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Effect of boundary conditions on the simulation of rhombic lattice structure: a preliminary study

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Document pages: 8 pages

Abstract: Emerging additive manufacturing processes allow the use of metal porous structures in a variety of industrial applications. Because these structures contain a large number of ordered elements, using traditional modeling methods (such as finite element) to design becomes a real challenge. Then, the homogenization technique can be used to simulate the lattice structure as a completely dense volume with equivalent material properties. In order to determine these equivalent material properties, a single unit of lattice structure can be numerically simulated. However, a key aspect to consider is the boundary conditions applied to the outer surface of the cell. In the literature, different types of boundary conditions are used, but a comparative study is carried out 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.

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