Study on the mechanism of band gap and directional wave propagation of the auxetic chiral lattices

Kai Zhang; Pengcheng Zhao; Cheng Zhao; Fang Hong; Zichen Deng

doi:10.1016/j.compstruct.2020.111952

journal article Apr 01, 2020

Study on the mechanism of band gap and directional wave propagation of the auxetic chiral lattices

Kai Zhang

Pengcheng Zhao

Cheng Zhao

Fang Hong

Zichen Deng

Composite Structures Vol. 238 pp. 111952 · Elsevier BV

View at Publisher Save 10.1016/j.compstruct.2020.111952

Topics

No keywords indexed for this article. Browse by subject →

References

49

[1]

Fozdar "Three-dimensional polymer constructs exhibiting a tunable negative poisson's ratio" Adv Funct Mater (2011) 10.1002/adfm.201002022

[2]

Lee "Micro-/nanostructured mechanical metamaterials" Adv Mater (2012) 10.1002/adma.201201644

[3]

Chen "Hierarchical honeycomb lattice metamaterials with improved thermal resistance and mechanical properties" Compos Struct (2016) 10.1016/j.compstruct.2016.05.048

[4]

Zheng "Ultralight, ultrastiff mechanical metamaterials" Science (2014) 10.1126/science.1252291

[5]

Wu "Mechanical design and multifunctional applications of chiral mechanical metamaterials: a review" Mater Des (2019) 10.1016/j.matdes.2019.107950

[6]

Zhang "Free vibration of nonlocal Timoshenko beams made of functionally graded materials by Symplectic method" Compos B Eng (2019) 10.1016/j.compositesb.2018.08.051

[7]

Wang "Hierarchical chirality transfer in the growth of Towel Gourd tendrils" Sci Rep (2013)

[8]

Metamaterials with negative Poisson’s ratio and non-positive thermal expansion

L. Ai, X.-L. Gao

Composite Structures 2017 10.1016/j.compstruct.2016.11.056

[9]

Buckmann "Tailored 3D mechanical metamaterials made by dip-in direct-laser-writing optical lithography" Adv Mater (2012) 10.1002/adma.201200584

[10]

Seeing auxetic materials from the mechanics point of view: A structural review on the negative Poisson’s ratio

Yunan Prawoto

Computational Materials Science 2012 10.1016/j.commatsci.2012.02.012

[11]

Tee "Wave propagation in auxetic tetrachiral honeycombs" J Vib Acoust (2010) 10.1115/1.4000785

[12]

Scarpa "On the transverse shear modulus of negative Poisson's ratio honeycomb structures" Fatigue Fract Eng Mater Struct (2000) 10.1046/j.1460-2695.2000.00278.x

[13]

Tang "Design of hierarchically cut hinges for highly stretchable and reconfigurable metamaterials with enhanced strength" Adv Mater (2015) 10.1002/adma.201502559

[14]

Auxetic behavior from rotating triangles

Joseph N. Grima, KENNETH E. EVANS

Journal of Materials Science 2006 10.1007/s10853-006-6339-8

[15]

Shan "Design of planar isotropic negative Poisson’s ratio structures" Extreme Mech Lett (2015) 10.1016/j.eml.2015.05.002

[16]

Foam Structures with a Negative Poisson's Ratio

Roderic Lakes

Science 1987 10.1126/science.235.4792.1038

[17]

Cho "Engineering the shape and structure of materials by fractal cut" PNAS (2014) 10.1073/pnas.1417276111

[18]

Wagner "Large shape transforming 4D auxetic structures" 3D Printing Additive Manuf (2017) 10.1089/3dp.2017.0027

[19]

Ebrahimi "Lattice materials with reversible foldability" Adv Eng Mater (2017) 10.1002/adem.201600646

[20]

Gatt "On the properties of real finite-sized planar and tubular stent-like auxetic structures" Phys Status Solidi (B) (2014) 10.1002/pssb.201384257

[21]

Mizzi "On the suitability of hexagonal honeycombs as stent geometries" Phys Status Solidi B (2014) 10.1002/pssb.201384255

[22]

Tan "Compliance and longitudinal strain of cardiovascular stents: influence of cell geometry" J Med Dev (2011)

[23]

Scarpa "Mechanical and electromagnetic behaviour of auxetic honeycomb structures" Aeronaut J (2003) 10.1017/s000192400001191x

[24]

Scarpa "Dynamic properties of high structural integrity auxetic open cell foam" Smart Mater Struct (2004) 10.1088/0964-1726/13/1/006

[25]

Babaee "3D soft metamaterials with negative Poisson's ratio" Adv Mater (2013) 10.1002/adma.201301986

[26]

Mousanezhad "Hierarchical honeycomb auxetic metamaterials" Sci Rep (2015) 10.1038/srep18306

[27]

Bertoldi "Negative Poisson's ratio behavior induced by an elastic instability" Adv Mater (2010) 10.1002/adma.200901956

[28]

Jiang "3D printed auxetic mechanical metamaterial with chiral cells and re-entrant cores" Sci Rep (2018)

[29]

Gaspar "Novel honeycombs with auxetic behaviour" Acta Mater (2005) 10.1016/j.actamat.2005.02.006

[30]

Smith "A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model" Acta Mater (2000) 10.1016/s1359-6454(00)00269-x

