Stress-related topology optimization with multilevel smoothed isogeometric densities and Bézier elements

• DOI: 10.1016/j.cma.2023.115974
• Publication Date: 2023-03-15T23:47:28Z
• Authors: Chungang Zhuang; Zhenhua Xiong; Han Ding
• Keywords: Isogeometric analysis; Topology optimization; Centroid; Partition of unity; Basis function; Smoothness

Isogeometric analysis (IGA) provides a feasible technique to seamlessly integrate computer-aided design (CAD) into the existing finite element analysis. In this article, Bézier elements-based IGA method is established address stress-related topology optimization of structures, which incorporates geometrical representation, structural and unified process as well can naturally handle curvilinear edge elements for stress problems. To enhance smoothness boundaries, multilevel isogeometric density field (IDF) defined at control points (CPs) designed by utilizing values non-uniform rational B-splines (NURBS) basis functions from previous iteration. A global measure approximated smooth maximum function with an additional error term. The k-means clustering originally signal processing used partition observations dynamic centroids indices, improves accuracy sensitivity results. analyses problems are derived IDF model. Three kinds numerical results provided illustrate effectiveness proposed solve via model achieving optimal solution boundaries.