The DOI matches its Crossref record; 91 of the 91 references it cites were found in a registry or an index.
Topology optimization of multi-scale structures: a review
Open accessAbstract
Multi-scale structures, as found in nature (e.g., bone and bamboo), hold the promise of achieving superior performance while being intrinsically lightweight, robust, and multi-functional. Recent years have seen a rapid development in topology optimization approaches for designing multi-scale structures, but the field actually dates back to the seminal paper by Bendsøe and Kikuchi from 1988 (Computer Methods in Applied Mechanics and Engineering 71(2): pp. 197–224). In this review, we intend to categorize existing approaches, explain the principles of each category, analyze their strengths and applicabilities, and discuss open research questions. The review and associated analyses will hopefully form a basis for future research and development in this exciting field.
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Cites
Generating optimal topologies in structural design using a homogenization method
Bendsøe, M. P., & Kikuchi, N. (1988) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(88)90086-2 · Cited by 7,467
A variational approach to the theory of the elastic behaviour of multiphase materials
Hashin, Z., & Shtrikman, S. (1963) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(63)90060-7 · Cited by 5,882
Optimal shape design as a material distribution problem
Bendsøe, M. P. (1989) · Structural Optimization · doi:10.1007/bf01650949 · Cited by 4,521
A level set method for structural topology optimization
Wang, M. Y., Wang, X., & Guo, D. (2003) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(02)00559-5 · Cited by 3,232
Topology optimization approaches: A comparative review
Sigmund, O., & Maute, K. (2013) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-013-0978-6 · Cited by 2,890
Self-citationMaterial interpolation schemes in topology optimization
Bendsøe, M. P., & Sigmund, O. (1999) · Archive of Applied Mechanics (Ingenieur Archiv) · doi:10.1007/s004190050248 · Cited by 2,827
Self-citationNature’s hierarchical materials
Fratzl, P., & Weinkamer, R. (2007) · Progress in Materials Science · doi:10.1016/j.pmatsci.2007.06.001 · Cited by 2,800
Structural optimization using sensitivity analysis and a level-set method
Allaire, G., Jouve, F., & Toader, A.-M. (2004) · Journal of Computational Physics · doi:10.1016/j.jcp.2003.09.032 · Cited by 2,759
A simple evolutionary procedure for structural optimization
Xie, Y. M., & Steven, G. P. (1993) · Computers & Structures · doi:10.1016/0045-7949(93)90035-c · Cited by 2,707
A 99 line topology optimization code written in Matlab
Sigmund, O. (2001) · Structural and Multidisciplinary Optimization · doi:10.1007/s001580050176 · Cited by 2,688
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Cited by
Khan, N., & Riccio, A. (2024) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2024.101021 · Cited by 486
Novel designs of blade mixer impellers from the discrete element method and topology optimization
Castro, M. T., & Ocon, J. D. (2024) · Chemical Engineering Journal · doi:10.1016/j.cej.2024.151863 · Cited by 14
Metadata
- Authors
- Wu, J., Sigmund, O., & Groen, J. P.
- Venue
- Structural and Multidisciplinary Optimization
- Published
- 2021-03
- Volume
- 63
- Issue
- 3
- Pages
- 1455-1480
- ISSN
- 1615-147X (ISSN-L)
- 1615-1488
- OpenAlex
- W3134775088
- Cited by
- 688
- References
- 91
- FWCI
- 45.56
- Type
- journal article
- Language
- en
- Open access
- hybrid
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