異方性材料のトポロジー最適化における配向方向の更新方法についての検討

抄録

In this research, we study on updating method for the orientation of anisotropic material in topology optimization. In the topology optimization of anisotropic materials, the material distribution and the orientation of the fiber are treated as design variables. In this research, we focus on the optimization of the orientation. First, we express the orientation as a vector field, and define elastic coefficient tensor of an anisotropic material. In the previous research, the upper limit was set for the nom of the orientation vector field, which results in restriction on updating the orientation. Thus, there is a possibility of falling into a local solution. Therefore, in this research, we formulate the optimization problem with constraint on the orientation vector field based on the augmented Lagrangian method. Finally, we present a numerical example for the stiffness maximization problem of the linear anisotropic elastic material, and confirm the validity of the proposed method.