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Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review

Yingjun Wang1,*, Zhenpei Wang2,*, Zhaohui Xia3, Leong Hien Poh2
National Engineering Research Center of Novel Equipment for Polymer Processing, Key Laboratory of Polymer Processing Engineering (South China University of Technology), Ministry of Education, School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, 510641, China.
Department of Civil and Environmental Engineering, National University of Singapore 1 Engineering Drive 2, E1A 07-03, 117576, Singapore.
Center for Modeling, Simulation and Imaging in Medicine (CeMSIM), Rensselaer Polytechnic Institute, Troy, NY 12180, USA.
*Corresponding Author: Yingjun Wang. Email: .

Computer Modeling in Engineering & Sciences 2018, 117(3), 455-507. https://doi.org/10.31614/cmes.2018.04603

Abstract

Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design tools, has been used in structural optimization for 10 years, with plenty of excellent research results. This paper provides a comprehensive review on isogeometric shape and topology optimization, with a brief coverage of size optimization. For isogeometric shape optimization, attention is focused on the parametrization methods, mesh updating schemes and shape sensitivity analyses. Some interesting observations, e.g. the popularity of using direct (differential) method for shape sensitivity analysis and the possibility of developing a large scale, seamlessly integrated analysis-design platform, are discussed in the framework of isogeometric shape optimization. For isogeometric topology optimization (ITO), we discuss different types of ITOs, e.g. ITO using SIMP (Solid Isotropic Material with Penalization) method, ITO using level set method, ITO using moving morphable com-ponents (MMC), ITO with phase field model, etc., their technical details and applications such as the spline filter, multi-resolution approach, multi-material problems and stress con-strained problems. In addition to the review in the last 10 years, the current developmental trend of isogeometric structural optimization is discussed.

Keywords

Isogeometric analysis, structural optimization, shape optimization, topology optimization, sensitivity analysis.

Cite This Article

Wang, Y., Wang, Z., Xia, Z., Poh, L. H. (2018). Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review. CMES-Computer Modeling in Engineering & Sciences, 117(3), 455–507.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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