Distinct Buckling Modes In Mechanical Metamaterials With Stiff Square Networks And Periodically Arranged Voids
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2021 by IJETT Journal|
|Year of Publication : 2021|
|Authors : Peter Nikitin, Ivan Smirnov, Slava Slesarenko
|DOI : 10.14445/22315381/IJETT-V69I4P225|
MLA Style: Peter Nikitin, Ivan Smirnov, Slava Slesarenko "Distinct Buckling Modes In Mechanical Metamaterials With Stiff Square Networks And Periodically Arranged Voids" International Journal of Engineering Trends and Technology 69.4(2021):177-182.
APA Style:Peter Nikitin, Ivan Smirnov, Slava Slesarenko. Distinct Buckling Modes In Mechanical Metamaterials With Stiff Square Networks And Periodically Arranged Voids International Journal of Engineering Trends and Technology, 69(4),177-182.
Extreme properties of mechanical metamaterials originate in their involved internal architecture. Instability-driven metamaterials harness the phenomenon of elastic buckling accompanied by significant reconfigurations of the architecture to facilitate the variability of their properties. Two common geometrical motifs often used in the design of instability-driven metamaterials are periodically arranged voids embedded into a soft deformable matrix and stiff periodic lattices with different architectures. Here the buckling behavior of metamaterials that combine these two design ideas is studied. By employing the Bloch-Floquet approach, it is demonstrated that the involved interplay between two periodic patterns significantly affects the critical strain values corresponding to the onset of instability. Moreover, two distinct buckling modes defined by the number of periodically arranged voids in the unit cell are observed. If the unit cell contains an even number of voids, then the local mode accompanied by equivalent reconfiguration in every unit cell is realized. However, if the unit cell contains an odd number of voids, then metamaterial acquires new periodicity via the formation of alternating patterns. The observed interplay between two periodic systems within one metamaterial can be further employed for more advanced designs to control the propagation of elastic waves.
 Milton GW, Cherkaev AV. Which Elasticity Tensors are Realizable? Journal of Engineering Materials and Technology 117(1995) 483–93.
 Kadic M, Bückmann T, Schittny R, Wegener M. Metamaterials beyond electromagnetism. Reports on Progress in Physics 76(2013) 126501
 Zadpoor AA. Mechanical meta-materials. Materials Horizons 3(2016) 371–81.
 Zheng X, Lee H, Weisgraber TH, Shusteff M, DeOtte J, Duoss EB, et al. Ultralight, ultrastiff mechanical metamaterials. Science 344(2014) 1373–7.
 Kolken HMA, Zadpoor AA. Auxetic mechanical metamaterials. RSC Advances 7(2017) 5111–29.
 Li J, Slesarenko V, Rudykh S. Auxetic multiphase soft composite material design through instabilities with application for acoustic metamaterials. Soft Matter 14(2018) 6171–80.
 Cui S, Gong B, Ding Q, Sun Y, Ren F, Liu X, et al. Mechanical Metamaterials Foams with Tunable Negative Poisson’s Ratio for Enhanced Energy Absorption and Damage Resistance. Materials 11(2018) 1869.
 Li Z, Wang X. On the dynamic behaviour of a two-dimensional elastic metamaterial system. International Journal of Solids and Structures 78–79 (2016) 174–81.
 Li J, Slesarenko V, Galich PI, Rudykh S. Oblique shear wave propagation in finitely deformed layered composites. Mechanics Research Communications 87(2018) 21–8.
 Gao C, Slesarenko V, Boyce MC, Rudykh S, Li Y. Instability-Induced Pattern Transformation in Soft Metamaterial with Hexagonal Networks for Tunable Wave Propagation. Scientific Reports 8(2018) 11834
 Christensen J, de Abajo FJG. Anisotropic Metamaterials for Full Control of Acoustic Waves. Physical Review Letters 108(2012) 124301.
 Slesarenko V, Galich PI, Li J, Fang NX, Rudykh S. Foreshadowing elastic instabilities by negative group velocity in soft composites. Applied Physics Letters 113(2018) 031901.
 Li J, Fok L, Yin X, Bartal G, Zhang X. Experimental demonstration of an acoustic magnifying hyperlens. Nature Materials 8(2009) 931–4.
 D. Nanda Kumar, G. Suganya, L.Nagarajan, Evaluation of Mechanical Properties of Bamboo/Epoxy Modified with Nanoclay Composites. IJETT International Journal of Mechanical Engineering 8.3(2021) 11-15.
