NUMERICAL PREDICTION OF GIBSON-ASHBY CONSTANTS FOR RELATIVE MODULUS OF GYROID LATTICE STRUCTURE
Gyroid Lattice Structure (GLS) is widely used for biocompatible structures. Due to its unique elastic property, the investigation of the accuracy of the relative elastic modulus prediction is essential. In this research, comprehensive finite element modeling and analysis of GLS models were conducted...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/68604 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Gyroid Lattice Structure (GLS) is widely used for biocompatible structures. Due to its unique elastic property, the investigation of the accuracy of the relative elastic modulus prediction is essential. In this research, comprehensive finite element modeling and analysis of GLS models were conducted on various unit cell arrangement and relative density to determine the relative elastic modulus. Variations of orientations were also analyzed as the GLS tends to have higher anisotropic property in lower relative density. Voxel-based meshes were utilized to minimize the computational load without oversimplify the GLS models. GLS models with relative density (RD) of 10%, 30%, 50%, and 75% were modeled and analyzed to capture the property in wide range of relative density. Quasi-static load was subjected to the model by 1% of the lattice strain to obtain the elastic modulus of GLS models. The result shows that for different relative density, it requires different number of unit cells to achieve convergence of each elastic modulus. It is found that the minimum requirement unit cell is 7x7x7 for RD 10%, 4x4x4 for RD 30%, and steadily decreasing until RD 50% which a unit cell has presented homogeneous elastic modulus. Compared with the experiment results, the numerical model provided better accuracy to predict the elastic modulus of GLS with error less than 2% on RD 10%. As the GLS has cubic symmetry, improved Gibson-Ashby constants were developed in 3 main directions: <100>, <110>, and <111> with the constants of C1_<100> = 0.954 and n<100> = 2.245 for <100> direction, C1_<110> = 0.933 and n<110> = 2.100 for <110> direction, and C1_<111> = 0.892 and n<111> = 1.841 for <100> direction. The improved constants revealed to have better accuracy of predicting the GLS elastic modulus on RD 10% to 75% on its 3 main directions.
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