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Research Article

Band gaps of thermoelastic waves in 1D phononic crystal with fractional order generalized thermoelasticity and dipolar gradient elasticity

ORCID Icon, , , &
Received 27 Jun 2022, Accepted 02 May 2023, Published online: 09 Jun 2023

References

  • Kushwaha MS, Halevi P, Dobrzynski L, et al. Acoustic band structure of periodic elastic composites. Phys Rev Lett. 1993;71:2022–2025.
  • Yang S, Page J, Liu Z, et al. Focusing of sound in a 3D phononic crystal. Phys Rev Lett. 2004;93:024301.
  • Qiu C, Liu Z, Shi J, et al. Directional acoustic source based on the resonant cavity of two-dimensional phononic crystals. Appl Phys Lett. 2005;86:224105.
  • Lu MH, Feng L, Chen YF. Phononic crystals and acoustic metamaterials. Mater Today. 2009;12:34–42.
  • Pang Y, Jiao FY, Liu JX. Propagation behavior of elastic waves in one-dimensional piezoelectric/piezomagnetic phononic crystal with line defects. Acta Mech Sinica. 2014;30:703–713.
  • Sun JZ, Wei PJ. Band gaps of 2D phononic crystal with imperfect interface. Mech Adv Mater Struct. 2014;21:107–116.
  • Yan P, Jérôme OV, Bahram DR, et al. Two-dimensional phononic crystals: examples and applications. Surf Sci Rep. 2010;65(8):229–291.
  • Zhao YP, Wei PJ. The band gap of 1D viscoelastic phononic crystal. Comp Mater Sci. 2009;46:603–606.
  • Zhao YP, Wei PJ. The influence of viscosity on band gaps of 2D phononic crystal. Mech Adv Mater Struct. 2010;17:383–392.
  • Zhan ZQ, Wei PJ. Influences of anisotropy on band gaps of 2D phononic crystal. Acta Mech Solida Sin. 2010;23:182–188.
  • Zhan ZQ, Wei PJ. Band gaps of three-dimensional phononic crystal with anisotropic spheres. Mech Adv Mater Struct. 2014;21:245–254.
  • Fomenko SI, Golub MV, Zhang C, et al. In-plane elastic wave propagation and band-gaps in layered functionally graded phononic crystals. Int J Solids Struct. 2014;51(13):2491–2503.
  • Wang YZ, Li FM, Kishimoto K, et al. Elastic wave band gaps in magnetoelectroelastic phononic crystals. Wave Motion. 2009;46:47–56.
  • Wang YZ, Li FM, Kishimoto K, et al. Band gaps of elastic waves in three-dimensional piezoelectric phononic crystals with initial stress. Eur J Mech A-Solids. 2010;29:182–189.
  • Lan M, Wei PJ. Laminated piezoelectric phononic crystal with imperfect interfaces. J Appl Phys. 2012;111:013505.
  • Lan M, Wei PJ. Band gap of piezoelectric/piezomagnetic phononic crystal with graded interlayer. Acta Mech. 2014;225:1779–1794.
  • Mindlin RD, Tiersten HF. Effects of couple stress in linear elasticity. Arch Ration Mech Anal. 1962;11:415–448.
  • Toupin RA. Elastic materials with couple stresses. Arch Ration Mech Anal. 1962;11:385–414.
  • Eringen AC. Nonlocal continuum field theories. Berlin: Springer; 2001.
  • Eringen AC. Linear theory of micropolar elasticity. J Math Mech. 1966;15:909–924.
  • Eringen AC. Mechanics of micromorphic materials. In: Görtler H, editor. Proceedings of XI. international congress of applied mechanics. New York: Springer; 1964. p. 131–138.
  • Mindlin RD. Micro-structure in linear elasticity. Arch Ration Mech Anal. 1964;16:51–78.
  • Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys. 1983;9(54):4703–4710.
  • Aifantis EC. On the role of gradients in the localization of deformation and fracture. Int J Eng Sci. 1992;10(30):1279–1299.
  • Altana SB, Aifantis EC. On the structure of the mode III crack-tip in gradient elasticity. Scr Metall Mater. 1992;2(26):319–324.
  • Ru CQ, Aifantis EC. A simple approach to solve boundary-value problems in gradient elasticity. Acta Mech. 1993;03(101):59–68.
  • Lazar M, Maugin GA. Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. Int J Engi Sci. 2005;43(13):1157–1184.
  • Yang F, Chong ACM, Lam DCC, et al. Couple stress based strain gradient theory for elasticity. Int J Solids Struct. 2002;39(10):285–296.
  • Georgiadis HG. The mode III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis. ASME J Appl Mech. 2003;70:517–530.
  • Georgiadis HG, Vardoulakis I, Velgaki EG. Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity. J Elasticity. 2004;74:17–45.
  • Gourgiotis PA, Georgiadis HG, Neocleous I. On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity. Wave Motion. 2013;50:437–455.
  • Li YQ, Wei PJ. Reflection and transmission of plane waves at the interface between two different dipolar gradient elastic half-spaces. Int J Solids Struct. 2015;56-57:194–208.
  • Li YQ, Wei PJ. Reflection and transmission through a microstructured slab sandwiched by two half-spaces. Eur J Mech A-Solid. 2016;57:1–17.
  • Li YQ, Wei PJ. Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity. Acta Mech. 2016;227:1005–1023.
  • Li YQ, Wei PJ. Reflection and transmission of elastic waves at five possible interfaces between two dipolar gradient elastic half-spaces. Acta Mech Sinica. 2017;33:1–16.
