Remedy for fictive negative pressures in biphasic finite element models of the intervertebral disc during unloading

Hendrik Schmidt, Fabio Galbusera, Hans-Joachim Wilke and Aboulfazl Shirazi-Adl

Computer Methods in Biomechanics and Biomedical Engineering, 2011, vol. 14, issue 03, 293-303

Abstract: Previous biphasic finite element studies investigated the temporal response of a spinal segment under rather simplified loading conditions with no attention to unloading and recovery phases. Employment of existing constitutive relations in porous media yields rather large suction-type pore pressures in the disc as the load suddenly disappears. Such negative pressures are absent in vivo and are hence fictive. The aim of this study was to search for remedies to avoid the computation of negative pressures upon unloading. Partial saturation for the disc or a rest load (RL) higher than 400 N totally eliminated the negative pressures. Decreasing the voids ratio (VR) also led to a reduced negative pressure. When defining a partial saturated disc or using a lower VR in combination with a boundary pressure of 0.25 MPa and a RL of 350 N, no negative pressure was calculated. It appears that the constraint of full saturation and a high mobile fluid fraction of the disc tissues along with inadequate tissue properties are the likely causes of negative pressures during unloading.

Date: 2011
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DOI: 10.1080/10255842.2010.481287

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