Abstract
We compare the dispersion curves and mode shapes in magneto-electro-elastic laminated composites with different layering directions. We use the generalized pseudo-Stroh formulation and propagator matrix approach to investigate the wave characteristics of the piezoelectric and piezomagnetic laminates with the layering direction either along y-axis or z-axis. The polarization direction of the piezoelectric and piezomagnetic materials [001] is along z-axis. In particular, both BaTiO3/CoFe2O4/BaTiO3 and BaTiO3/Terfenol-D/BaTiO3 sandwich composites are considered in the numerical example and the wave characteristics of the Lamb wave and SH wave are computed. Differences of the dispersion curves and the mode shapes of the sandwich plates show the important role of the layering direction. The decoupling feature of the Lamb wave and SH wave is consistent with that of the static case if the layering direction is along y-axis, but different from the static case when the layering direction is along z-axis.
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References
Abdolhoseyni, J., Danesh, M.: Sound transmission loss of a sandwich functionally graded cylindrical shell integrated with magneto-electro-elastic patches. J. Sound Vib. 543, 117350 (2023)
Alshits, V.I., Darinskii, A.N., Lothe, L.: On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties. Wave Motion 16, 265–283 (1992)
Calas, H., Otero, J.A., Rodriguez-Ramos, R., Monsivais, G., Stern, C.: Dispersion relations for SH wave in magneto-electro-elastic heterostructures. Int. J. Solids Struct. 45, 5356–5367 (2008)
Chen, J., Chen, H., Pan, E., Heyliger, P.R.: Modal analysis of magneto-electro-elastic plates using the state-vector approach. J. Sound Vib. 304, 722–734 (2007)
Chen, J., Guo, J., Pan, E.: Wave propagation in magneto-electro-elastic multilayered plates with nonlocal effect. J. Sound Vib. 400, 550–563 (2017)
Ebrahimi, F., Barati, M.R.: Static stability analysis of smart magneto-electro-elastic heterogeneous nanoplates embedded in an elastic medium based on a four-variable refined plate theory. Smart Mater. Struct. 25, 105014 (2014)
Engdahl, G.: Handbook of giant magnetostrictive materials. Academic Press, San Diego (2000)
Ke, L.-L., Wang, Y.-S., Yang, J., Kitipornchai, S.: The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells. Smart Mater. Struct. 23, 125036 (2014)
Kiran, M.C., Kattimani, S.C.: Free vibration and static analysis of functionally graded skew magneto-electro-elastic plate. Smart Struct. Syst. 21, 493–519 (2018)
Kuo, H.-Y., Bhattacharya, K.: Fibrous composites of piezoelectric and piezomagnetic phases. Mech. Mater. 60, 159–170 (2013)
Kuo, H.-Y., Kuo, Y.-M.: Magnetoelectricity in multiferroic particulate composites with arbitrary crystallographic orientation. Smart Mater. Struct. 21, 105038 (2012)
Kuo, H.-Y., Slinger, A., Bhattacharya, K.: Optimization of magnetoelectricity in piezoelectric-magnetostrictive bilayers. Smart Mater. Struct. 19, 125010 (2010)
Kuo, H.Y., Wang, Y.-H.: Wave motion of magneto-electro-elastic laminated plates with membrane-type interfacial imperfections. Comp. Struct. 293, 115661 (2022)
Kuo, H.-Y., Wei, K.-H.: Free vibration of multiferroic laminated composites with interface imperfections. Acta Mech. 233, 3699–3717 (2022)
Lan, M., Wei, P.: Band gap of piezoelectric/piezomagnetic phononic crystal with graded interlayer. Acta Mech. 225, 1779–1794 (2014)
Li, Y., Zhang, J.: Free vibration analysis of magnetoelectroelastic plate resting on a Pasternak foundation. Smart Mater. Struct. 23, 025002 (2014)
Nan, C.W., Li, M., Huang, J.H.: Calculations of giant magnetoelectric effects in ferroic composites of rare-earth-iron alloys and ferroelectric polymers. Phys. Rev. B 63, 144415–144419 (2001)
Ngak, F.P.E., Ntamack, G.E., Azrar, L.: Dynamic analysis of multilayered magnetoelectroelastic plates based on a pseudo-Stroh formalism and Lagrange polynomials. J. Int. Mat. Syst. Struct. 30, 939–962 (2019)
Othmani, C., Khelfa, T.: Effect of graded pre-stress on the propagation of guided waves in functionally graded piezoelectric–piezomagnetic materials. Mech. Res. Commun. 127, 104037 (2023)
Pan, E.: Exact solution for simply supported and multilayered magneto-electro-elastic plates. ASME J. Appl. Mech. 68, 608–618 (2001)
Pan, E., Heyliger, P.R.: Free vibrations of simply supported and multi-layered magneto-electro-elastic plates. J. Sound Vib. 252, 429–442 (2002)
Pan, E., Waksmanski, N.: Deformation of a layered magnetoelectroelastic simply-supported plate with nonlocal effect, an analytical three-dimensional solution. Smart Mater. Struct. 25, 095013 (2016)
Pang, Y., Feng, W., Liu, J., Zhang, C.: SH wave propagation in a piezo-electric/piezomagnetic plate with an imperfect magnetoelectroelastic interface. Waves Random Complex Media 29, 580–594 (2019)
Qian, Z., Jin, F., Wang, Z., Kishimoto, K.: Dispersion relations for SH-wave propagation in periodic piezoelectric composite layered structures. Int. J. Eng. Sci. 42, 673–689 (2004)
Rajak, B.P., Kundu, S., Gupta, S.: Analysis of shear wave in a FGPE/FGPM structure with imperfect magneto-electro elastic bounding interface. Waves Random Complex Media (2022). https://doi.org/10.1080/17455030.2022.2078012
Sirimontree, S., Thongchom, C., Saffari, P. R., Refahati, N., Saffari, P. R., Jearsiripongkul, T., Keawsawasvong S. Effects of thermal environment and external mean flow on sound transmission loss of sandwich functionally graded magneto-electro-elastic cylindrical nanoshell. Eur. J. Mech.-A/Solids 97:104774 (2023)
Sladek, J., Sladek, V., Krahulee, S., Pan, E.: Analyses of functionally graded plates with a magnetoelectroelastic layer. Smart Mater. Struct. 22, 035003 (2013)
Vinyas, M.: Computational analysis of smart magneto-electro-elastic materials and structures: review and classification. Arch. Comput. Methods Eng. 28, 1205–1248 (2021)
Waksmanski, N., Pan, E.: An analytical three-dimensional solution for free vibration of a magneto-electro-elastic plate considering the nonlocal effect. J. Intell. Mater. System Struct. 28, 1501–1513 (2017)
Zhou, Y.Y., Lu, C.F., Chen, W.Q.: Bulk wave propagation in layered piezomagnetic/piezoelectric plates with initial stresses or interface imperfections. Compos. Struct. 94, 2736–2745 (2012)
Zhu, F., Wang, B., Qian, Z.H.: A numerical algorithm to solve multivariate transcendental equation sets in complex domain and its application in wave dispersion curve characterization. Acta Mech. 230, 1303–1321 (2019)
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The work was supported by the Ministry of Science and Technology Taiwan under Grant No.: MOST 109-2628-E-009-002-MY3.
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Kuo, HY., Yang, LH., Huang, PC. et al. Wave characteristics in magneto-electro-elastic laminated composites with different layering directions. Acta Mech 234, 4467–4485 (2023). https://doi.org/10.1007/s00707-023-03611-5
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DOI: https://doi.org/10.1007/s00707-023-03611-5