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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

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A sensitivity study was carried out by subjecting the stationary head model to a range of<br />

10 impacts, with the initial velocity of the impactor varying incrementally from 0.2 to<br />

3.8 m/s. The analytical model derived in [5] were used to predict the peak impact force<br />

of each case, and the mass of the impactor was changed as needed such that the peak<br />

impact force remained constant across all impact cases. The impacts were performed<br />

using LS-DYNA explicit finite-element code (LSTC Inc.). This resulted in a range of<br />

impacts of differing durations (measuring from 0.34 ms to 3.32 ms) with approximately<br />

equal peak force. The simulations showed good agreement with predictions made using<br />

the analytical model. The results of the simulations were non-dimensionalised. This<br />

reduces the influence of any small variations of peak impact force in the simulations<br />

about the predicted constant value, and also allows any qualitative changes in pressure<br />

response to be analyzed and displayed more clearly. This was done by normalizing<br />

recorded peak intracranial pressures over peak pressures predicted using Equation 1<br />

(above), i.e. the pressures one would expect from a quasi-static response, so resulting in<br />

a measure of the pressure “magnification”. Also impact durations were normalized over<br />

the period of the first equivoluminal mode of vibration.<br />

5. SKULL AND BRAIN: STAGE 2<br />

The second model utilized the same material properties and impactor as the fluid-filled<br />

sphere model, but had modified geometry. The spherical shell was replaced with<br />

realistic skull geometry generated from in vivo MRI scan data of a human male<br />

generated using image-based meshing techniques. As previously, the cranial cavity was<br />

filled with a fluid model representing the brain; the fluid must be enclosed, so a<br />

deformable thin soft membrane was artificially included over the foramen magnum so<br />

that any pressure releasing effects of this feature remain intact. A sensitivity study was<br />

carried out in the same manner as Stage 1: 12 impacts of approximately equal peak<br />

force were simulated with impact durations measuring from 0.17 ms to 3.28 ms. 5<br />

additional high energy impacts were performed, to study the influence of any geometric<br />

non-linearities resulting from significantly increased impact forces.<br />

6. REALISTIC MODEL: STAGE 3<br />

The final model is a complex high bio-fidelity model of the whole head and neck,<br />

derived from the same MRI scan data as used in Stage 2. Semi-automated image based<br />

meshing techniques from the ScanIP commercial software (Simpleware Ltd.) were<br />

employed to segment and mesh the skull, vertebrae, intervertebral discs, cerebrum,<br />

cerebellum, brain stem and spinal cord, cerebrospinal fluid (CSF), scalp and<br />

surrounding flesh. Representative linear material properties were applied to these<br />

structures. Structures deemed of particular importance to the impact response were<br />

assigned more complex material models: nervous tissue was represented by a<br />

viscoelastic model, the CSF was an elastic fluid, and the scalp beneath the impact point<br />

is assigned non-linear elastic properties based on in vitro tests by Gadd et al. [7]<br />

This Stage 3 model was validated against cadaveric experimental data by simulating<br />

impact case 37 from Nahum et al.’s 1977 physical tests, which is used widely in the<br />

literature to verify the accuracy of head models. The results showed good agreement:<br />

the Stage 3 model was able to predict well the intracranial pressures observed by<br />

Nahum et al. in [8].<br />

The size and complexity of this finite-element model requires greater computational<br />

resources per simulation. Instead of a full sensitivity study as previous, 3 impacts

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