Finite Element Analysis (FEA) of the Stresses and Strains Occurring in Zirconia Crowns and Tooth Abutments Prepared With or Without a Shoulder Finish Line
Abstract
1. Introduction
2. Materials and Methods
3. Results
4. Discussion
5. Conclusions
- •
- Zirconia crowns were subjected to greater stress than the tooth abutments, regardless of the type of preparation. Thus, out of 25 simulations performed for each of model A and model B regarding the stresses and strains developed, in 16 simulations both the minimum and maximum loads appeared at the crowns, in 8 cases the minimum loads appeared at the abutments and the maximum loads at the crowns, and only in a single case, that of the minimum principal elastic strain, the maximum value appeared on the abutments and the minimum on the prosthetic restorations.
- •
- According to the simulations carried out, the preparation with a shoulder finish line (A) demonstrated better biomechanical behavior. Thus, out of 25 mechanical tests performed for each model A and model B regarding the stresses and strains developed, in two cases the recorded values were very close, in 4 cases the recorded values were higher for model A, and in 19 cases the recorded values were higher for model B.
- •
- In clinical practice, it is advised that when sufficient coronal structure and periodontal conditions permit supra- or equigingival margins, a shoulder finish line may more effectively mitigate mechanical stress. Conversely, vertical edgeless margins are considered appropriate in scenarios where tissue preservation or compromised support is a primary concern. This approach, however, necessitates precise management of cervical contouring and occlusal load.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| FEA | Finite Element Analysis |
| FEM | Finite Element Method |
| 3D | Three-Dimensional |
| CAD/CAM | Computer-Aided Design/Computer-Aided Manufacturing |
| CT | Computed Tomography |
| STL | Standard Tessellation Language (or Standard Triangle Language) |
| OT | Overdenture Telescopic (in OT Bridge System) |
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| Element Types | Quadratic Tetrahedron Semi Parabolic | ||
|---|---|---|---|
| Elements | Nodes | ||
| With shoulder | Tooth | 1678 | 3142 |
| Crown | 1697 | 3323 | |
| Without shoulder | Tooth | 1161 | 2249 |
| Crown | 7780 | 14,501 | |
| Material | Young’s Modulus (MPa) | Poisson’s Ratio (−) |
|---|---|---|
| Dentin | 18,000 | 0.30 |
| Zirconia | 190,000 | 0.33 |
| Characteristic | Total Deformation | Deformation X Axis | Deformation Y Axis | Deformation Z Axis |
|---|---|---|---|---|
| Model A—premolar prepared with shoulder finish line | ||||
| Minimum | 0 mm | −6.95 × 10−5 mm | −5.26 × 10−4 mm | −1.11 × 10−3 mm |
| Maximum | 1.17 × 10−3 mm | 4.07 × 10−4 mm | 5.76 × 10−5 mm | 2.91 × 10−5 mm |
| Model B—premolar prepared with shoulder finish line | ||||
| Minimum | 0 mm | −1.51 × 10−3 mm | −5.51 × 10−4 mm | −1.91 × 10−3 mm |
| Maximum | 3.3 × 10−3 mm | 4.31 × 10−4 mm | 2.87 × 10−3 mm | 5.45 × 10−4 mm |
| Characteristic | Normal Stress X | Normal Stress Y | Normal Stress Z | Maximum Principal Stress | Minimum Principal Stress |
|---|---|---|---|---|---|
| Model A—premolar prepared with shoulder finish line | |||||
| Minimum | −74.6 MPa | −98.6 MPa | −243 MPa | −63.3 MPa | −248 MPa |
