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Experimental Mechanics
Erschienen in: Experimental Mechanics 1/2019

01.11.2018

Hybrid Split Hopkinson Pressure Bar to Identify Impulse-dependent Wave Characteristics of Viscoelastic Phononic Crystals

verfasst von: A. Haque, R. F. Ghachi, W. I. Alnahhal, A. Aref, J. Shim

Erschienen in: Experimental Mechanics | Ausgabe 1/2019

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Abstract

There has recently been a rising interest in the nonlinear wave transmission behavior of phononic crystals. However, experimental studies focusing on the nonlinear wave transmission behavior of phononic crystals have been predominantly performed on 1-D granular crystals using customized impact apparatus. In this study, we explore split Hopkinson pressure bar (SHPB) apparatus as a tool to study the nonlinear wave characteristics of a 1-D continuum viscoelastic phononic crystal. In order to resolve experimental challenges relating to signal-to-noise ratios and input impulse magnitudes, we propose a hybrid SHPB system composed of an aluminum input bar and a nylon output bar. For a considered viscoelastic phononic crystal, the application of the hybrid SHPB apparatus enabled us to observe some low transmission frequency zones, which were not identified from the linearly perturbed settings such as the analytical solution and the electrodynamic shaker tests. We further conducted a series of additional FE simulations to ensure the appearance of impulse-dependent low transmission frequency zones of the considered viscoelastic phononic crystal specimen. The additional sets of simulations evidently illustrate the impulse-dependent evolution of wave transmission coefficients, and demonstrate that the impulse-dependent wave transmission behavior can be experimentally investigated by adopting the hybrid SHPB apparatus. Thus, this study shows that the conventional SHPB apparatus can be employed effectively to study the emerging research field of nonlinear wave characteristics of phononic crystals.
Vorheriger Artikel Analysis of the Influence of the Thickness and the Hole Radius on the Calibration Coefficients in the Hole-Drilling Method for the Determination of Non-uniform Residual Stresses
Nächster Artikel Residual Stresses in Cu/Ni Multilayer Thin Films Measured Using the Sin2ψ Method

