A modified Coulomb's law for the tangential debonding of osseointegrated implants

Autor: Immel, Katharina, Duong, Thang X., Nguyen, Vu-Hieu, Haiat, Guillaume, Sauer, Roger A.
Rok vydání: 2019
Předmět:
Zdroj: Biomechanics and Modeling in Mechanobiology (2020): 1-18
Druh dokumentu: Working Paper
DOI: 10.1007/s10237-019-01272-9
Popis: Cementless implants are widely used in orthopedic and oral surgery. However, debonding-related failure still occurs at the bone-implant interface. It remains difficult to predict such implant failure since the underlying osseointegration phenomena are still poorly understood. Especially in terms of friction and adhesion at the macro-scale, there is a lack of data and reliable models. The aim of this work is to present a new friction formulation that can model the tangential contact behavior between osseointegrated implants and bone tissue, with focus on debonding. The classical Coulomb's law is combined with a state variable friction law to model a displacement-dependent friction coefficient. A smooth state function, based on the sliding distance, is used to model implant debonding. The formulation is implemented in a 3D nonlinear finite element framework, and it is calibrated with experimental data and compared to an analytical model for mode III cleavage of a coin-shaped, titanium implant (Mathieu et al. 2012). Overall, the results show close agreement with the experimental data, especially the peak and the softening part of the torque curve with a relative error of less than 2.25 %. In addition, better estimates of the bone's shear modulus and the adhesion energy are obtained. The proposed model is particularly suitable to account for partial osseointegration, as is also shown.
Databáze: arXiv