 Mamaru Wutabachew, Dr. Negash Alemu. Investigation of Mechanical Properties of Horse Hair And Glass Fiber Rein Forced Hybrid Polymer Composite. IJETT International Journal of Mechanical Engineering 6.5(2019) 32-40.
 Madan Morle, Alok Agrawal. Physical and Mechanical Properties of Micro-Size Ceramic Particulate Filled Epoxy Composites. IJETT International Journal of Mechanical Engineering 6.9(2019) 23-26.
 Tang Y, Lin G, Han L, Qiu S, Yang S, Yin J. Design of Hierarchically Cut Hinges for Highly Stretchable and Reconfigurable Metamaterials with Enhanced Strength. Advanced Materials 27(2015) 7181–90.
 Overvelde JTB, Weaver JC, Hoberman C, Bertoldi K. Rational design of reconfigurable prismatic architected materials. Nature 541(2017) 347–52.
 Silverberg JL, Evans AA, McLeod L, Hayward RC, Hull T, Santangelo CD, et al. Using origami design principles to fold reprogrammable mechanical metamaterials. Science 345(2014) 647–50.
 Babaee S, Overvelde JTB, Chen ER, Tournat V, Bertoldi K. Reconfigurable origami-inspired acoustic waveguides. Sci Adv 2 (2016) e1601019.
 Triantafyllidis N, Maker BN. On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites. Journal of Applied Mechanics 52(1985) 794.
 Slesarenko V, Rudykh S. Microscopic and macroscopic instabilities in hyperelastic fiber composites. Journal of the Mechanics and Physics of Solids 99(2017) 471–82.
 Slesarenko V, Rudykh S. Harnessing viscoelasticity and instabilities for tuning wavy patterns in soft layered composites. Soft Matter 12 (2016) 3677–82.
 Galich PI, Slesarenko V, Li J, Rudykh S. Elastic instabilities and shear waves in hyperelastic composites with various periodic fiber arrangements. International Journal of Engineering Science 130(2018) 51–61.
 Shim J, Shan S, Košmrlj A, Kang SH, Chen ER, Weaver JC, et al. Harnessing instabilities for design of soft reconfigurable auxetic/chiral materials. Soft Matter 9(2013) 8198–202.
 Florijn B, Coulais C, van Hecke M. Programmable Mechanical Metamaterials. Physical Review Letters 113(2014) 175503.
 Li J, Arora N, Rudykh S. Elastic instabilities, microstructure transformations, and pattern formations in soft materials. Current Opinion in Solid State and Materials Science 25(2021) 100898.
 Bertoldi K, Boyce MC. Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures. Physical Review B 77(2008) 052105.
 Tunable microstructure transformations and auxetic behavior in 3D-printed multiphase composites: The role of inclusion distribution. Composites Part B: Engineering 172(2019) 352–62.
 Bertoldi K, Boyce MC. Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations. Physical Review B 78(2008) 184107.
 Galich PI, Thomas E. Soft modes in nonlinear composites on the edge of elastic instability. Proc. of 26th International Congress on Sound and Vibration, (2019).
 Li J, Slesarenko V, Galich PI, Rudykh S. Instabilities and pattern formations in 3D-printed deformable fiber composites. Composites Part B: Engineering 148(2018) 114–22.
 Li J, Pallicity TD, Slesarenko V, Goshkoderia A, Rudykh S. Domain Formations and Pattern Transitions via Instabilities in Soft Heterogeneous Materials. Advanced Materials 31(2019) 1807309.
 Li J, Slesarenko V, Rudykh S. Microscopic instabilities and elastic wave propagation in finitely deformed laminates with compressible hyperelastic phases. European Journal of Mechanics, A/Solids 73 (2019) 126–36.
 Arora N, Li J, Slesarenko V, Rudykh S. Microscopic and long-wave instabilities in 3D fiber composites with non-Gaussian hyperelastic phases. International Journal of Engineering Science 157 (2020) 1034008.
 Bertoldi K. Harnessing Instabilities to Design Tunable Architected Cellular Materials. Annual Review of Materials Research 47(2017) 51–61.
 Samad Gadiwale, S. A. Kore. Analysis of Welded Joint Used in Pipeline Support Using Finite Element Method. IJETT International Journal of Mechanical Engineering 7.6(2020) 41-46.
 He Y, Zhou Y, Liu Z, Liew KM. Buckling and pattern transformation of modified periodic lattice structures. Extreme Mechanics Letters (2018) 112-21.
buckling; elastic instabilities; mechanical metamaterials; reconfiguration; structure