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The research aims to optimize the design of Fiber Reinforced Composite (FRC) structures by simultaneously adjusting both the structural shape and fiber orientation.
The structural geometry is represented using a level set function, while the fiber orientation field is parameterized with quadratic/cubic B-splines. This allows for continuous and smooth variation of the fiber orientation.
Penalties for fiber misalignment and curvature are introduced to promote parallel and smooth fiber paths, facilitating manufacturing. The misalignment penalty ensures that the change in fiber orientation along the normal direction is minimized, while the curvature penalty limits the bending of the fibers.
The material behavior of the FRCs is modeled using the Mori-Tanaka homogenization scheme, and the macroscopic structure response is modeled by linear elasticity under static multiloading conditions.
The governing equations are discretized using eXtended IsoGeometric Analysis (XIGA) to avoid the need for conformal meshes, and the resulting optimization problems are solved using a gradient-based algorithm.
Numerical examples in 2D and 3D demonstrate the effectiveness of the proposed method in simultaneously optimizing the macroscopic shape and the fiber layout while improving manufacturability by promoting parallel and smooth fiber paths.
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by M.Mokhtarzad... at arxiv.org 03-29-2024
https://arxiv.org/pdf/2403.18971.pdfDeeper Inquiries