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Literatur
1.
Kushwaha MS, Halevi P, Dobrzynski L, Djafari-Rouhani B (1993) Acoustic band structure of periodic elastic composites. Phys Rev Lett 71(13):2022–2025CrossRef
2.
Sigalas M, Economou E (1993) Band structure of elastic waves in two dimensional systems. Solid State Commun 86(3):141–143CrossRef
3.
Boechler N, Yang J, Theocharis G, Kevrekidis PG, Daraio C (2011) Tunable vibrational band gaps in one-dimensional diatomic granular crystals with three-particle unit cells. J Appl Phys 109(7):074906CrossRef
4.
Bousfia A, El Boudouti EH, Djafari-Rouhani B, Bria D, Nougaoui A, Velasco VR (2001) Omnidirectional phononic reflection and selective transmission in one-dimensional acoustic layered structures. Surf Sci 482-485(2):1175–1180CrossRef
5.
Cao WW, Qi WK (1995) Plane wave propagation in finite composites. J Appl Phys 78(7):4627–4632CrossRef
6.
Manzanares-Martinez B, Sanchez-Dehesa J, Hakansson A, Cervera F, Ramos-Mendieta F (2004) Experimental evidence of omnidirectional elastic bandgap in finite one-dimensional phononic systems. Appl Phys Lett 85(1):154–156CrossRef
7.
Liang B, Yuan B, Cheng JC (2009) Acoustic diode: Rectification of acoustic energy flux in one-dimensional systems. Phys Rev Lett 103(10)
8.
Liang B, Guo XS, Tu J, Zhang D, Cheng JC (2010) An acoustic rectifier. Nat Mater 9(12):989–992CrossRef
9.
Ma C, Parker RG, Yellen BB (2013) Optimization of an acoustic rectifier for unidirectional wave propagation in periodic mass-spring lattices. J Sound Vib 332(20):4876–4894CrossRef
10.
Saini G, Pezeril T, Torchinsky DH, Yoon J, Kooi SE, Thomas EL, Nelson KA (2011) Pulsed laser characterization of multicomponent polymer acoustic and mechanical properties in the sub-ghz regime. J Mater Res 22(3):719–723CrossRef
11.
Casadei F, Bertoldi K (2014) Harnessing fluid-structure interactions to design self-regulating acoustic metamaterials. J Appl Phys 115(3):034907CrossRef
12.
Policarpo H, Neves MM, Ribeiro AMR (2010) Dynamical response of a multi-laminated periodic bar: Analytical, numerical and experimental study. Shock Vib 17(4–5):521–535CrossRef
13.
Yan-Lin W, Ming-Wen C, Zi-Dong W (2011) Study on band gap structure of one dimensional phononic crystals. In: Jiang Z, Han J, Liu X (eds) New Materials and Advanced Materials, vol 152-153. Trans Tech Publications, Zurich, Switzerland, pp 1696–1699
14.
Hayashi T, Morimoto Y, Serikawa M, Tokuda K, Tanaka T (1983) Experimental study on cut-off phenomenon for layered composite. Bulletin of JSME 26(211):23–29CrossRef
15.
Robinson CW, Leppelmeier GW (1974) Experimental verification of dispersion relations for layered composites. J Appl Mech 41(1):89–91CrossRef
16.
Manktelow K, Narisetti RK, Leamy MJ, Ruzzene M (2013) Finite-element based perturbation analysis of wave propagation in nonlinear periodic structures. Mech Syst Signal Process 39(1–2):32–46CrossRef
17.
Narisetti RK, Ruzzene M, Leamy MJ (2011) A perturbation approach for analyzing dispersion and group velocities in two-dimensional nonlinear periodic lattices. J Vib Acoust 133(6):061020CrossRef
18.
Narisetti RK, Ruzzene M, Leamy MJ (2012) Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach. Wave Motion 49(2):394–410MathSciNetMATHCrossRef
19.
Ahsan Z, Jayaprakash KR (2016) Evolution of a primary pulse in the granular dimers mounted on a linear elastic foundation: an analytical and numerical study. Phys Rev E 94(4):043001CrossRef
20.
Ganesh R, Gonella S (2014) Invariants of nonlinearity in the phononic characteristics of granular chains. Phys Rev E 90(2):023205CrossRef
21.
Daraio C, Nesterenko V, Herbold E, Jin S (2005) Strongly nonlinear waves in a chain of teflon beads. Phys Rev E 72(1):016603CrossRef
22.
Daraio C, Nesterenko V, Herbold E, Jin S (2006) Tunability of solitary wave properties in one-dimensional strongly nonlinear phononic crystals. Phys Rev E 73(2, 2):026610CrossRef
23.
Herbold EB, Kim J, Nesterenko VF, Wang SY, Daraio C (2009) Pulse propagation in a linear and nonlinear diatomic periodic chain: effects of acoustic frequency band-gap. Acta Mech 205(1–4):85–103MATHCrossRef
24.
