

Section: Discussionsupporting

confidence: 68%

“…Apparent stressstrain curves were created for each loading configuration. The simulations investigated if apparent yielding of trabecular bone (as demonstrated by Kelly and McGarry (2012)) can be captured using a simple VM plasticity formulation in addition to an explicit representation of the trabecular bone microarchitecture.…”

Section: Computational Modelling Of a Representative Trabecular Bone mentioning

confidence: 99%

“…Recently published experiments demonstrate that confined compression (Charlebois et al, 2010;Kelly and McGarry 2012) and multiaxial compression (Rincon-Kohli and Zysset 2009) loading of trabecular bone leads to apparent stress-strain curves that exhibit a distinctive yield point. Further, Kelly and McGarry (2012) demonstrated that simulation of this apparent response to confined compression using a continuum model requires the use of a pressure dependent yield formulation (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Further, Kelly and McGarry (2012) demonstrated that simulation of this apparent response to confined compression using a continuum model requires the use of a pressure dependent yield formulation (i.e. a formulation in which a purely hydrostatic stress state can result in material yielding, unlike the conventional pressure independent von Mises (VM) plasticity formulation).…”

Section: Introductionmentioning

confidence: 99%

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An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

Kelly

Harrison

McDonnell

et al. 2012

Biomech Model Mechanobiol

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PublisherSpringer-Verlag AbstractInterbody 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 micro-computed 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.

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Section: Discussionsupporting

confidence: 86%

Section: Discussionsupporting

confidence: 68%

Section: Computational Modelling Of a Representative Trabecular Bone mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

Kelly

Harrison

McDonnell

et al. 2012

Biomech Model Mechanobiol

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Nonlinear micro‐CT based FE modeling of trabecular bone—Sensitivity of apparent response to tissue constitutive law and bone volume fraction

Sabet

Jin

Korić

et al. 2017

Numer Methods Biomed Eng

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In this study, the sensitivity of the apparent response of trabecular bone to different constitutive models at the tissue level was investigated using finite element (FE) modeling based on micro-computed tomography (micro-CT). Trabecular bone specimens from porcine femurs were loaded under a uniaxial compression experimentally and computationally. The apparent behaviors computed using von Mises, Drucker-Prager, and Cast Iron plasticity models were compared. Secondly, the effect of bone volume fraction was studied by changing the bone volume fraction of a trabecular bone sample while keeping the same basic architecture. Also, constitutive models' parameters of the tissue were calibrated for porcine bone, and the effects of different parameters on resulting apparent response were investigated through a parametric study. The calibrated effective tissue elastic modulus of porcine trabecular bone was 10±1.2 GPa, which is in the lower range of modulus values reported in the literature for human and bovine trabecular bones (4-23.8 GPa). It was also observed that, unlike elastic modulus, yield properties of tissue could not be uniquely calibrated by fitting an apparent response from simulations to experiments under a uniaxial compression. Our results demonstrated that using these 3 tissue constitutive models had only a slight effect on the apparent response. As expected, there was a significant change in the apparent response with varying bone volume fraction. Also, both apparent modulus and maximum stress had a linear relation with bone volume fraction.

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Development and initial validation of a novel smoothed‐particle hydrodynamics‐based simulation model of trabecular bone penetration by metallic implants

Kulper

Fang

Ren

et al. 2017

Journal Orthopaedic Research

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A novel computational model of implant migration in trabecular bone was developed using smoothed-particle hydrodynamics (SPH), and an initial validation was performed via correlation with experimental data. Six fresh-frozen human cadaveric specimens measuring 10 × 10 × 20 mm were extracted from the proximal femurs of female donors (mean age of 82 years, range 75-90, BV/TV ratios between 17.88% and 30.49%). These specimens were then penetrated under axial loading to a depth of 10 mm with 5 mm diameter cylindrical indenters bearing either flat or sharp/conical tip designs similar to blunt and self-tapping cancellous screws, assigned in a random manner. SPH models were constructed based on microCT scans (17.33 µm) of the cadaveric specimens. Two initial specimens were used for calibration of material model parameters. The remaining four specimens were then simulated in silico using identical material model parameters. Peak forces varied between 92.0 and 365.0 N in the experiments, and 115.5-352.2 N in the SPH simulations. The concordance correlation coefficient between experimental and simulated pairs was 0.888, with a 95%CI of 0.8832-0.8926, a Pearson ρ (precision) value of 0.9396, and a bias correction factor Cb (accuracy) value of 0.945. Patterns of bone compaction were qualitatively similar; both experimental and simulated flat-tipped indenters produced dense regions of compacted material adjacent to the advancing face of the indenter, while sharp-tipped indenters deposited compacted material along their peripheries. Simulations based on SPH can produce accurate predictions of trabecular bone penetration that are useful for characterizing implant performance under high-strain loading conditions. © 2017 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 36:1114-1123, 2018.

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Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue

Cited by 63 publications

References 74 publications

An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

Nonlinear micro‐CT based FE modeling of trabecular bone—Sensitivity of apparent response to tissue constitutive law and bone volume fraction

Development and initial validation of a novel smoothed‐particle hydrodynamics‐based simulation model of trabecular bone penetration by metallic implants

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