Topology Optimization fiber reinforced materials considering Tsai-Wu yield criterion

Resumo

The utilization of fiber-reinforced materials has experienced a significant surge due to their notable advantages, particularly their high strength-to-mass ratio. As a result, new additive manufacturing technologies have emerged to accommodate these materials, offering capabilities for tailoring fiber orientation and creating opportunities for optimization techniques. Consequently, a growing body of literature has focused on optimizing fiber orientation. However, a crucial consideration in this context is the stress yield criteria. This study addresses the Topology Optimization problem by minimizing the structure volume while considering local stress constraints using Tsai-Wu yield criteria. To achieve this, we use the method NDFO-adapt, which determines the material distribution and fiber orientation. Our approach optimizes the penalization fields, material distribution, and fiber angles. Additionally, we extend a similar approach to optimize the threshold projection parameter. By adopting this strategy, we modify the solution space, enabling the exploration of previously unattainable local minima. To handle the local stress constraint, we employ the Augmented Lagrangian method. The efficacy of the proposed method is demonstrated through numerical examples.