Yang J, Daraio C (2013) Frequency- and amplitude-dependent transmission of stress waves in curved one-dimensional granular crystals composed of diatomic particles. Exp Mech 53(3):469–483CrossRef
25.
Marechal P, Lenoir O, Khaled A, MEC EK, Chenouni D (2014) Viscoelasticity effect on a periodic plane medium immersed in water. Acta Acustica united with Acustica 100(6):1036–1043CrossRef
26.
Mukherjee S, Lee E (1978) Dispersion relations and mode shapes for waves in laminated viscoelastic composites by variational methods. Int J Solids Struct 14(1):1–13MATHCrossRef
27.
Babaee S, Wang P, Bertoldi K (2015) Three-dimensional adaptive soft phononic crystals. J Appl Phys 117(24):244903CrossRef
28.
Mousanezhad D, Babaee S, Ghosh R, Mahdi E, Bertoldi K, Vaziri A (2015) Honeycomb phononic crystals with self-similar hierarchy. Phys Rev B 92(10):104304CrossRef
29.
Bergstrom J, Boyce M (1998) Constitutive modeling of the large strain time-dependent behavior of elastomers. Journal of the Mechanics and Physics of Solids 46:931–954MATHCrossRef
30.
Shim JS, Mohr D (2011) Rate dependent finite strain constitutive model of polyurea. Int J Plast 27:868–886MATHCrossRef
31.
Yeoh O (1993) Some forms of the strain energy function for rubber. Rubber Chem Technol 66:754–771CrossRef
32.
Brinson HF, Brinson LC (2008) Polymer Engineering Science and Viscoelasticity: An Introduction. Springer Science+Business Media, New YorkCrossRef
33.
Winter HH, Mours M (2006) The cyber infrastructure initiative for rheology. Rheol Acta 45(4):331–338CrossRef
34.
Charalambides MN, Wanigasooriya L, Williams JG, Goh SM, Chakrabarti S (2006) Large deformation extensional rheology of bread dough. Rheol Acta 46(2):239–248CrossRef
35.
Miller K (1999) Constitutive model of brain tissue suitable for finite element analysis of surgical procedures. J Biomech 32(5):531–537CrossRef
36.
ABAQUS (2012) ABAQUS Standard Analysis User's Manual Version 6.12. Pawtuchet
37.
Collet M, Ouisse M, Ruzzene M, Ichchou MN (2011) Floquet-bloch decomposition for the computation of dispersion of two-dimensional periodic, damped mechanical systems. Int J Solids Struct 48(20):2837–2848CrossRef
38.
Farzbod F, Leamy MJ (2011) Analysis of bloch's method in structures with energy dissipation. J Vib Acoust 133(5):051010CrossRef
39.
Sprik R, Wegdam GH (1998) Acoustic band gaps in composites of solids and viscous liquids. Solid State Commun 106(2):77–81CrossRef
40.
41.
Andreassen E, Jensen JS (2013) Analysis of phononic bandgap structures with dissipation. J Vib Acoust 135(4):041015CrossRef
42.
43.
Naciri T, Navi P, Granacher O (1990) On harmonic wave propagation in multilayered viscoelastic media. Int J Mech Sci 32(3):225–231MATHCrossRef
44.
Tanaka K, Kon-No A (1980) Harmonic viscoelastic waves propagating normal to the layers of laminated media. Bulletin of JSME 23(181):1092–1099MathSciNetCrossRef
45.
Ashcroft NW, Mermin ND (1976) Solid State Physics. Saunders College, PhiladelphiaMATH
46.
Bo Y, Yingren Z, Xiud L (2015) Discussion on dynamic numerical simulation for earthquake of immersed tunnel at seabed. The Open Civil Engineering Journal 9(1):773–782CrossRef
47.
Mendes N, Lourenco PB (2010) Seismic assessment of masonry “gaioleiro” buildings in lisbon, portugal. J Earthq Eng 14(1):80–101CrossRef
48.
Shim J, Mohr D (2009) Using split hopkinson pressure bars to perform large strain compression tests on polyurea at low, intermediate and high strain rates. International Journal of Impact Engineering 36(9):1116–1127CrossRef
49.
Feng RX, Liu KX (2012) Tuning of band-gap of phononic crystals with initial confining pressure. Chinese Physics B 21(12):126301CrossRef
50.
Feng RX, Liu KX (2012) Tuning the band-gap of phononic crystals with an initial stress. Phys B Condens Matter 407(12):2032–2036CrossRef
51.
O'Brien D, Mather P, White S (2001) Viscoelastic properties of an epoxy resin during cure. J Compos Mater 35:883–904CrossRef
52.
Gary G, Klepaczko J, Zhao H (1995) Generalization of split hopkinson bar technique to use viscoelastic bars. International Journal of Impact Engineering 16:529–530CrossRef
53.
