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NUI Galway – UL Alliance First Annual ENGINEERING AND - ARAN ...

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Cortical Bone Failure Mechanisms during Screw Pullout<br />

E.M. Feerick, J.P. McGarry<br />

Department of Mechanical and Biomedical Engineering, <strong>NUI</strong> <strong>Galway</strong><br />

e.feerick1@nuigalway.ie<br />

Abstract<br />

Many orthopedic devices use screws as their primary<br />

mode of fixation. Screw pullout at the screw-cortical<br />

bone interface is a common mode of failure for such<br />

devices [1] . In this study, a computational model is<br />

developed to investigate the failure mechanisms of<br />

cortical bone which lead to screw pullout. Simulations<br />

are compared to experimental results in order to<br />

validate predicted failure mechanisms and failure loads<br />

during screw pullout.<br />

1. Introduction<br />

The objective of this study is to develop a complete<br />

understanding of the mechanisms of failure that occur<br />

between orthopaedic screws and the surrounding<br />

cortical bone.<br />

2. Materials & Methods<br />

Experimental monotonic tensile pullout tests were<br />

conducted using commercially available orthopaedic<br />

screws anchored in bovine cortical bone. Rectangular<br />

mid-diaphyseal sections were extracted from the<br />

metacarpus. A novel test rig was built to facilitate the<br />

monitoring of failure modes in real time.<br />

A 2D axisymmetric model was created based on the<br />

geometry of 3.5mm cortical bone screws. The Drucker-<br />

Prager constitutive formulation was used to model postyield<br />

material behaviour of bovine cortical bone [2] .<br />

Damage initiation and evolution based on effective<br />

plastic strain was incorporated into the material<br />

behavior. Crack propagation was simulated using an<br />

element removal technique for fully damaged elements.<br />

Predicted patterns of crack propagation during pullout<br />

were compared to experimental tests that recorded the<br />

failure mode of screw pullout in real time.<br />

3. Results<br />

The experimental failure load recorded was 2.5 ±<br />

0.3kN. The experimentally observed failure mode for a<br />

section of bovine cortical bone with osteons vertically<br />

aligned is shown in Fig. 1(A-C). Cracks propagate<br />

upwards from the tips of the screw threads. The<br />

separated material remains between the screw threads<br />

and is subsequently removed as the test progresses. The<br />

final fracture surface following screw removal is shown<br />

in Fig. 1(C).<br />

Our computed failure mechanism leading to screw<br />

pullout is illustrated in Fig. 1(D-E). Following initial<br />

screw movement localised plastic deformation is<br />

computed at the screw tips, leading to plastic zones that<br />

54<br />

initially extend vertically upwards and then propagate at<br />

45 o (Fig. 1(D)). The highest concentration of plastic<br />

strain at the screw tips leads to a crack initiation. As the<br />

crack propagates vertically upwards a vertical plastic<br />

zone develops ahead of the crack tip. Further crack<br />

propagation leads to full separation of the bone between<br />

the screw threads (Fig. 1(E)) leading to complete<br />

pullout and exposure of the fractured surface. A<br />

maximum screw pullout force of 2.46 kN is computed<br />

during the pullout simulation.<br />

Max<br />

(A) (B) (C)<br />

(D) (E)<br />

Figure 1 (A-C) Experimentally recorded failure mode<br />

progression; (D-E) Computational equivalent plastic<br />

strain for two time points<br />

4. Discussion<br />

The live imaging technique developed in this study<br />

provides novel insight into failure mechanisms during<br />

screw pullout. While earlier studies have reported a<br />

[3]<br />

similar final fracture surface , the evolution of<br />

material failure during screw pullout has not been<br />

previously uncovered. The process of element deletion<br />

to replicate crack propagation is a predictive method<br />

and does not predefine the crack pathway. Predicted<br />

crack evolution correlates closely with experimental<br />

observation. Future work will involve developing a<br />

cohesive zone formulation to incorporate screw pullout<br />

in macro scale 3D models of PHF repair to replicate<br />

clinical failure modes.<br />

5. References<br />

[1] Owsley et al., JBJS 90:233-240, 2008. [2] Mercer et al.,<br />

Acta Mater 2:59-68, 2006. [3] Chapman et al., J Biomech<br />

Eng 118:391-398, 1996.<br />

6. Acknowledgements<br />

IRCSET, ICHEC.

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