Abstract
Introduction
The fixation of press-fit orthopaedic devices depends on the mechanical properties of the bone that is in contact with the implants. During the press-fit implantation, bone is compacted and permanently deformed, finally resulting in the mechanical interlock between implant and bone. For the development and design of new devices, it is imperative to understand these non-linear interactions. One way to investigate primary fixation is by using computational models based on Finite Element (FE) analysis. However, for a successful simulation, a proper material model is necessary that accurately captures the non-linear response of the bone. In the current study, we combined experimental testing with FE modeling to establish a Crushable Foam model (CFM) to represent the non-linear bone biomechanics that influences implant fixation.
Methods
Mechanical testing of human tibial trabecular bone was done under uniaxial and confined compression configurations. We examined 62 human trabecular bone samples taken from 8 different cadaveric tibiae to obtain all the required parameters defining the CFM, dependent on local bone mineral density (BMD). The derived constitutive rule was subsequently applied using an in-house subroutine to the FE models of the bone specimens, to compare the model predictions against the experimental results.
Results
The crushable foam model provided an accurate simulation of the experimental compression test, and was able to replicate the ultimate compression strength measured in the experiments [Figure 1]. The CFM was able to simulate the post-failure behavior that was observed in the experimental specimens up to strain levels of 50% [Figure 2]. Also, the distribution of yield strains and permanent displacement was qualitatively very similar to the experimental deformation of the bone specimens [Figure 3].
Conclusion
The crushable foam model developed in the current study was able to accurately replicate the mechanical behavior of the human trabecular bone under compression loading beyond the yield point. This advanced bone model enables realistic simulations of the primary fixation of orthopaedic devices, allowing for the analysis of the influence of interference fit and frictional properties on implant stability. In addition, the model is suitable for failure analysis of reconstructions, such as the tibial collapse of total knee arthroplasty.
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