Comparative study of micro-scale size effects on mechanical coupling factors and SH-wave propagation in functionally graded piezoelectric/piezomagnetic structures

References

• Wang SS. Fracture mechanics for delamination problems in composite materials. J Compos Mater. 1983;17(3):210–223.
   Web of Science ®Google Scholar
• Shanmugavel P, Bhaskar GB, Chandrasekaran M, et al. An overview of fracture analysis in functionally graded materials. Euro J Sci Res. 2012;68(3):412–439.
   Google Scholar
• Atai AA, Nikranjbar A, Kasiri R. Buckling and post-buckling behaviour of semicircular functionally graded material arches: a theoretical study. Proc Inst Mech Eng Part C: J Mech Eng Sci. 2012;226:607–614.
   Web of Science ®Google Scholar
• Zelentsov VB, Lapina PA, Mitrin BI, et al. Characterization of the functionally graded shear modulus of a half-space. Mathematics. 2020;8:640–658.
   Web of Science ®Google Scholar
• Selvadurai APS, Singh BM, Vrbik JA. Reissner-Sagoci problem for a non-homogeneous elastic solid. J Elast. 1986;16:383–391.
   Web of Science ®Google Scholar
• Giannakopoulos AE, Suresh S. Indentation of solids with gradients in elastic properties: part I. Point force. Int J Solids Struct. 1997;34:2357–2392.
   Web of Science ®Google Scholar
• Giannakopoulos AE, Suresh S. Indentation of solids with gradients in elastic properties: part II. Axisymmetric indentors. Int J Solids Struct. 1997;34:2393–2428.
   Web of Science ®Google Scholar
• Selvadurai APS, Katebi A. Mindlin's problem for an incompressible elastic half-space with an exponential variation in the linear elastic shear modulus. Int J Eng Sci. 2013;65:9–21.
   Web of Science ®Google Scholar
• Tokovyy Y, Ma CC. An analytical solution to the three-dimensional problem on elastic equilibrium of an exponentially-inhomogeneous layer. J Mech. 2015;31:545–555.
   Web of Science ®Google Scholar
• Boxberger T, Picozzi M, Parolai S. Shallow geology characterization using Rayleigh and Love wave dispersion curves derived from seismic noise array measurements. J Appl Geophys. 2011;75:345–354.
   Web of Science ®Google Scholar
• Li XY, Wang ZK, Huang SH. Love waves in a functionally graded piezoelectric materials. Int J Solids Struct. 2004;41:7309–7328.
   Web of Science ®Google Scholar
• Du J, Jin X, Wang J, et al. Love wave propagation in functionally graded piezoelectric material layer. Ultrasonics. 2007;46(1):13–22.
   PubMed Web of Science ®Google Scholar
• Liu J, Cao XS, Wang ZK. Propagation of Love waves in a smart functionally graded piezoelectric composite structure. Smart Mater Struct. 2007;16:13–24.
   Web of Science ®Google Scholar
• Liu J, Cao XS, Wang ZK. Love waves in a smart functionally graded piezoelectric composite structure. Acta Mech. 2009;208(1–2):63–80.
   Web of Science ®Google Scholar
• Liu JX, Fang DN, Wei WY, et al. Love waves in layered piezoelectric/piezomagnetic structures. J Sound Vib. 2008;315:146–156.
   Web of Science ®Google Scholar
• Cao X, Jin F, Jeon I, et al. Propagation of Love waves in a functionally graded piezoelectric material layer (FGPM) layered composite system. Int J Solids Struct. 2009;46:4123–4132.
   Web of Science ®Google Scholar
• Du J, Xian K, Yong YK, et al. SH-SAW propagation in layered functionally graded piezoelectric material structures loaded with viscous liquid. Acta Mech. 2010;212(3–4):271–281.
   Web of Science ®Google Scholar
• Saroj PK, Sahu SA, Chaudhary S, et al. Love-type waves in functionally graded piezoelectric material (FGPM) sandwiched between initially stressed layer and elastic substrate. Waves Random Complex Media. 2015;25(4):608–627.
   Web of Science ®Google Scholar
• Pang Y, Liu YS, Liu JX, et al. Propagation of SH waves in an infinite/semi-infinite piezoelectric/piezomagnetic periodically layered structure. Ultrasonics. 2016;67:120–128.
   PubMed Web of Science ®Google Scholar
• Pang Y, Feng W, Liu JX, et al. SH wave propagation in a piezoelectric/piezomagnetic plate with an imperfect magnetoelectroelastic interface. SWaves Random Complex Media. 2018;29(3):580–594.
   Web of Science ®Google Scholar
• Ezzin H, Amor MB, Ghozlen MHB. Love wave propagation in a transversely isotropic piezoelectric layer on a piezomagnetic half-space. Ultrasonics. 2016;69:83–89.
   PubMed Web of Science ®Google Scholar
• Ezzin H, Amor MB, Ghozlen MHB. Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates. Acta Mechanica. 2017;228(3):1071–1081.
