The simulation of long-term creep response behavior, observed on 54 Rhesus monkey intervertebral joints subjected to a constant axial compressive stress, is attempted by two- and three-parameter-solid models utilizing the Burns- Kaleps 'exact analysis scheme'. Model parameters identified by the analysis of each specimen's experimental strain data were optimized via a computer program and the mechanical properties (Young's moduli and the viscosity coefficient) appropriate to each model were calculated for individual spinal segments. Simulation results for the two-parameter-solid (one- Kelvin -unit) model demonstrate its general ineptness in predicting the observed strain-time behavior of normal spinal sements . The three-parameter-solid model yielded excellent results in the simulation of observed spinal segment compressive creep phenomena. It produced an average error between the model predicted and experimental strain values that ranged from a low of 0.4000% to a high of 3.290% for the 54 Rhesus monkey intervertebral joints, with a collective average error for all specimens of only 1.363%.
The analytical modolling of cr eep re sponse phenomena of intervertebral discs subjected to a constan t axial compre ssive load is atte mpted ~y using Kolvin-solid models. A mathe matic al analy sis scheme is propo sed for unique model idsntUj catto n wherein exact para meter solution s are deve loped for the one-Kelvin -unit model , the t hree-parameter-so lid model , and the two-Kelvin-unit model. In additio n , a metho d is presented by which the associated Young 's moduli and viecosity coefficient s for an identified model are obtainab ' -. Moot importantly, uniqu e para meter value s are obtained for the three-parameter-so lid by utilising exact model parameter solution s on exper imental strain , E ( t ) , da ta . This particular model is observed to yield theor etical strain , E (t) caii values tha t are wit hin an average error of 3.48% of the exper imentally measured values, E ( t )~x p~ for different intervertebral discs.Further, mechanical properties of the inte rv ertebral discs are obtained by u sing the values of the three-p arameter-solid model parameters to calculat e the associated Young ' s moduli and viscosity coefficient. The appropriate applications, data limitations, and possible gcner a.lizat ions of thi s exact analysis scheme are fully discussed, along with sugge stions for future investigatory effo rts ,~~~~~~~~~~ --
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