Band Gap Analysis for Materials with Cookie-Shaped Auxetic Microstructures, Using Finite Elements
Source abstract
Abstract
Microstructures, including auxetic ones, influence the overall behavior of a material. Particularly during wave propagation, band gaps may appear. This study focuses on the discovery and analysis of the band gaps that occur in a material with auxetic microstructures of the cookie type, which have certain advantages with respect to production and fatigue resistance. Finite element analysis at a representative volume element, using Bloch theory, and verification with a plate made of microstructures at various assemblages has been used.
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Research context
OpenAlex topics: Cellular and Composite Structures · Structural Analysis and Optimization · Structural Response to Dynamic Loads
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Production Engineering and Management, Technical University of Crete, 73132 Chania, Greece
References (33)
Show source-provided references
1. Seeing auxetic materials from the mechanics point of view: A structural review on the negative Poisson’s ratio10.1016/j.commatsci.2012.02.012 ↗
2. Auxetic behaviour: Appearance and engineering applications10.1002/pssb.200460388 ↗
3. Lim, T.C. (2015). Auxetic Materials and Structures, Springer.10.1007/978-981-287-275-3 ↗
4. Review of Mechanics and Applications of Auxetic Structures
5. Wave Propagation in Sandwich Plates with Periodic Auxetic Core10.1106/104538902031865 ↗
6. Directional and band-gap behavior of periodic auxetic lattices10.1002/pssb.200460385 ↗
7. Auxetic anti-tetrachiral materials: Equivalent elastic properties and frequency band-gaps10.1016/j.compstruct.2015.05.039 ↗
8. 3D auxetic single material periodic structure with ultra-wide tunable bandgap10.1038/s41598-018-19963-1 ↗
9. Optimal 2D auxetic micro-structures with band gap10.1007/s11012-019-00981-w ↗
10. Conventional and star-shaped auxetic materials for the creation of band gaps10.1007/s00419-019-01594-1 ↗
11. Parametric investigation of band gap effects in chiral microstructures10.24874/jsscm.2021.15.02.07 ↗
12. A novel planar auxetic phononic crystal with periodic cookie-shaped cellular microstructures10.1080/15376494.2021.1896057 ↗
13. A low porosity perforated mechanical metamaterial with negative Poisson’s ratio and band gaps10.1088/1361-665X/aae27c ↗
14. Phononic Band Gaps in Periodic Cellular Materials10.1002/adem.201300064 ↗
15. Study on Band-Gap Behaviors of 2D Hierarchical Re-Entrant Lattice Structures10.1002/pssb.201800693 ↗
16. Band gap analysis of star-shaped honeycombs with varied Poisson’s ratio10.1088/0964-1726/24/9/095011 ↗
17. Vibroacoustic performance of star-shaped honeycomb-core annular cellular structures
18. 3D chiral mechanical metamaterial for tailored band gap and manipulation of vibration isolation10.1016/j.ymssp.2022.109430 ↗
19. Three-dimensional anti-chiral auxetic metamaterial with tunable phononic bandgap10.1063/1.5132589 ↗
20. Design and Wave Propagation Characterization of Starchiral Metamaterials10.1007/s10338-021-00259-3 ↗
21. Three Decades of Auxetics Research − Materials with Negative Poisson’s Ratio: A Review10.1002/adem.201600053 ↗
22. Direct laser writing of auxetic structures: Present capabilities and challenges10.1088/0964-1726/23/8/085033 ↗
23. Phononic properties of hexagonal chiral lattices10.1016/j.wavemoti.2009.04.002 ↗
24. Wave propagation in two-dimensional periodic lattices10.1121/1.2179748 ↗
25. Brillouin, L. (1953). Wave Propagation in Periodic Structures, Dover. [2nd ed.].
26. Kittel, C. (1962). Elementary Solid-State Physics: A Short Course, Wiley. [1st ed.].
27. Xiong, Y., Xu, A., Wen, S., Li, F., and Hosseini, S.M. (2022). Optimization of vibration band-gap characteristics of a periodic elastic metamaterial plate. Mech. Adv. Mater. Struct., 1–11.10.1080/15376494.2022.2070804 ↗
28. Aage, N., Gersborg, A.R., and Sigmund, O. (2008, January 25–29). Topology optimization of optical band gap effects in slab structures modulated by periodic rayleigh waves. Proceedings of the XXII ICTAM, Adelaide, Australia.
29. Maximizing phononic band gaps in piezocomposite materials by means of topology optimization10.1121/1.4887456 ↗
30. Maximizing band gaps in plate structures10.1007/s00158-006-0037-7 ↗
31. Phononic band gap optimization in truss-like cellular structures using smooth P-norm approximations10.1007/s00158-021-02862-x ↗
32. Mechanical Behaviour of Auxetic Microstructures Using Contact Mechanics and Elastoplasticity10.4028/www.scientific.net/KEM.681.100 ↗
33. Pyskir, A., Collet, M., Dimitrijevic, Z., and Lamarque, C.-H. (2021). Enhanced Vibration Isolation with Prestressed Resonant Auxetic Metamaterial. Materials, 14.10.3390/ma14226743 ↗