Localization of elastic waves in one-dimensional detuned phononic crystals with flexoelectric effect

References

• Sharma S, Kumar R, Vaish R. Universal converse flexoelectricity in dielectric materials via varying electric field direction. Int J Smart Nano Mater. 2021;12(1):107–128.
   Web of Science ®Google Scholar
• Kogan SM. Piezoelectric effect during inhomogeneous deformation and acoustic scattering of carriers in crystals. Soviet Physics-Solid State. 1964;5(10):2069–2070.
   Web of Science ®Google Scholar
• Harris P. Mechanism for the shock polarization of dielectrics. J Appl Phys. 1965;36(3):739–741.
   Google Scholar
• Mindlin RD, Gazis DC. Polarization gradient in elastic dielectrics. Int J Solids Struct. 1968;4(6):637–642.
   Google Scholar
• Askar A, Lee PCY, Cakmak AS. Lattice-dynamics approach to the theory of elastic dielectrics with polarization gradient. Phys Rev B. 1970;1(8):3525–3537.
   Web of Science ®Google Scholar
• Indenbom VL, Loginov EB, Osipov MA. The flexoelectric effect and the structure of crystals. Soviet Physics-Crystallography. 1981;26(6):656–658.
   Google Scholar
• Bursian EV, Trunov NN. Nonlocal piezoelectric effect. Soviet Physics-Solid State. 1974;16(4):760–762.
   Google Scholar
• Maranganti R, Sharma ND, Sharma P. Electromechanical coupling in nonpiezoelectric materials due to nanoscale nonlocal size effects: green’s function solutions and embedded inclusions. Phys Rev B. 2006;74(1):14110.
   Web of Science ®Google Scholar
• Hu SL, Shen SP. Electric field gradient theory with surface effect for nano-dielectrics. CMC-Computers, Materials & Continua. 2009;13(1):63–87.
   Web of Science ®Google Scholar
• Shen SP, Hu SL. A theory of flexoelectricity with surface effect for elastic dielectrics. J Mech Phys Solids. 2010;58(5):665–677.
   Web of Science ®Google Scholar
• Al-Furjan MSH, Safarpour H, Habibi M, et al. A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method. Eng. Comput.-Germany. 2022;38(1):801–818
   Web of Science ®Google Scholar
• Brillouin L. Wave propagation in periodic structures: electric filters and crystal lattices. Nature. 1946;158(4026):926.
   Google Scholar
• Martinez-Sale R, Sancho J, Sánchez J, et al. Sound-attenuation by sculpture. Nature. 1995;6554(378):241.
   Google Scholar
• Sigalas MM, Economou EN. Elastic and acoustic wave band structure. J Sound Vib. 1992;158(2):377–382.
   Web of Science ®Google Scholar
• Kushwaha M, Halevi P, Dobrzynski L, et al. Acoustic band structure of periodic elastic composites. Phys Rev Lett. 1993;71(13):2022–2025.
   PubMed Web of Science ®Google Scholar
• Liu ZY, Zhang XX, Mao YW. Locally resonant sonic materials. Science. 2000;289(5485):1734–1736.
   PubMed Web of Science ®Google Scholar
• Golub MV, Zhang CZ, Wang YS. SH-wave propagation and resonance phenomena in a periodically layered composite structure with a crack. J Sound Vib. 2011;330(13):3141–3154.
   Web of Science ®Google Scholar
• Benchabane S, Khelif A, Rauch JY, et al. Evidence for complete surface wave band gap in a piezoelectric phononic crystal. Phys Rev E. 2006;73(6):65601.
   Web of Science ®Google Scholar
• Hong T, Shen T, Yang J, et al. Sugar transfer of nanomaterials and flexible electrodes. Int J Smart Nano Mater. 2020;11(1):1–10.
   Web of Science ®Google Scholar
• Liu CC, Hu SL, Shen SP. Effect of Flexoelectricity on Band Structures of One-Dimensional Phononic Crystals. J Appl Mech. 2014;81(5):51007.
   Web of Science ®Google Scholar
• Yang WJ, Hu TT, Liang X. On band structures of layered phononic crystals with flexoelectricity. Arch Appl Mech. 2018;88(1):629–644
   Google Scholar
• Yang WJ, Liang X, Shen SP. Love waves in layered flexoelectric structures. Philos Mag. 2017;97(33):3186–3209.
   Web of Science ®Google Scholar
• Yang WJ, Deng Q, Liang X. Lamb wave propagation with flexoelectricity and strain gradient elasticity considered. Smart Mater Struct. 2018;27(8):85003.
