자기 비선형, 탄성, 열전도가 고려된 다중물리 기반 미세구조 위상최적설계

Abstract

With the development of additive manufacturing technology, design studies of microstructure for controlling physical properties are being actively conducted, and also widely used in the development of magnetic devices. These devices must consider multiphsics phenomena such as magnetic nonlinearity, elasticity, and heat transfer. However, studies on microstructure design considering multiphysics problems especially, with nonlinear magnetic fields are rare. Therefore, a multiphysics inverse homogenization method that controls mechanical properties in nonlinear magnetic fields was proposed. The effective properties were derived using the periodic cell theory-based homogenization method, and topology optimization was carried out. Microstructure design methods that maximize bulk, shear modulus, and thermal conductivity subject to prescribed nonlinear permeability were proposed. As a result, the multiphysics optimization problem showed that two physics phenomena were considered simultaneously, unlike the single physics problems. This design method can be applied to optimize structural stiffness and heat transfer while controlling nonlinear permeability in the development of xEV components.