I know only that stress corrosion/fatigue is impacted by failed/abraded oxidation layer on Ti in a result of bone/implant tribology. If influence of debris was not studied yet you have some work with tribometer... I think that I can try also to do it and compare ;-)
Excluding the micro and macro structure of the implants , some concern regarding the bone-to-implant friction coefficient involves the trabecular fractures and the bone elastic modulus. Both are strictly related to stiffness of the bone that is dependent to the amount of mineral density and partially related to the bone collagen fibres orientation.
As consequence, no data exist to ensure a strong mean value for friction coefficient between bones and implant surface.
Nonetheless, significant correlation has been reported by K. Okuyama et al. (Spine 2000; 25(7):858–864) between bone mass and the insertion torque of the implants as well as between bone mass and pull-out strength. [T. C. Ryken, et al. (J Neurosurg, 1995; 83(2):325–329)--J. R. Chapman et al. (J Biomech Eng 1996; 118(3):391–398) ---C. A. Reitman, et al. (J Spinal Disord Tech, 2004; 17(4):306–311)] . However, the exact contribution of bone mass remained unclear as well as the role played by many additional parameters, such as insertion torque and implant screw design parameters.
The insertion techniques, especially for the case of undersize implant bed preparation, are intended to achieve compaction or "radial preload" of the peri-implant bone. Implants with radial preload presents a limited portion of the trabecular microstructure crushed [M. Windolf et al. Clin Biomech, 2009; 24(1):53– 58] as well as a limited portion of the trabecular bone microstructure permanently deformed elastically/plastically[S. Kold et al. Acta Orthop Scand, 2003; 74(5):591–595].
The elastic “spring-back effect” enhances the early implant fixation through frictional forces. During the onset of osseointegration, the spring-back effect is gradually lost thanks to the bone remodelling process [J. R. Green, et al. J Arthroplasty, 1999;14(1):91–97].
what is the importance of this friction if any. if implants has no bone on their apexes this may be a concern; probably in case of sinus lift. but even if so it cannot be important for preventing the implant to go through and fall in the sinus. if we accept the phenomenon like osseointegration, this is not be a matter to have the friction or not. the friction exactly depends on the magnitude of force and the material structure and in most cases is about 0.25 to 0.3 for many materials that not bind each other. whatever, these may help you