2213 マイクロポーラ弾性体を対象としたトポロジー最適化(OS6-3 設計と最適化III)

Abstract

Micropolar elasticity represents mechanical behavior of materials with microstructures. Some real materials exhibit complex nonlocal behavior strongly influenced by their microstructure. In order to analyze these behavior, complex continua, such as Cosserat materials and micropolar elasticity, have been proposed recently. In this paper, the topology optimization problem for micropolar elasticity is dealt with. Topology optimization leads to optimal configurations characterized by the inclusion of holes and multiply-connected material regions. Topology optimization methods have been extensively applied to a variety of structural optimization problems. To mitigate numerical instabilities, such as mesh dependency, checkerboard patterns and grayscales, this paper proposes a level set-based topology optimization method. This method can control the geometrical complexity of obtained optimal configurations, using a fictitious interface energy based on the concept of the phase field model. Optimal material distributions are obtained for minimum mean compliance problems and compliant mechanism design problems. The influence of the micropolar constants on the optimal configuration is discussed.