  • Li YQ, Wei PJ, Tang QH. Reflection and transmission of elastic waves at the interface between two gradient-elastic solids with surface energy. Eur J Mech A-Solid. 2015;52:54–71.
  • Shugaev MV, Zhigilei LV. Thermoelastic modeling of laser-induced generation of strong surface acoustic waves. J Appl Phys. 2021;130:185108-1–185108-10.
  • Lord HW, Shulman YA. Generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15:299–309.
  • Green AE, Lindsay KA. Thermoelasticity. J Elast 1972;2:1–7.
  • Green AE, Naghdi PM. On thermodynamics and the nature of the second law. Proc R Soc Lond A. 1977;357:253–270.
  • Green AE, Naghdi PM. Re-examination of the basic postulates of thermomechanics. Proc R Soc. Lond. A. 1991;432:171–194.
  • Green A E, Naghdi PM. Thermoelasticity without energy dissipation. J Elast. 1993;31:189–208.
  • Chandrasekharaiah DS. Hyperbolic thermoelasticity: a review of recent literature. Appl. Mech. Rev. 1998;51(12):705–730.
  • Kumar R. Wave propagation in a microstretch thermoelastic diffusion solid. An St Univ Ovidius Constanta. 2015;3(1):127–169.
  • Li YQ, Wei PJ. Reflection and transmission of thermo-elastic waves without energy dissipation at the interface of two dipolar gradient elastic solids. J Acous Soc America. 2018;143(1):550–562.
  • Li YQ, Li L, Wei PJ, et al. Reflection and refraction of thermoelastic waves at an interface of two couple-stress solids based on Lord-Shulman thermoelastic theory. Appl Math Model. 2018;55:536–550.
  • Li YQ, Wei PJ, Wang CD. Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound. Math Mech Solids. 2019;24(1):235–257.
  • Li YQ, Wei PJ. Propagation of thermo-elastic waves at several typical interfaces based on the theory of dipolar gradient elasticity. Acta Mech Solid Sinica. 2018;31(2):229–242.
  • Wu Y, Yu KP, Li X, et al. Generalized thermoelastic wave band gaps in phononic crystals without energy dissipation. J Phys D: Appl Phys. 2016;49((1-13)):025502.
  • Hosseini SM, Zhang CZ. Band structure analysis of Green-Naghdi-based thermoelastic wave propagation in cylindrical phononic crystals with energy dissipation using a meshless collocation method. Int J Mech Sci. 2021;209(1-17):106711.
  • Li CL, Guo HL, Tian XG, et al. Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent. J Therm Stresses. 2019;42:1051–1070.
  • Li CL, Guo HL, Tian XG, et al. Generalized thermoelastic diffusion problems with fractional order strain. Eur J Mech A-Solid. 2022;78:103827.
  • Li CL, Tian XG, He TH. New insights on piezoelectric thermoelastic coupling and transient thermo-electromechanical responses of multi-layered piezoelectric laminated composite structure. Eur. J Mech A-Solid. 2022;91:104416.
  • Bouazza M, Benseddiq N. Analytical modeling for the thermoelastic buckling behavior of functionally graded rectangular plates using hyperbolic shear deformation theory under thermal loadings. Multidiscip Model Mater Struct. 2015;11(4):558–577.
  • Atmane HA, Bedia EAA, Bouazza M, et al. On the thermal buckling of simply supported rectangular plates made of a sigmoid functionally graded Al/Al2O3 based material. Mech Solids. 2016;51(2):177–187.
  • Bouazza M, Tounsi A, Adda-Bedia EA, et al. Stability analysis of functionally graded plates subject to thermal loads. Berlin: Springer-Verlag; 2011. p. 669–680.
  • Bouazza M, Tounsi A, Adda-Bedia EA, et al. Thermal buckling of simply supported FGM square plates. Appl Mech Mater. 2011;61:25–32.
  • Bouazza M, Boucheta A, Becheri T, et al. Thermal stability analysis of functionally graded plates using simple refined plate theory. Int J Automot Mech Eng. 2017;14(1):4013–4029.
  • Derbale A, Bouazza M, Benseddiq N. Analysis of the mechanical and thermal buckling of laminated beams by new refined shear deformation theory. Iran J Sci Technol Trans Civ Eng. doi:10.1007/s40996-020-00417-6,(2020)
  • Ellali M, Bouazza M, Amara K. Thermal buckling of a sandwich beam attached with piezoelectric layers via the shear deformation theory. Arch Appl Mech. 2022;92:657–665.
  • Bouazza M, Zenkour AM. Hygro thermal environmental effect on free vibration of laminated plates using nth-order shear deformation theory. Waves Random Complex Media. 2021;doi:10.1080/17455030.2021.1909173.
  • Sahnoun M, Ouinas D, Benderdouche N, et al. Hygrothermal effect on stiffness reduction modeling damage evolution in cross-Ply composite laminates. Adv Mat Res. 2013;629:79–84.
  • Bouazza M, Zenkour AM. Hygro-thermo-mechanical buckling of laminated beam using hyperbolic refined shear deformation theory. Compos Struct. 2020;252:112689.
  • Ellali M, Bouazza M. Impact of micromechanical approaches on wave propagation of FG plates via indeterminate integral variables with a hyperbolic secant shear model. Int J Comput Methods. 2022;2250019:1–20.
  • Zheng M, Wei PJ. Band gaps of elastic waves in 1-D phononic crystals with imperfect interfaces. Int J Mine Metall Mater. 2009;16(5):608–614.

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