Gao, Jie.

Isogeometric Topology Optimization Methods, Applications and Implementations / [electronic resource] : by Jie Gao, Liang Gao, Mi Xiao. - 1st ed. 2022. - 1 online resource - Engineering Applications of Computational Methods, 7 2662-3374 ; . - Engineering Applications of Computational Methods, 7 .

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.

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.

9789811917707

10.1007/978-981-19-1770-7 doi


Engineering design.
Mathematical optimization.
Mathematical models.
Industrial engineering.
Production engineering.
Engineering Design.
Optimization.
Mathematical Modeling and Industrial Mathematics.
Industrial and Production Engineering.

Topology Isogeometric analysis Mathematical optimization Engineering mathematics

TA331