Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study
Emergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A...
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| Format: | Article |
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Wiley
2017-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/6471209 |
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| author | Patrick Terriault Vladimir Brailovski |
| author_facet | Patrick Terriault Vladimir Brailovski |
| author_sort | Patrick Terriault |
| collection | DOAJ |
| description | Emergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. To determine these equivalent material properties, numerical simulations can be performed on a single unit cell of the lattice structure. However, a critical aspect to consider is the boundary conditions applied to the external faces of the unit cell. In the literature, different types of boundary conditions are used, but a comparative study is definitely lacking. In this publication, a diamond-type unit cell is studied in compression by applying different boundary conditions. If the porous structure’s boundaries are free to deform, then the periodic boundary condition is found to be the most representative, but constraint equations must be introduced in the model. If, instead, the porous structure is inserted in a rigid enclosure, it is then better to use frictionless boundary conditions. These preliminary results remain to be validated for other types of unit cells loaded beyond the yield limit of the material. |
| format | Article |
| id | doaj-art-5acbc1bb24fc49ed9ae5226f2a05e47d |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-5acbc1bb24fc49ed9ae5226f2a05e47d2025-02-03T01:11:04ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/64712096471209Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary StudyPatrick Terriault0Vladimir Brailovski1Mechanical Engineering Department, École de Technologie Supérieure, 1100 Notre-Dame Street West, Montreal, QC, H3C 1K3, CanadaMechanical Engineering Department, École de Technologie Supérieure, 1100 Notre-Dame Street West, Montreal, QC, H3C 1K3, CanadaEmergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. To determine these equivalent material properties, numerical simulations can be performed on a single unit cell of the lattice structure. However, a critical aspect to consider is the boundary conditions applied to the external faces of the unit cell. In the literature, different types of boundary conditions are used, but a comparative study is definitely lacking. In this publication, a diamond-type unit cell is studied in compression by applying different boundary conditions. If the porous structure’s boundaries are free to deform, then the periodic boundary condition is found to be the most representative, but constraint equations must be introduced in the model. If, instead, the porous structure is inserted in a rigid enclosure, it is then better to use frictionless boundary conditions. These preliminary results remain to be validated for other types of unit cells loaded beyond the yield limit of the material.http://dx.doi.org/10.1155/2017/6471209 |
| spellingShingle | Patrick Terriault Vladimir Brailovski Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study Advances in Materials Science and Engineering |
| title | Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study |
| title_full | Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study |
| title_fullStr | Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study |
| title_full_unstemmed | Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study |
| title_short | Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study |
| title_sort | influence of boundary conditions on the simulation of a diamond type lattice structure a preliminary study |
| url | http://dx.doi.org/10.1155/2017/6471209 |
| work_keys_str_mv | AT patrickterriault influenceofboundaryconditionsonthesimulationofadiamondtypelatticestructureapreliminarystudy AT vladimirbrailovski influenceofboundaryconditionsonthesimulationofadiamondtypelatticestructureapreliminarystudy |