Topology optimization of continuum structures with design-dependent loads has long been a challenge.In this paper,the topology optimization of 3D structures subjected to design-dependent loads is investigated.A boundary search scheme is proposed for 3D problems,by means of which the load surface can be identified effectively and efficiently,and the difficulties arising in other approaches can be overcome.The load surfaces are made up of the boundaries of finite elements and the loads can be directly applied to corresponding element nodes,which leads to great convenience in the application of this method.Finally,the effectiveness and efficiency of the proposed method is validated by several numerical examples.
An effective method to design structural Left-handed material(LHM) was proposed. A commercial finite element software HFSS and S-parameter retrieval method were used to determine the effective constitutive parameters of the metamaterials, and topology optimization technique was introduced to design the microstructure configurations of the materials with desired electromagnetic characteristics. The material considered was a periodic array of dielectric substrates attached with metal film pieces. By controlling the arrangements of the metal film pieces in the design domain, the potential microstructure with desired electromagnetic characteristics can be obtained finally. Two different LHMs were obtained with maximum bandwidth of negative refraction, and the experimental results show that negative refractive indices appear while the metamaterials have simultaneously negative permittivity and negative permeability. Topology optimization technique is found to be an effective tool for configuration design of LHMs.
