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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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complexity of the vertebrae and skull. The ANSYS 8.0 (ANSYS, Inc. Pennsylvania,<br />

USA) for the three-dimensional solid volume and mesh reconstruction using bottom-up<br />

approach.<br />

The geometry of bony structures was obtained from the dry embalmed specimens and<br />

the geometrical data of the associate soft tissues was obtained from literature [19-24] in<br />

the development of the FE modeling. The completed neck model was also configured<br />

to contain a lordosis of about 37 o , which is consistent with the neck posture of a seated<br />

50th percentile male. Figure 1 shows the final C0-T1 FE model consisting of 27,712<br />

elements and 31,749 nodes.<br />

Fig.1 FE model C0-T1 complex (lateral and posterior views)<br />

The muscle properties were represented by basic Hill-type muscle model consisting of a<br />

contractile element and a parallel elastic element to provide the active and passive<br />

muscle force, respectively. The active muscle force was calculated by the following<br />

dimensionless form as:<br />

Factive = a(<br />

t)<br />

∗ Fmax<br />

∗ fTL<br />

( L)<br />

∗ fTV<br />

( V )<br />

where a ( t)<br />

, fTL ( L)<br />

and ( V )<br />

f TV are the functions describing the muscle active level-<br />

time, tension-length and tension-velocity relationships, respectively, from previous<br />

studies on muscle active state modeling [25,26] and shown in Figure 2. F max is the<br />

muscle peak isometric force and was calculated by the initial muscle cross section area<br />

and a peak muscle stress of 50 Ncm -2 [25]. The passive muscle force F passive was<br />

determined directly from the current length of the muscle using an exponential<br />

relationship [26].<br />

To investigate the responses of the head-neck complex during motor vehicle collision at<br />

different impact directions, the acceleration onset vectors (direction) experienced at T1<br />

were assumed to be in the same as impact collision directions. The oblique side impact<br />

directions for front-side and rear-side impacts were set at –45 o and –135 o respectively.<br />

For each simulation, horizontal acceleration of a half-sine-wave pulse with peak value<br />

of 5G and duration of 100ms, which was adapted by Panjabi et al. [27] was applied on<br />

the inferior surface of T1 vertebral body. In the whole process, the T1 inferior surface<br />

was constrained to move only in the same direction as the impact direction in a<br />

transverse plane. The global head neck (C0-C7), spinal motion segments intervertebral<br />

rotations, and peak strain in various ligaments under these conditions were further<br />

investigated for possible injury analysis.

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