Abstract
Introduction
Fretting corrosion of the modular taper junction in total hip arthroplasty has been studied in several finite element (FE) investigations. In FE analyses, different parameters can be varied to study micromotions and contact pressures at the taper interface. However, to truly study taper wear, the simulation of micromotions and contact pressures in non-adaptive FE models is insufficient, as over time these can change due to interfacial changes caused by the wear process.
In this study we developed an FE approach in which material removal during the wear process was simulated by adaptations to the taper geometry. The removal of material was validated against experiments simulating the clinical fretting wear process.
Method
Experimental test: An accelerated fretting screening test was developed that consistently reproduced fretting wear features observed in retrievals. Biomet Type-1 (4°) tapers and +9 mm offset adaptors were assembled with a 4 kN force (N=3). A custom head fixture was used to create an increased offset and torque. The stems were potted in accordance with ISO 7206–6:2013. The set-up was submerged in a 37°C PBS solution with a pH adjusted to 3 using HCL and NaCl concentration of 90gl−1. The components were cyclically loaded between 0.4 – 4 kN for 10 million cycles. After completion, the volumetric and linear wear was measured using a Talyrond-585 roundness measurement machine.
FE model: This was created to match the experimental set up (Figure 1). Taper geometry and experimental material data were obtained from the manufacturer (Zimmer Biomet). The coefficient of friction of the studied combination of components was based on previous experiments (Bitter, 2016). After each change in load the geometry was updated by moving nodes inwards perpendicular to the taper surface. Archard's Law (Archard, 1953) was used to calculate the wear with the following equation: H=k*p*S. Where H is the linear wear depth in mm, k is a wear factor (mm³/Nmm), p is the contact pressure (MPa) and S is the sliding distance (mm). The 10 million experimental cycles were simulated using a range of 5 to 200 computational cycles. For this purpose, the wear factor (k) was scaled for each simulation to match the volumetric wear found in the experiments.
Results
The accelerated fretting experiments resulted in an average volumetric wear of 0.79 mm³ after 10 million cycles. A thumbprint shaped wear patch was observed on the inferior-distal and superior-proximal side of the taper (Figure 2).
Optimal results were found using 100 simulated cycles, and a wear factor of 1.25*10−6 (mm3/N*mm), balancing accurate results with computational time. The maximum wear depth found in the experiments was found to be 15 µm whereas the simulations predicted a maximum linear wear of 9.5 µm(Figure 3).
Discussion and Conclusion
In this study we have shown that we can accurately model wear at the taper junction. The model was validated with experiments using the measured volumetric and linear wear. With this model we will look at the effect of several patient, implant, and surgical parameters on the volumetric wear.