Wang LL, Labibes K, Azari Z, Pluvinage G (1994) Generalization of split hopkinson bar technique to use viscoelastic bars. International Journal of Impact Engineering 15(5):669–686CrossRef
54.
Chen W, Zhang B, Forrestal MJ (1999) A split hopkinson bar technique for low-impedance materials. Exp Mech 39(2):81–85CrossRef
55.
Pervin F, Chen WW (2009) Dynamic mechanical response of bovine gray matter and white matter brain tissues under compression. J Biomech 42(6):731–735CrossRef
56.
Ahonsi B, Harrigan JJ, Aleyaasin M (2012) On the propagation coefficient of longitudinal stress waves in viscoelastic bars. International Journal of Impact Engineering 45:39–51CrossRef
57.
Othman R (2014) On the use of complex young's modulus while processing polymeric kolsky hopkinson bars' experiments. International Journal of Impact Engineering 73:123–134CrossRef
58.
Bacon C (1998) An experimental method for considering dispersion and attenuation in a viscoelastic hopkinson bar. Exp Mech 38(4):242–249CrossRef
59.
Lundberg B, Blanc R (1988) Determination of mechanical material properties from the two-points response of an impacted linearly viscoelastic rod specimen. J Sound Vib 126:97–108CrossRef
60.
Graff KF (1991) Wave Motion in Elastic Solids. Dover Publications, New YorkMATH
61.
Halvorsen WG, Brown DL (1977) lmpulse technique for structural frequency response testing. Sound and Vibration 11(11):8–18
62.
Wickramarachi P (2003) Effects of windowing on the spectral content of a signal. Sound and Vibration 37(1):10–11
63.
Fujikawa M, Takashi M (2003) Prony series approximation with generalized maxwell model based on collocation method. Japanese Society of Experimental Mechanics 3(4):278–284
64.
Nuruzzaman DM, Chowdhury MA (2012) Effect of normal load and sliding velocity on friction coefficient of aluminum sliding against different pin materials. American Journal of Materials Science 2(1):26–31CrossRef
65.
Kagan VA, Weitzel SP (2002) Smart structure and integrated system: reinforced nylon and aluminum self-tapping screws. International Body Engineering Conference & Exhibition and Automotive & Transportation Technology Congress, Paris
66.
Avallone EA, Baumeister T III (2006) Marks' Standard Handbook for Mechanical Engineers, 11th edn. McGraw-Hill Professional Publishing, New York City
67.
68.
Booser ER (1983) CRC Handbook of Lubrication: Application and Maintenance. CRC Publications, Boca Raton
69.
Moran J, Sucharitakul T (2015) Variations in dry sliding friction coefficients with velocity
70.
Cook CE (1960) Pulse compression-key to more efficient radar transmission. Proceedings of the Institute of Radio Engineers 48(3):310–316
71.
Klauder JR, Price AC, Darlington S, Albersheim WJ (1960) The theory and design of chirp radars. Bell Syst Tech J 39(4):745–808CrossRef
72.
Gerlach R, Kettenbeil C, Petrinic N (2012) A new split hopkinson tensile bar design. International Journal of Impact Engineering 50(1):63–67CrossRef
73.
Mohr D, Gary G (2007) M-shaped specimen for the high-strain rate tensile testing using a split hopkinson pressure bar apparatus. Exp Mech 47(5):681–692CrossRef
74.
Duffy J, Campbell JD, Hawley RH (1971) On the use of a torsional split hopkinson bar to study rate effects in 1100-0 aluminum. J Appl Mech 38(1):83–91CrossRef
75.
Xue Q, Shen LT, Bai YL (1995) A modified split hopkinson torsional bar in studying shear localization. Meas Sci Technol 6(11):1557–1565CrossRef
76.
Trexler MM, Lennon AM, Wickwire AC, Harrigan TP, Luong QT, Graham JL, Maisano AJ, Roberts JC, Merkle AC (2011) Verification and implementation of a modified split hopkinson pressure bar technique for characterizing biological tissue and soft biosimulant materials under dynamic shear loading. J Mech Behav Biomed Mater 4(8):1920–1928CrossRef
Metadaten
Titel
Hybrid Split Hopkinson Pressure Bar to Identify Impulse-dependent Wave Characteristics of Viscoelastic Phononic Crystals
verfasst von
A. Haque
R. F. Ghachi
W. I. Alnahhal
A. Aref
J. Shim
Publikationsdatum
01.11.2018
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 1/2019
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-018-00441-8

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