Computational Investigation of a Tibial Implant Using Topology Optimization and Finite Element Analysis
Abstract
:1. Introduction
2. Topology Optimization Methodologies
2.1. Density-Based Approach
- C is the objective function and is defined as the mean correspondence;
- X is the vector of construction variables;
- F is the loading vector;
- U is the total displacement vector;
- K is the total stiffness strain;
- V is the material’s volume;
- f0 is the volumetric ratio.
2.2. Discrete/Truss-Based Approach
3. Design and Analysis Methodology
4. Results and Discussion
4.1. Original Design of the Tibial Implant
4.2. Topology Optimization of the Tibial Implant via Density-Based Approach
4.3. Topology Optimization of the Tibial Implant via Discrete/Truss-Based Approach
5. Conclusions
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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AM Category | Definition |
---|---|
Material extrusion | Extrusion of material from a heated nozzle |
Material Jetting | Jetting of materials through an inkjet print-head |
Binder Jetting | Deposition of bonding agent to material’s powder |
Sheet Lamination | Sheets of material are bonded/welded together |
Vat Photopolymerization | Selectively curing liquid photopolymer material |
Powder Bed Fusion | Selective thermal fusion of material’s powder |
Directed Energy Deposition | Melting of material that is deposited through a nozzle |
Cold Spraying | Material’s powder adheres at high-speed to the part |
Properties | Values |
---|---|
Density (kg/m3) | 8190 |
Elastic modulus (MPa) | 200,000 |
Yield strength (MPa) | 1100 |
Poisson’s ration | 0.29 |
Components | Mass (g) | Mass Reduction Percentage | Factor of Safety (FOS) | FOS Reduction Percentage |
---|---|---|---|---|
Initial tibial implant | 177.69 | - | 7.58 | - |
Density-based TO tibial implant | 133.68 | 24.8% | 4.74 | 37.5% |
Discrete-based TO tibial implant | 97.02 | 45.4% | 1.72 | 77.3% |
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Kladovasilakis, N.; Bountourelis, T.; Tsongas, K.; Tzetzis, D. Computational Investigation of a Tibial Implant Using Topology Optimization and Finite Element Analysis. Technologies 2023, 11, 58. https://doi.org/10.3390/technologies11020058
Kladovasilakis N, Bountourelis T, Tsongas K, Tzetzis D. Computational Investigation of a Tibial Implant Using Topology Optimization and Finite Element Analysis. Technologies. 2023; 11(2):58. https://doi.org/10.3390/technologies11020058
Chicago/Turabian StyleKladovasilakis, Nikolaos, Theologos Bountourelis, Konstantinos Tsongas, and Dimitrios Tzetzis. 2023. "Computational Investigation of a Tibial Implant Using Topology Optimization and Finite Element Analysis" Technologies 11, no. 2: 58. https://doi.org/10.3390/technologies11020058