This book provides a systematic description about the development of Isogeometric Topology Optimization (ITO) method using the density, and then addresses the effectiveness and efficiency of the ITO method on several design problems, including multi-material structures, stress-minimization structures, piezoelectric structures and also with the uniform manufacturability, ultra-lightweight architected materials with extreme bulk/shear moduli, auxetic metamaterials and auxetic meta-composites with the NPRs behavior in microstructures. A detailed MATLAB implementation of the ITO method with an in-house code IgaTop is also presented.
Introduction.- Density-based ITO method.- Density-based Multi-material ITO (M-ITO) method.- ITO for structures with stress-minimization.- ITO for piezoelectric structures with manufacturability.- ITO for architected materials.- ITO for auxetic metamaterials.- M-ITO for auxetic meta-composites.- An in-house Matlab code of IgaTop for ITO.
Jie Gao is a faculty of Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology (HUST), Wuhan, China. He received PhD degree from joint program of HUST and University of Technology Sydney, Australia in 2019. He is the guest editor of the special issue of the International Journal of Symmetry on New Advance of Methods and Applications in Topology Optimization and Symmetry in 2021-2022. He is a member of International Society for Structural and Multidisciplinary Optimization (ISSMO), a member of Mechanics Society of Hubei Province and also a member of Mechanics Society of China. His main research area is the topology optimization, mainly including the developments of topology optimization methods and applications in many design problems of multiscale composite structures, architected materials, auxetic metamaterials, etc. Over the last 5 years, he publishlsą