Orientation optimization via topological derivatives in combination with multi-material topology optimization based on extended level set method
Masaki Noda, Kei Matsushima, Takayuki Yamada
Abstract
This paper provides an orientation angle optimization method for the design of fiber-reinforced composite materials using topology optimization. The orientation angle optimization is based on a topological derivative, which measures the sensitivity of an objective function with respect to a topological change of anisotropic materials. The sensitivity is incorporated into a new gradient-based optimization algorithm. This method improves our ability to obtain better optimal candidates. We provide some numerical examples and verify the effectiveness of the proposed method.
Topics & Concepts
Topology optimizationSensitivity (control systems)Level set methodTopology (electrical circuits)Shape optimizationOrientation (vector space)Mathematical optimizationSet (abstract data type)Optimization problemLevel set (data structures)MathematicsComputer scienceAlgorithmFinite element methodEngineeringStructural engineeringGeometryArtificial intelligenceElectronic engineeringProgramming languageImage segmentationCombinatoricsSegmentationTopology Optimization in EngineeringComposite Structure Analysis and OptimizationAdvanced Multi-Objective Optimization Algorithms