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Editorial: multiscale lattices and composite materials: optimal design, modeling and characterization

Editorial on the Research Topic

The Research Topic “ Multiscale lattices and composite materials:” (MLCM) is focused on the optimal design, modeling, and characterization of novel lattices, composite materials, and structures at different scales, through the control of the internal architecture of the system.

A fundamental goal of this article collection is the study of mechanical metamaterials that are able to form next-generation-generation cellular solids; lattice materials, multiscale composites; and structural-scale systems. The collection took inspiration from the peculiar behaviors exhibited by structured materials at multiple scales ( Bosia et al., 2018 ). The latter include, for example, high stiffness, strength, and toughness at extremely low densities ( Meza et al., 2014 ), phononic band-gaps ( Lu et al., 2009 ), sound control ability ( Cummer et al., 2016 ); negative effective mass density ( Liu et al., 2000 ); localized confined waves ( Theocharis et al., 2013 ), to name but a few examples. The research reported devoted special attention to the creation of complex mechanical systems with properties derived mainly from their geometric design rather than their chemical composition ( Cummer et al., 2016 ; Bertoldi et al., 2017 ). Also investigated was the use of multiscale lattices to optimally design reinforcing elements for novel composite materials ( Fleck et al., 2010 ; Li et al., 2014 ). The chosen modeling and experimental approaches were able to predict and characterize the intrinsically complex mechanical behavior of the analyzed systems through multiscale techniques.

The papers forming the MLCM collection can be grouped into two basic categories. The first of these is centered around the design, modeling, and characterization of lattice structures at different scales, through the maximization of the frequency bandgap width at suitable center frequencies (;); the optimal design and mechanical modeling of tensegrity metamaterials (), superstable pre-stressed networks (), graphene sheets (); dome-shaped auxetic metamaterials (); and solar façades that employ dynamic sunscreens with tensegrity architecture (). This first group of papers also includes contributions dealing with the development of non-destructive testing and structural health monitoring techniques that make use of guided elastic waves (), as well as the experimental characterization of the microstructure of the Nephila dragline silk ().

A second category focuses on the modeling and characterization of novel composite materials, with emphasis on the mechanical properties, for example, of bamboo fiber-reinforced composites (); the effects of defects, porosity, and damage on the mechanical properties of metallic materials to be employed in additive manufacturing processes (); the macroscopic response of micropolar continua with anisotropic microstructure (); the addition of lattice-shaped inclusions to metaconcretes (); and the propagation of pressure waves in three-dimensional arrangements of coated spheres ().

Our hope is that the research presented in this collection will stimulate new and exciting research in the fields of mechanical metamaterials and multiscale composite materials and structures, through an integrated approach that includes the design and the mechanical modeling of real-scale, or reduced-scale prototypes; the optimal control of suitable design variables; and the experimental validation of the theoretical predictions.

Author Contributions

All authors listed have made a substantial, direct and intellectual contribution to the work, and approved it for publication.

Conflict of Interest Statement

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

The handling editor declared a past collaboration with the authors FF, CD.

References

Bertoldi, K., Vitelli, V., Christensen, J., and Van Hecke, M. (2017). Flexible mechanical metamaterials. Nat. Rev. Mater. 2: 17066. doi: 10. 1038/natrevmats. 2017. 66

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Bosia, F., Krushynska, A. O., Miniaci, M., Morvan, B., and Pugno, N. M. (2018). Editorial: advances in mechanical metamaterials. Front. Mater. 5: 56. doi: 10. 3389/fmats. 2018. 00056

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Cummer, S. A., Christensen, J., and Alu, A. (2016). Controlling sound with acoustic metamaterials. Nat. Rev. Mater. 1: 16001. doi: 10. 1038/natrevmats. 2016. 1

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Fleck, N. A., Deshpande, V. S., and Ashby, M. F. (2010). Micro-architectured materials: past, present and future. Proc. R. Soc. A 466, 2495–2516. doi: 10. 1098/rspa. 2010. 0215

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Li, J., Wu, Z., Huang, C., and Li, L. (2014). Multiscale carbon nanotube-woven glass fiber reinforced cyanate ester/epoxy composites for enhanced mechanical and thermal properties. Compos. Sci. Technol . 104, 81–88. doi: 10. 1016/j. compscitech. 2014. 09. 007

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Liu, Z., Zhang, X., Mao, Y., Zhu, Y. Y., Yang, Z., Chan, C. T., et al. (2000). Locally resonant sonic materials. Science 289, 1734–1736. doi: 10. 1016/S0921-4526(03)00487-3

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Lu, M. H., Feng, L., and Chen, Y. F. (2009). Phononic crystals and acoustic metamaterials. Mater. Today 12, 34–42. doi: 10. 1016/S1369-7021(09)70315-3

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Meza, L. R., Das, S., and Greer, J. R. (2014). Strong, lightweight, and recoverable three-dimensional ceramic nanolattices. Science 345, 1322–1326. doi: 10. 1126/science. 1255908

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Theocharis, G., Boechler, N., and Daraio, C. (2013). “ Nonlinear phononic structures and metamaterials,” in Acoustic Matematerials and Phononic Crystals , ed P. A. Deymier (Berlin; Heidelberg: Springer-Verlag), 173.

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