Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. (English) Zbl 1392.74074
Summary: The evolutionary structural optimization (ESO) method developed by Y. M. Xie and G. P. Steven [“A simple evolutionary procedure for structural optimization”, Comput. Struct. 49, No. 5, 885–896 (1993; doi:10.1016/0045-7949(93)90035-C)], an important branch of topology optimization, has undergone tremendous development over the past decades. Among all its variants, the convergent and mesh-independent bi-directional evolutionary structural optimization (BESO) method developed by X. Huang and Y. M. Xie [“Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method”, Finite Elem. Anal. Des. 43, No. 14, 1039–1049 (2007; doi:10.1016/j.finel.2007.06.006)] allowing both material removal and addition, has become a widely adopted design methodology for both academic research and engineering applications because of its efficiency and robustness. This paper intends to present a comprehensive review on the development of ESO-type methods, in particular the latest convergent and mesh-independent BESO method is highlighted. Recent applications of the BESO method to the design of advanced structures and materials are summarized. Compact Malab codes using the BESO method for benchmark structural and material microstructural designs are also
provided.
MSC:
| 74P05 | Compliance or weight optimization in solid mechanics |
| 90C90 | Applications of mathematical programming |
| 90C59 | Approximation methods and heuristics in mathematical programming |
| 49Q10 | Optimization of shapes other than minimal surfaces |
| 74S05 | Finite element methods applied to problems in solid mechanics |
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