The finite element model developed for this study was based on a previously validated and published knee finite element model 10–12 which includes the following features. This method is adopted as it allows to perform precise biomechanical analysis 13, providing the possibility to identify the effects of the different configurations on the same bone geometries (comparison that cannot be investigated in vivo nor in cadaveric bones) 11,12,14−18.
Geometry
For the femoral bone, in agreement with previous biomechanical numerical and experimental studies 11,12,14−17, a physiological three-dimensional femur was generated from computer tomography images of an artificial right femoral sawbone, size medium (3rd generation, Sawbones Europe AB, Limhamn, Sweden). Such femoral bone model includes cortical and cancellous bone.
For the implant devices, the following geometries, as CAD files, were received by the industrial manufacturer (WALDEMAR LINK GmbH & Co. KG, Hamburg, Germany):
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Endo-Model Rotating Hinge, right, medium size;
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2-Zones Symmetric Flexible TrabecuLink Femoral Cone, medium size, length 45 (Fig. 1.A);
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3-Zones Asymmetric Flexible TrabecuLink Femoral Cone, right, medium size, length 45 (Fig. 1.B).
In comparison with the symmetric design of the 2-zone cone, the 3-zone cones are characterized by an additional asymmetric covering for the intercondylar box of the femoral knee arthroplasty implant to enhanced rotational stability (Fig. 1).
To properly evaluate the effect of flexibility, both cones were considered flexible (using the original geometry) and rigid. The rigidity of the cones was achieved by fixing the two metal posterior parallel flanges (see Fig. 2) to avoid any deformation of the cone. With this approach, in the analysis, both rigid and flexible cones are characterized by the same external and internal geometry, therefore the bone-cone interaction is the same, a part of the different flexibility of the two designs.
The surgical implantation of the hinged TKA was obtained by performing a femoral virtual cut according to the surgical guidelines provided by the industrial manufacturer.
Material Properties
Linear elastic models were chosen for all the materials involved in this study, in agreement with previous literature studies 10,19− 22: this assumption allows a good approximation of all the mechanical properties, in order to gain a qualitative comparison among the different configurations. Cortical bone was modeled as transversely isotropic with a stiffer resistance along the anatomical axis of the femur 12,14,23− 25. The cancellous bone was considered isotropic 5,16,22. The material of the femoral components of the hinged TKA was a Cobalt–Chromium alloy (CoCr) 14,26. The cones were produced, using additive manufacturing, in titanium alloy Ti–6Al–4V (Tilastan®) with different porosity in the region in contact with the bone (TrabecuLink®, see Fig. 1). The material properties for the cones were provided by the manufacturer. The material adopted for the cement (poly-methyl methacrylate, PMMA) was homogeneous and isotropic 12,14,19. A full overview of the material models and properties used in the study is reported in Table 1.
Surgical Impaction: Configurations, Boundary conditions and Output
For this first part of the study, the following four different configurations were investigated:
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2-zone Flexible cone;
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2-zone Rigid cone;
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3-zone Flexible cone;
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3-zone Rigid one.
To simulate the surgical impaction, according to the surgical technique, a vertical compressive force of 2600 N was applied on the distal surface of the femoral cone, along the anatomical axis of the femur. The value of such force was experimentally evaluated in a preliminary study reproducing a real surgical impact test 6. For this analysis, in all the configurations considered, the proximal femur was considered fixed.
As the aim of this part of the study was to investigate the potential benefit in terms of bone safety induced by flexible cone, the magnitude, average, and distribution of the Von Mises stress in the bone during the impact were considered as the main output.
Daily Activities: Configurations, Boundary conditions and Output
In this phase, the hinged TKA and the 2-zone femoral Cone design were virtually implanted in the same bone used for the previous phase according to the surgical guidelines provided by the industrial manufacturer. In details, after the implantation of the femoral cone, press-fit with the bone, bone cement is applied to fill the cavity between the internal side of the cone and the prosthesis. However, the hinged implant itself, could be implanted with cemented and press-fit stems.
Therefore, the following four configurations were investigated:
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2-zone Flexible Cone with Hinged TKA coupled with press-fit stem;
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2-zone Rigid Cone with Hinged TKA coupled with press-fit stem;
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2-zone Flexible Cone with Hinged TKA coupled with cemented stem;
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2-zone Rigid Cone with Hinged TKA coupled with cemented stem.
For all the analysis a stem length of 120 mm was used for the model, as previous study 14 have demonstrated such length to be a compromised in terms of improving implant fixation and reducing femoral stress shielding in the bone; following the surgical technique and in agreement with previous study on proper femoral cementation 27 a PMMA shell of 2mm thickness was used to fix the femoral component to the bone. For this study only the cone design 2-zones was used as it was considered the worst case scenario.
In agreement with previous study 8,14, for the walking and chair rise daily activities, considered respectively at 0° and 90° of flexion, the maximum loads achieved were applied on the distal tibial component, along tibial axis. For this configuration the proximal femur was considered fixed.
In details, a force of 2100N, was considered for the walking motion, with a tibio-femoral flexion angle of 0°, while a force of 2600N, was considered for the chair raising, with a tibio-femoral flexion angle of 90°.
As the aim of this part of the study was to investigate the potential benefit in terms of implant stability and performance of flexible cone, the magnitude, average and distribution of the Von Mises stress in the bone, together with the implant micromotions, during the different motor tasks were considered as main output.
FE Analysis
In agreement with previous studies 8,12,14,28, each finite element model analyzed in this study was developed and meshed by using tetragonal elements with an approximate element size of 2 mm. A refinement of the mesh, with an approximate element size of 0.5 mm, was performed in the contact region between bone and cone (for the analysis of surgical implantation) and between bone, cone, PMMA and TKA, for the analysis of daily activities. The proper size of the elements was chosen after a convergence test performed to verify that the mesh size adopted did not affect the requested outputs. Abaqus/Explicit version 2019 (Dassault Systèmes, Vélizy-Villacoublay, France) was used to develop the models and to perform the analyses of the impact test. Abaqus/Standard version 2019 (Dassault Systèmes, Vélizy-Villacoublay, France) was used to develop the models and to perform the analyses of the daily activities.