@article{LI2023, 
author = {Gen LI and Ye TIAN and Kang YANG and Tielin SHI and Qi XIA},
title = {A partition of unity level set method with moving knot CS-RBFs for optimizing variable stiffness composites},
year = {2023},
journal = {Chinese Journal of Aeronautics},
volume = {36},
number = {4},
pages = {565-572},
keywords = {Composite structures, Moving knots, Partition of unity, Radial basis functions, Structural optimization},
url = {https://www.sciopen.com/article/10.1016/j.cja.2023.02.012},
doi = {10.1016/j.cja.2023.02.012},
abstract = {A partition of unity level set method with moving knot Compactly Supported Radial Basis Functions (CS-RBFs) is proposed for optimizing variable stiffness composite structures. The iso-contours of a level set function are utilized to represent the curved fiber paths, and the tangent vector of the iso-contour defines the orientation of fiber. The level set function of the full design domain is constructed according to the Partition of Unity (POU) method by a set of local level set functions defined on an array of overlapping subdomains, and they are constructed by using the CS-RBFs. The positions of knots are iteratively changed during the optimization to improve the performance of composite structures. Several examples of compliance minimization are presented.}
}