Design and Analysis of Porous Functionally Graded Femoral Prostheses with Improved Stress Shielding
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Design Methodology of the Femur Bone
2.3. Designing of a Unit Cell and Implant
2.4. Finite Element Model and Boundary Conditions
3. Results and Discussion
3.1. Mechanical Properties of the SP Unit Cells
3.2. Investigation of the Bone and Prosthesis with Different Topologies
3.2.1. Uniform Prosthesis
3.2.2. Increasing FG Prosthesis
3.2.3. Decreasing FG Prosthesis
3.2.4. Neutral FG Prosthesis
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Material | Plane | Modulus of Elasticity (GPa) | Modulus of Rigidity (GPa) | Poisson’s Ratio |
---|---|---|---|---|
xx | 11.5 | 3.6 | 0.51 | |
Cortical bone | yy | 11.5 | 3.3 | 0.31 |
zz | 17 | 3.3 | 0.31 | |
Cancellous bone | - | 2.13 | - | 0.3 |
Unit Cell Number | R/L | Porosity (%) | Surface Area of the Reaction Force (mm2) | Stress (MPa) | Unit Cell Number | R/L | Porosity (%) | Surface Area of the Reaction Force (mm2) | Stress (MPa) |
---|---|---|---|---|---|---|---|---|---|
1 | 0.05 | 91.8 | 2.36 | 1350.5 | 13 | 0.1998 | 88.392 | 7.06 | 2401.6 |
2 | 0.0625 | 91.39 | 2.75 | 1143.9 | 14 | 0.2123 | 88.332 | 7.45 | 2134.4 |
3 | 0.0748 | 90.95 | 3.14 | 942 | 15 | 0.2248 | 88.306 | 7.85 | 1901.9 |
4 | 0.0873 | 90.535 | 3.53 | 837.79 | 16 | 0.2373 | 88.317 | 8.24 | 170.21 |
5 | 0.0998 | 90.151 | 3.92 | 719.6 | 17 | 0.2498 | 88.363 | 8.63 | 152.71 |
6 | 0.1123 | 89.803 | 4.31 | 620.3 | 18 | 0.2623 | 88.444 | 9.03 | 137.08 |
7 | 0.1248 | 89.492 | 4.71 | 534.16 | 19 | 0.2748 | 88.559 | 9.42 | 123.34 |
8 | 0.1373 | 89.217 | 5.1 | 463.15 | 20 | 0.2873 | 88.71 | 9.81 | 111.04 |
9 | 0.1498 | 88.977 | 5.49 | 401.54 | 21 | 0.3123 | 89.131 | 10.6 | 89.89 |
10 | 0.1623 | 88.775 | 5.89 | 350.98 | 22 | 0.3248 | 89.677 | 10.99 | 80.89 |
11 | 0.1748 | 88.612 | 6.2 | 311.16 | 23 | 0.3373 | 89.9 | 11.38 | 78.12 |
12 | 0.1873 | 88.482 | 6.67 | 2712.7 | 24 | 0.3498 | 90.04 | 11.77 | 65.47 |
Topology | IFGP | DFGP | NFGP | ||||||
---|---|---|---|---|---|---|---|---|---|
Range of R/L | IFGP1 | IFGP2 | IFGP3 | IFGP4 | DFGP1 | DFGP2 | DFGP3 | DFGP4 | NFGP |
Upper | 0.2748 | 0.2873 | 0.3123 | 0.3248 | 0.2748 | 0.2873 | 0.3123 | 0.3248 | 0.2748 |
Lower | 0.05 | 0.0625 | 0.0748 | 0.0873 | 0.05 | 0.0625 | 0.0748 | 0.0873 | 0.05 |
Force (N) | Direction | Acts at Point | ||
---|---|---|---|---|
x | y | z | ||
Hip contact | −378 | −229.6 | −1604.4 | P0 |
Abductor | 406 | 30.1 | 605.5 | P1 |
Tensor fascia lata, proximal part | 50.4 | 81.2 | 92.4 | P1 |
Tensor fascia lata, distal part | −3.5 | −4.9 | −133 | P1 |
Vastus lateralis | −6.3 | 129.5 | −650.3 | P2 |
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Jafari Chashmi, M.; Fathi, A.; Shirzad, M.; Jafari-Talookolaei, R.-A.; Bodaghi, M.; Rabiee, S.M. Design and Analysis of Porous Functionally Graded Femoral Prostheses with Improved Stress Shielding. Designs 2020, 4, 12. https://doi.org/10.3390/designs4020012
Jafari Chashmi M, Fathi A, Shirzad M, Jafari-Talookolaei R-A, Bodaghi M, Rabiee SM. Design and Analysis of Porous Functionally Graded Femoral Prostheses with Improved Stress Shielding. Designs. 2020; 4(2):12. https://doi.org/10.3390/designs4020012
Chicago/Turabian StyleJafari Chashmi, Morassa, Alireza Fathi, Masoud Shirzad, Ramazan-Ali Jafari-Talookolaei, Mahdi Bodaghi, and Sayed Mahmood Rabiee. 2020. "Design and Analysis of Porous Functionally Graded Femoral Prostheses with Improved Stress Shielding" Designs 4, no. 2: 12. https://doi.org/10.3390/designs4020012