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This paper provides an orientation angle optimization method for the designof fiber-reinforced composite materials using topology optimization. Theorientation angle optimization is based on a topological derivative, whichmeasures the sensitivity of an objective function with respect to a topologicalchange of anisotropic materials. The sensitivity is incorporated into a newgradient-based optimization algorithm. This method allows us to avoid localoptima and seek a global optimal solution. We provide some numerical examplesand verify the effectiveness of the proposed method.

Orientation Optimization Based on Topological Derivatives in Cooperation with Multi-Material Topology Optimization Based on Extended Level Set Method