[31]

Nemat-Nasser S. Anti-plane shear waves in periodic elastic composites: band structure and anomalous wave refraction. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015;471. 10.1098/rspa.2015.0152

[32]

Mokhtari "On the emergence of negative effective density and modulus in 2-phase phononic crystals" J Mech Phys Solids (2019) 10.1016/j.jmps.2019.02.016

[33]

Shmuel "Universality of the frequency spectrum of laminates" J Mech Phys Solids (2016) 10.1016/j.jmps.2016.04.001

[34]

Phani "Wave propagation in two-dimensional periodic lattices" J Acoustical Soc Am (2006) 10.1121/1.2179748

[35]

Trainiti "Wave propagation in undulated structural lattices" Int J Solids Struct (2016) 10.1016/j.ijsolstr.2016.07.006

[36]

Zhang "Deng Z. On the directional wave propagation in the tetrachiral and hexachiral lattices with local resonators. Smart" Mater Struct (2020)

[37]

Zhang "Analysis of temperature-dependent wave propagation for programmable lattices" Int J Mech Sci (2020) 10.1016/j.ijmecsci.2019.105372

[38]

Schaeffer "Wave propagation in multistable magneto-elastic lattices" Int J Solids Struct (2015) 10.1016/j.ijsolstr.2014.12.003

[39]

Warmuth "Phononic band gaps in 2D quadratic and 3D cubic cellular structures" Materials. (2015) 10.3390/ma8125463

[40]

Bertoldi "Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations" Phys Rev B (2008) 10.1103/physrevb.78.184107

[41]

Trainiti "Wave propagation in periodically undulated beams and plates" Int J Solids Struct (2015) 10.1016/j.ijsolstr.2015.08.019

[42]

Martinsson "Vibrations of lattice structures and phononic band gaps" Q J Mech Appl Math (2003) 10.1093/qjmam/56.1.45

[43]

Spadoni "Phononic properties of hexagonal chiral lattices" Wave Motion (2009) 10.1016/j.wavemoti.2009.04.002

[44]

Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook

Mahmoud I. Hussein, Michael J. Leamy, Massimo Ruzzene

Applied Mechanics Reviews 10.1115/1.4026911

[45]

Wang "Bandgaps and directional propagation of elastic waves in 2D square zigzag lattice structures" J Phys D Appl Phys (2014) 10.1088/0022-3727/47/48/485102

[46]

Xl "The influence of material properties on the elastic band structures of one-dimensional functionally graded phononic crystals" J Appl Phys (2012)

[47]

Li "Active tuning of vibration and wave propagation in elastic beams with periodically placed piezoelectric actuator/sensor pairs" J Sound Vib (2017) 10.1016/j.jsv.2017.01.038

[48]

Jin "Shear resistance of an auxetic chiral mechanical metamaterial" Int J Solids Struct (2019) 10.1016/j.ijsolstr.2019.06.005

[49]

Taylor "Focusing of phonons in crystalline solids due to elastic anisotropy" Phys Rev B (1971) 10.1103/physrevb.3.1462

Cited By

95

A Bio-Inspired Lightweight Metamaterial Plate for Broadband Vibration Suppression

Lei Kang, Siqi Gao · 2026

International Journal of Mechanical...

Outer-ligament-enhanced tetra-missing rib auxetic structures with high specific stiffness and broadband elastic bandgaps

Hao Chen, Longtao Xie · 2026

Materials & Design

Bandgaps and damping of phononic crystals with multiple coupled deformations

Haishan Tang, Chaosheng Mei · 2025

Mechanics of Advanced Materials and...

Auxetics and FEA: Modern Materials Driven by Modern Simulation Methods

Russell Galea Mifsud, Grace Anne Muscat · 2024

Materials

Deep learning-based inverse design of lattice metamaterials for tuning bandgap

Kai Zhang, Yaoyao Guo · 2024

Extreme Mechanics Letters

3D chiral mechanical metamaterial for tailored band gap and manipulation of vibration isolation

Pengcheng Zhao, Kai Zhang · 2022

Mechanical Systems and Signal Proce...

A novel auxetic acoustic metamaterial plate with tunable bandgap

Zhi Tao, Xin Ren · 2022

International Journal of Mechanical...

Wave propagation in mass embedded and pre-stressed hexagonal lattices

Danilo Karličić, Milan Cajić · 2021

Composite Structures

Metrics

95

Citations

49

References

Details

Published: Apr 01, 2020
Vol/Issue: 238
Pages: 111952
License: View

Authors

K

Kai Zhang

Chinese Academy of Sciences

Wuhan University

CAS Key Laboratory of Pathogenic Microbiology and Immunology, Institute of Microbiology, Chinese Academy of Sciences (CAS), Beijing, China.; Shanxi Academy of Advanced Research and Innovation, Taiyuan, China.

Funding

National Natural Science Foundation of China

Cite This Article

Kai Zhang, Pengcheng Zhao, Cheng Zhao, et al. (2020). Study on the mechanism of band gap and directional wave propagation of the auxetic chiral lattices. Composite Structures, 238, 111952. https://doi.org/10.1016/j.compstruct.2020.111952

Study on the mechanism of band gap and directional wave propagation of the auxetic chiral lattices

You May Also Like