Biomechanical Evaluation of Loading Variability and Bone Quality in Total Knee Arthroplasty: A Finite Element Sensitivity Study
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Abstract
1. Introduction
2. Materials and Methods
2.1. Geometries
2.2. Material Models and Properties
2.3. Interactions
2.4. Applied Loads and BCs
2.5. Mesh Generation
2.6. Model Configurations and Region of Interests (ROIs)
3. Results
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| A | Anterior |
| aMCL | Anterior Medial Collateral Ligament |
| AP | Anterior–Posterior |
| CR | Cruciate Retaining |
| DM | Distal Medial |
| DL | Distal Lateral |
| DOFs | Degrees of Freedom |
| FB | Fixed Bearing |
| FEA | Finite Element Analysis |
| L | Lateral |
| LCL | Lateral Collateral Ligament |
| M | Medial |
| MA | Mechanical Alignment |
| MCL | Medial Collateral Ligament |
| P | Posterior |
| PCL | Posterior Cruciate Ligament |
| pMCL | Posterior Medial Collateral Ligament |
| PM | Proximal Medial |
| PL | Proximal Lateral |
| ROIs | Regions of Interest |
| TKA | Total Knee Arthroplasty |
Appendix A

| Biomechanical Output | Coarse Mesh (200%) | Baseline Mesh | Fine Mesh (50%) | % Difference (Baseline vs. Fine) |
|---|---|---|---|---|
| Max. Average Tibia Stress (MPa) | 6.49 | 6.19 | 6.55 | 5.7% |
| Max. Average PE Insert Stress (MPa) | 2.21 | 2.40 | 2.48 | 3.3% |
| Peak Total Tibial Displacement (mm) | 1.10 | 0.83 | 0.86 | 3.6% |
| Peak Tangential Micromotion (μm) | 68 | 62 | 84 | 30.1% |
| Peak Axial Micromotion (μm) | 16 | 11 | 13 | 16.7% |
| Peak Total Micromotion (μm) | 70 | 63 | 85 | 29.7% |
| Peak PE Insert Stress (MPa) | 10.93 | 12.23 | 14.71 | 18.4% |
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| Material | Material Behavior | Young’s Modulus (MPa) | Poisson’s Ratio | Pre-Strain εr | References |
|---|---|---|---|---|---|
| Healthy cortical bone * | E1 = 11,500 | ν23 = 0.31 | |||
| Transversely isotropic | E2 = 11,500 | ν31 = 0.31 | / | [16,21,22] | |
| E3 = 17,000 | ν12 = 0.51 | ||||
| Osteoporotic cortical bone * | E1 = 7820 | ν23 = 0.31 | |||
| Transversely isotropic | E2 = 7820 | ν31 = 0.31 | / | [21,22] | |
| E3 = 11,560 | ν12 = 0.51 | ||||
| Cancellous bone | Elastic isotropic | 2130 | 0.30 | / | [16,21,22] |
| Osteoporotic cancellous bone | Elastic isotropic | 724 | 0.30 | / | [21,22] |
| CoCrMo | Elastic isotropic | 240,000 | 0.30 | / | [16] |
| Ti6Al4V | Elastic isotropic | 114,000 | 0.30 | / | [16] |
| UHMWPE | Elastic isotropic | 724.2 | 0.46 | / | [16] |
| aMCL | Elastic isotropic | 332 | 0.45 | 0.04 | [15,16,24] |
| pMCL | Elastic isotropic | 332 | 0.45 | 0.03 | [15,16,24] |
| LCL | Elastic isotropic | 345 | 0.45 | 0.05 | [15,16,24] |
| Gait Cycle (%) | Axial Force (N) | AP Force (N) | Rotational Torque (N.mm) |
|---|---|---|---|
| 0 | 0. | 0. | 0. |
| 0 | 167.6 | 0. | 0. |
| 9 | 1530.9 | −265. | −500. |
