Submitted:
01 July 2026
Posted:
02 July 2026
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. BKS Screw Surface Treatment
2.2. BKS Screw Surface Characterisation
2.3. Finite Elements Calculations
3. Results
3.1. Surface Treatment of the Biomechanical Implants(BKS)
- PEO treatment: Pores ranged from 5 to 15 µm, with an average diameter of 9.2 ± 3.1 µm. The measured porosity was 22.4 ± 3.2%. The surface exhibited a homogeneous distribution of macro- and micropores, suggesting improved conditions for osteoblast ingrowth and vascularization.
- Hard anodization (HA): Produced smaller pores of 0.5 to 2.0 µm, with an average diameter of 1.1 ± 0.4 µm and lower porosity (10.7 ± 2.6%). The distribution was less uniform, with visible grain boundaries.
- Soft anodization (TNT formation): Nanotubes were formed with diameters ranging from 60 to 100 nm, average 80 ± 12 nm. However, nanotube distribution was heterogeneous within deep screw grooves, likely due to electrolyte accessibility limitations.
3.2. Mechanical and Structural Results from the Finite Element Analysis Model
- Displacement: Maximum displacement was 1571.7 nm at the free end, while minimum displacement was 0.0058 nm at the fixed end (Figure 6).
- Rotation: The total angular rotation increased progressively, reaching a maximum of 54.37 rad (Figure 7).
- Stress distribution: The maximum von Mises stress reached 1.5 × 10⁻⁸ N/nm², concentrated at the torque application site (Figure 8).
- Strain: Equivalent strain values ranged from 0.027 to 3.563, with higher deformation localized at the nanotube edges (Figure 9).
| Parameter | FEM TiO₂ Nanotube (this study) | Cortical Bone (literature) | Trabecular Bone (literature) | Notes / Biological Implication |
| Maximum displacement | 1571.7 nm (1.57 µm) | — | — | Within nanoscale tolerance; does not compromise macro-implant geometry. |
| Maximum rotation | 54.37 rad | — | — | High elastic rotation, no fracture observed. |
| Maximum von Mises stress | 1.5 × 10⁻⁸ N/nm² ≈ 15 MPa | 20–193 MPa | 2–80 MPa | Stresses remain below both cortical and trabecular fracture thresholds. |
| Maximum equivalent strain | 3.563 | 0.5–2.0 (yield range) | 1.0–3.0 (yield range) | Strain values compatible with trabecular deformation; mimic physiological conditions. |
| Porosity (%) | 22.4 ± 3.2 (PEO) | 5–15 | 50–90 | BKS porosity closer to trabecular bone; favors osteoblast infiltration. |
| Nanotube diameter | 80 ± 12 nm | — | — | Within optimal range (70–100 nm) for osteoblast adhesion and differentiation. |
4. Discussion
5. Conclusions
Acknowledgments
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| CP-Ti | Pure titanium |
| BKS | Bioactive Kinetic Screw |
| PEO | Plasma Electrolytic Oxidation |
| SEM | Scanning Electron Microscope |
| FEG | Field Emission Gun |
| PEP | Plasma Electrolytic Polishing |
| AM | Additive Manufacturing |
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| Specimen | Screw type | Anodisation regime | Electrolyte composition | Electrolyte temperature | Applied Current/Voltage |
| Screw 1 | Machined | Hard anodisation (HA) | 0.1 Mol L-1 H2C2O4 | 15 °C | 10 mA cm-2 |
| Screw 2 | Plasma electrolytic oxidation (PEO) | 0.5 Mol L-1 H3PO4 | |||
| Screw 3 | 3D-printed | ||||
| Screw 4 | Soft anodisation (TiO2NTs) | 0.222 mol L-1 NH4F in Etileneglycol (10% H2O) | 50 °C | 20 V |
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