   Web of Science ®Google Scholar
• Eliseev EA, Morozovska AN, Glinchuk MD, et al. Lost surface waves in nonpiezoelectric solids. Phys Rev B. 2017;96(4):45411.
   Web of Science ®Google Scholar
• Hu TT, Yang WJ, Liang X, et al. Wave propagation in flexoelectric microstructured solids. J Elasticity. 2018;130(2):197–210
   Web of Science ®Google Scholar
• Tahir SI, Tounsi A, Chikh A, et al. An integral four-variable hyperbolic HSDT for the wave propagation investigation of a ceramic-metal FGM plate with various porosity distributions resting on a viscoelastic foundation. Wave Random Complex. 2021:1–24. 10.1080/17455030.2021.1942310.
   Google Scholar
• Tahir SI, Chikh A, Tounsi A, et al. Wave propagation analysis of a ceramic-metal functionally graded sandwich plate with different porosity distributions in a hygro-thermal environment. Compos Struct. 2021;269:114030.
   Web of Science ®Google Scholar
• Al-Furjan MSH, Habibi M, Jung DW, et al. A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel. Eng Comput. 2022; 38: 1679–1696.
   Web of Science ®Google Scholar
• Mindlin RD. Polarization gradient in elastic dielectrics. Int J Solids Struct. 1968;4(6):637–642.
   Google Scholar
• Sharma ND, Landis CM, Sharma P. Piezoelectric thin-film superlattices without using piezoelectric materials. J Appl Phys. 2010;108(2):24304.
   Web of Science ®Google Scholar
• Hrytsyna O, Sladek J, Sladek V. The effect of micro-inertia and flexoelectricity on love wave propagation in layered piezoelectric structures. Nanomaterials. 2021;11(9):2270.
   Web of Science ®Google Scholar
• Sladek J, Sladek V, Repka M, et al. Flexoelectric effect in dielectrics under a dynamic load. Compos Struct. 2021;260:113528.
   Web of Science ®Google Scholar
• Sharma ND, Landis C, Sharma P. Erratum: piezoelectric thin-film super-lattices without using piezoelectric materials. J Appl Phys. 2012;111(5):59901.
   Web of Science ®Google Scholar
• Camley RE, Djafari-Rouhani B, Dobrzynski L. Transverse elastic waves in periodically layered infinite and semi-infinite media. Physical Review B. 1983;27(12):7318–7329.
   Web of Science ®Google Scholar
• Chen AL, Wang YS. Size-effect on band structures of nanoscale phononic crystals. Phys E Low Dimens Syst Nanostruct. 2011;44(1):317–321.
   Web of Science ®Google Scholar
• Castanier MP, Pierre C. Predicting localization via lyapunov exponent statistics. J Sound Vib. 1997;203(1):151–157.
   Web of Science ®Google Scholar
• Li FM, Wang YS. Study on wave localization in disordered periodic layered piezoelectric composite structures. Int J Solids Struct. 2005;42(24–25):6457–6474.
   Web of Science ®Google Scholar
• Li FM, Wang YS, Chen AL. Wave localization in randomly disordered periodic piezoelectric rods. Acta Mech Solida Sin. 2006;19(1):50–57
   Web of Science ®Google Scholar
• Li FM, Xu MQ, Wang YS. Frequency-dependent localization length of SH-wave in randomly disordered piezoelectric phononic crystals. Solid State Commun. 2007;141(5):296–301.
   Web of Science ®Google Scholar
• Yang W, Hu T, Liang X, et al. On band structures of layered phononic crystals with flexoelectricity. Arch Appl Mech. 2018;88(5):629–644.
   Web of Science ®Google Scholar
• Yang W, Liang X, Deng Q, et al. Rayleigh wave propagation in a homogeneous centrosymmetric flexoelectric half-space. Ultrasonics. 2020;103:106105.
   PubMed Web of Science ®Google Scholar
• Tamura S, Tanaka Y, Maris HJ. Phonon group velocity and thermal conduction in surlattices. Physical Review B. 1999;60(4):2627–2630
   Web of Science ®Google Scholar
• Castanier MP, Pierre C. Lyapunov exponents and localization phenomena in multi-coupled nearly periodic systems. J Sound Vib. 1995;183(3):493–515.
   Web of Science ®Google Scholar
• Anderson PW. Absence of Diffusion in Certain Random Lattices. Phys Rev. 1958;109(5):1492–1505.
   Web of Science ®Google Scholar