| 13 | 2600. | 109.62 | −903.3 |
| 25 | 838.2 | 50. | 1160.6 |
| 40 | 2199.9 | −99.11 | 4974.9 |
| 50 | 1867. | −167.53 | 6000. |
| 55 | 734.1 | −177. | 4500. |
| 60 | 167.6 | −62.5 | 1500. |
| 65 | 167.6 | 52. | 0. |
| 50% Load | Baseline | 200% Load | ||
|---|---|---|---|---|
| Axial 13% GC | Healthy | 0.7 | 1.2 | 2.4 |
| Osteoporotic | 0.8 | 1.4 | 2.6 | |
| AP 9% GC | Healthy | 0.8 | 0.9 | 1.6 |
| Osteoporotic | 0.9 | 0.9 | 1.7 | |
| Torque 50% GC | Healthy | 1.0 | 1.1 | 1.2 |
| Osteoporotic | 1.1 | 1.2 | 1.3 |
| Max. Tangential Micromotion (µm) | Max. Axial Micromotion (µm) | Total Absolute Micromotion (µm) | ||
|---|---|---|---|---|
| Baseline | Healthy | 19 | 3 | 19 |
| Osteoporotic | 37 | 6 | 37 | |
| Axial 50% | Healthy | 15 | 2 | 15 |
| Osteoporotic | 26 | 3 | 26 | |
| Axial 200% | Healthy | 29 | 5 | 29 |
| Osteoporotic | 62 | 11 | 63 | |
| AP Force 50% | Healthy | 19 | 3 | 19 |
| Osteoporotic | 35 | 6 | 36 | |
| AP Force 200% | Healthy | 23 | 3 | 23 |
| Osteoporotic | 44 | 8 | 45 | |
| Torque 50% | Healthy | 18 | 3 | 18 |
| Osteoporotic | 38 | 6 | 38 | |
| Torque 200% | Healthy | 23 | 3 | 23 |
| Osteoporotic | 36 | 6 | 37 |
| Average Insert Stress (Medial ROI) NSC | Average Interface Stress NSC | Total Micromotion NSC | ||
|---|---|---|---|---|
| Axial 50% | Healthy | 0.65 | 0.79 | 0.37 |
| Osteoporotic | 0.72 | 0.82 | 0.6 | |
| Axial 200% | Healthy | 0.62 | 0.91 | 0.56 |
| Osteoporotic | 0.59 | 0.89 | 0.7 | |
| AP Force 50% | Healthy | −0.19 * | 0.15 | 0 |
| Osteoporotic | −0.15 * | 0.13 | 0.07 | |
| AP Force 200% | Healthy | −0.03 * | 0.85 | 0.23 |
| Osteoporotic | −0.01 * | 0.81 | 0.2 | |
| Torque 50% | Healthy | 0.09 | 0.06 | 0.05 |
| Osteoporotic | 0.07 | 0.05 | −0.04 * | |
| Torque 200% | Healthy | 0.06 | 0.18 | 0.21 |
| Osteoporotic | 0.07 | 0.15 | 0 |
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Mulla, S.; Innocenti, B.; Sisella, M. Biomechanical Evaluation of Loading Variability and Bone Quality in Total Knee Arthroplasty: A Finite Element Sensitivity Study. Appl. Sci. 2026, 16, 6731. https://doi.org/10.3390/app16136731
Mulla S, Innocenti B, Sisella M. Biomechanical Evaluation of Loading Variability and Bone Quality in Total Knee Arthroplasty: A Finite Element Sensitivity Study. Applied Sciences. 2026; 16(13):6731. https://doi.org/10.3390/app16136731
Chicago/Turabian StyleMulla, Selma, Bernardo Innocenti, and Mattia Sisella. 2026. "Biomechanical Evaluation of Loading Variability and Bone Quality in Total Knee Arthroplasty: A Finite Element Sensitivity Study" Applied Sciences 16, no. 13: 6731. https://doi.org/10.3390/app16136731
APA StyleMulla, S., Innocenti, B., & Sisella, M. (2026). Biomechanical Evaluation of Loading Variability and Bone Quality in Total Knee Arthroplasty: A Finite Element Sensitivity Study. Applied Sciences, 16(13), 6731. https://doi.org/10.3390/app16136731