   Web of Science ®Google Scholar
• Nie G, Liu J, Liu X. Propagation behavior of two transverese surface waves in a three-layer piezoelectric/piezomagnetic structure. Waves Random Complex Media. 2017;27(4):637–663.
   Web of Science ®Google Scholar
• Sahu SA, Mondal S, Dewangan N. Polarized shear waves in functionally graded piezoelectric material layer sandwiched between corrugated piezomagnetic layer and elastic substrate. J Sandwich Struct Mater. 2019;21(8):2921–2948.
   Web of Science ®Google Scholar
• Sahu SA, Baroi J. Analysis of surface wave behavior in corrugated piezomagnetic layer resting on inhomogeneous half-space. Mech Adv Mater Struct. 2019;26(7):639–650.
   Web of Science ®Google Scholar
• Gupta S, Bhengra N. Study of the surface wave vibrations in a functionally graded material layered structure: a WKB method. Math Mech Solids. 2019;24(4):1204–1220.
   Web of Science ®Google Scholar
• Sharma V, Kumar S. Microstructural and viscous liquid loading effects on the propagation of love waves in a piezomagnetic structure. Mech Adv Mater Struct. 2019. doi:10.1080/15376494.2019.1702235.
   Web of Science ®Google Scholar
• Abd-alla A, Asker N. Numerical simulations for the phase velocities and the electromechanical coupling factor of the Bleustein-Gulyaev waves in some piezoelectric smart materials. Math Mech Solids. 2016;21(5):539–551.
   Web of Science ®Google Scholar
• George H, Hentschel E, Ilyin V, et al. Magnetomechanical coupling in thermal amorphous solids. Phys Rev B. 2018;97:174105.
   Google Scholar
• Cosserat E, Cosserat F. Théorie des corps déformables. Strasbourg: A. Hermann et fils; 1909.
   Google Scholar
• Eringen AC. Linear theory of micropolar elasticity. J Math Mech. 1966;15:909–923.
   Web of Science ®Google Scholar
• Mindlin RD, Tiersten HF. Effects of couple-stresses in linear elasticity. Arch Ration Mech Anal. 1962;11(1):415–448.
   Google Scholar
• Toupin RA. Elastic materials with couple-stresses. Arch Ration Mech Anal. 1962;11:385-–414.
   Web of Science ®Google Scholar
• Lakes RS, Benedict RL. Non-centrosymmetry in micropolar elasticity. Int J Eng Sci. 1982;20(10):1161–1167.
   Google Scholar
• Lakes RS. Experimental microelasticity of two porous solids. Int J Solids Struct. 1986;22(1):55–63.
   Web of Science ®Google Scholar
• Georgiadis HG, Velgaki EG. High-frequency Rayleigh waves in materials with micro-structure and couple-stress effects. Int J Solids Struct. 2003;40(10):2501–2520.
   Web of Science ®Google Scholar
• Midya GK. On Love-type surface waves in homogeneous micropolar elastic media. Int J Eng Sci. 2004;42(11–12):1275–1288.
   Web of Science ®Google Scholar
• Kaur T, Sharma SK, Singh AK. Influence of imperfectly bonded micropolar elastic half-space with non-homogeneous viscoelastic layer on propagation behavior of shear wave. Waves Random Complex Media. 2016;26(4):650–670.
   Web of Science ®Google Scholar
• Kundu S, Kumari A, Pandit DK, et al. Love wave propagation in heterogeneous micropolar media. Mech Res Commun. 2017;83:6–11.
   Web of Science ®Google Scholar
• Goyal R, Kumar S, Sharma V. A size dependent micropolar-piezoelectric layered structure for the analysis of love wave. Waves Random Complex Media. 2018;30(3):544–561. doi:10.1080/17455030.2018.1542186.
   Web of Science ®Google Scholar
• Chenlin L, Huili G, Xiaogeng T. Size-dependent effect on thermo-electro-mechanical responses of heated nano-sized piezoelectric plate. Waves Random Complex Media. 2019;29(3):477-–495.
   Web of Science ®Google Scholar
• Sharma V, Kumar S. Analysis of size dependency on Love type wave propagation in a functionally graded piezoelectric smart material. Math Mech Solids. 2020;25(8):1517–1533. doi:10.1177/1081286520909522.
   Web of Science ®Google Scholar
• Fatemi J, Keulen FV, Onck PR. Generalized continuum theories; application to stress analysis in bone. Meccanica. 2002;37(4-5):385–396.
   Web of Science ®Google Scholar
• Love AEH. Some problems in geodynamics. London: Cambridge University Press; 1911.
   Google Scholar
• Ristic VM. Principles of acoustic devices. New York: Wiley; 1983a. 198.
   Google Scholar
• Ristic VM. Principles of acoustic devices. New York: Wiley; 1983b. 47.
   Google Scholar
• Gauthier RD. Experimental investigation on micropolar media. Mech Micropolar Media World Science Singapore. p. 395–463. 1982.
   Google Scholar