| Maximum | 67.2 MPa | 66.6 MPa | 115 MPa | 121 MPa | 49.5 MPa |
| Model B—premolar prepared without shoulder finish line | |||||
| Minimum | −134 MPa | −161 MPa | −177 MPa | −76.7 MPa | −314 MPa |
| Maximum | 102 MPa | 76.4 MPa | 273 MPa | 320 MPa | 15.4 MPa |
| Characteristics | Elastic Strain Intensity | Minimum Principal Elastic Strain | Normal Elastic Strain X | Normal Elastic Strain Y | Normal Elastic Strain Z | Shear Elastic Strain XY | Shear Elastic Strain YZ | Shear Elastic Strain XZ |
|---|---|---|---|---|---|---|---|---|
| Model A—premolar prepared with shoulder finish line | ||||||||
| Minimum | 6.09 × 10−12 mm/mm | −1.67 × 10−3 mm/mm | −1.65 × 10−4 mm/mm | −2.97 × 10−4 mm/mm | −1.42 × 10−3 mm/mm | −4.85 × 10−42 mm/mm | −2.14 × 10−3 mm/mm | −8.59 × 10−4 mm/mm |
| Maximum | 2.56 × 10−3 mm/mm | −1.38 × 10−7 mm/mm | 3.15 × 10−4 mm/mm | 3.11 × 10−4 mm/mm | 4.65 × 10−4 mm/mm | 5.16 × 10−4 mm/mm | 6.73 × 10−3 mm/mm | 1.35 × 10−3 mm/mm |
| Model B—premolar prepared without shoulder finish line | ||||||||
| Minimum | 1.49 × 10−11 mm/mm | −1.37 × 10−3 mm/mm | −7.06 × 10−4 mm/mm | −6.24 × 10−4 mm/mm | −7.54 × 10−4 mm/mm | −5.3 × 10−4 mm/mm | −1.76 × 10−3 mm/mm | −7.88 × 10−4 mm/mm |
| Maximum | 2.37 × 10−3 mm/mm | −2.74 × 10−12 mm/mm | 4.49 × 10−4 mm/mm | 3.98 × 10−4 mm/mm | 1.29 × 10−3 mm/mm | 7.2 × 10−4 mm/mm | 1.24 × 10−3 mm/mm | 1.21 × 10−3 mm/mm |
| Characteristics | Maximum Shear Stress | Equivalent Stress |
|---|---|---|
| Model A—premolar prepared with shoulder finish line | ||
| Minimum | 4.21 × 10−8 MPa | 7.6 × 10−8 MPa |
| Maximum | 101 MPa | 182 MPa |
| Model B—premolar prepared without shoulder finish line | ||
| Minimum | 1.43 × 10−7 MPa | 2.65 × 10−7 MPa |
| Maximum | 187 MPa | 346 MPa |
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Drăghici, L.A.; Comăneanu, R.M.; Chirsanov-Capanu, Ș.E.; Constantinovici, A.; Pangică, A.M.; Chivu, M.V.; Ciobanu, M.R.; Târcolea, M.; Mihai, L.L. Finite Element Analysis (FEA) of the Stresses and Strains Occurring in Zirconia Crowns and Tooth Abutments Prepared With or Without a Shoulder Finish Line. Coatings 2026, 16, 482. https://doi.org/10.3390/coatings16040482
Drăghici LA, Comăneanu RM, Chirsanov-Capanu ȘE, Constantinovici A, Pangică AM, Chivu MV, Ciobanu MR, Târcolea M, Mihai LL. Finite Element Analysis (FEA) of the Stresses and Strains Occurring in Zirconia Crowns and Tooth Abutments Prepared With or Without a Shoulder Finish Line. Coatings. 2026; 16(4):482. https://doi.org/10.3390/coatings16040482
Chicago/Turabian StyleDrăghici, Lucia Alexandra, Raluca Monica Comăneanu, Ștefan Eugen Chirsanov-Capanu, Andrei Constantinovici, Anna Maria Pangică, Manuela Victoria Chivu, Mariana Roxana Ciobanu, Mihail Târcolea, and Laurența Lelia Mihai. 2026. "Finite Element Analysis (FEA) of the Stresses and Strains Occurring in Zirconia Crowns and Tooth Abutments Prepared With or Without a Shoulder Finish Line" Coatings 16, no. 4: 482. https://doi.org/10.3390/coatings16040482
APA StyleDrăghici, L. A., Comăneanu, R. M., Chirsanov-Capanu, Ș. E., Constantinovici, A., Pangică, A. M., Chivu, M. V., Ciobanu, M. R., Târcolea, M., & Mihai, L. L. (2026). Finite Element Analysis (FEA) of the Stresses and Strains Occurring in Zirconia Crowns and Tooth Abutments Prepared With or Without a Shoulder Finish Line. Coatings, 16(4), 482. https://doi.org/10.3390/coatings16040482
