The DOI matches its Crossref record; 73 of the 73 references it cites were found in a registry or an index.
Inverse-designed spinodoid metamaterials
Open accessAbstract
After a decade of periodic truss-, plate-, and shell-based architectures having dominated the design of metamaterials, we introduce the non-periodic class of spinodoid topologies. Inspired by natural self-assembly processes, spinodoid metamaterials are a close approximation of microstructures observed during spinodal phase separation. Their theoretical parametrization is so intriguingly simple that one can bypass costly phase-field simulations and obtain a rich and seamlessly tunable property space. Counter-intuitively, breaking with the periodicity of classical metamaterials is the enabling factor to the large property space and the ability to introduce seamless functional grading. We introduce an efficient and robust machine learning technique for the inverse design of (meta-)materials which, when applied to spinodoid topologies, enables us to generate uniform and functionally graded cellular mechanical metamaterials with tailored direction-dependent (anisotropic) stiffness and density. We specifically present biomimetic artificial bone architectures that not only reproduce the properties of trabecular bone accurately but also even geometrically resemble natural bone.
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LeCun, Y., Bengio, Y., & Hinton, G. (2015) · Nature · doi:10.1038/nature14539 · Cited by 84,126
PyTorch: An Imperative Style, High-Performance Deep Learning Library
Paszke, A., Gross, S., Massa, F., Lerer, A., Bradbury, J., Chanan, G., Killeen, T., Lin, Z., Gimelshein, N., Antiga, L., et al. (2019) · arXiv · doi:10.48550/arxiv.1912.01703 · Cited by 31,473
Raissi, M., Perdikaris, P., & Karniadakis, G. E. (2019) · Journal of Computational Physics · doi:10.1016/j.jcp.2018.10.045 · Cited by 20,384
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,437
Cahn, J. W. (1961) · Acta Metallurgica · doi:10.1016/0001-6160(61)90182-1 · Cited by 3,588
Gibson, I., Rosen, D., & Stucker, B. (2015) · doi:10.1007/978-1-4939-2113-3 · Cited by 3,299
Automatic Chemical Design Using a Data-Driven Continuous Representation of Molecules
Gómez-Bombarelli, R., Wei, J. N., Duvenaud, D., Hernández-Lobato, J. M., Sánchez-Lengeling, B., Sheberla, D., Aguilera-Iparraguirre, J., Hirzel, T. D., Adams, R. P., & Aspuru-Guzik, A. (2018) · ACS Central Science · doi:10.1021/acscentsci.7b00572 · Cited by 3,106
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
Evolution of nanoporosity in dealloying
Erlebacher, J., Aziz, M. J., Karma, A., Dimitrov, N., & Sieradzki, K. (2001) · Nature · doi:10.1038/35068529 · Cited by 2,753
Ultralight, ultrastiff mechanical metamaterials
Zheng, X., Lee, H., Weisgraber, T. H., Shusteff, M., DeOtte, J., Duoss, E. B., Kuntz, J. D., Biener, M. M., Ge, Q., Jackson, J. A., et al. (2014) · Science · doi:10.1126/science.1252291 · Cited by 2,308
Cited by
Unsupervised discovery of interpretable hyperelastic constitutive laws
Flaschel, M., Kumar, S., & De Lorenzis, L. (2021) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2021.113852 · Cited by 258
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Metadata
- Authors
- Kumar, S., Tan, S., Zheng, L., & Kochmann, D. M.
- Venue
- npj Computational Materials
- Published
- 2020-06-05
- Volume
- 6
- Issue
- 1
- ISSN
- 2057-3960 (ISSN-L)
- OpenAlex
- W3033937423
- Cited by
- 444
- References
- 73
- FWCI
- 18.61
- Type
- journal article
- Language
- en
- Open access
- gold
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