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Mondal, Sonali; Sahu, Sanjeev A.; Nirwal, Sonal

Analysis of wave scattering on piezoelectric surface with flexoelectric effect. (English) Zbl 1527.35406

Math. Methods Appl. Sci. 45, No. 12, 7700-7714 (2022).

MSC:

35Q70 PDEs in connection with mechanics of particles and systems of particles
74J20 Wave scattering in solid mechanics

Keywords:

flexoelectric effect; microstructure; reflection; reflection coefficient
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Full Text: DOI

References:

[1] ChattopadhyayA. Wave reflection in triclinic crystalline medium. Arch Appl Mech. 2006;76:65‐74. · Zbl 1161.74411
[2] TomarSK, SinghSS. Plane SH‐waves at a corrugated interface between two dissimilar perfectly conducting self‐ reinforced elastic half‐spaces. Int J Num Anal Methods Geomech. 2006;30(6):455‐487. · Zbl 1140.74468
[3] SinghSS. Reflection and transmission of couple longitudinal waves at a plane interface between two dissimilar half‐spaces of thermo‐elastic materials with voids. Appl Math Comput. 2011;218(7):3359‐3371. · Zbl 1325.74076
[4] PaswanB, SahuSA, ChattopadhyayA. Reflection and transmission of plane wave through fluid layer of finite width sandwiched between two monoclinic elastic half‐spaces. Acta Mech. 2016;227(12):3687‐3701. · Zbl 1380.86012
[5] ModiC, KumariP, SharmaVK. Reflection/refraction of qP/qSV wave in layered self‐reinforced media. Appl Math Model. 2016;40(19‐20):8737‐8749. · Zbl 1471.86006
[6] LataP. Reflection and refraction of plane waves in layered nonlocal elastic and anisotropic thermoelastic medium. Struct Eng Mech. 2018;66(1):113‐124.
[7] SalahIB, WaliY, GhozlenMHB. Love waves in functionally graded piezoelectric materials by stiffness matrix method. Ultrasonics. 2011;51(3):310‐316.
[8] SinghB. Propagation of shear waves in a piezoelectric medium. Mech Advanced Mater Struct. 2013;20(6):434‐440.
[9] EzzinH, MkaoirM, AmorMB. Rayleigh wave behavior in functionally graded magneto‐electro‐elastic material. Superlattices Microstruct. 2017;112:455‐469.
[10] OthmaniC, TakaliF, NjehA. Investigating and modeling of effect of piezoelectric material parameters on shear horizontal (SH) waves propagation in PZT‐5H, PMN‐0.33 PT and PMN‐0.29 PT plates. Optik. 2017;148:63‐75.
[11] KuangZB, YuanXG. Reflection and transmission of waves in pyroelectric and piezoelectric materials. J Sound Vib. 2011;330(6):1111‐1120.
[12] VashishthAK, GuptaV. Reflection and transmission of plane waves from a fluid‐porous piezoelectric solid interface. J Acoust Soc Am. 2011;129(6):3690‐3701.
[13] YuanX, ZhuZH. Reflection and refraction of plane waves at interface between two piezoelectric media. Acta Mech. 2012;223(12):2509‐2521. · Zbl 1307.74034
[14] GuoX, WeiP, LiL, TangQ. Influences of mechanically and dielectrically imperfect interfaces on the reflection and transmission waves between two piezoelectric half spaces. Int J Solids Struct. 2015;63:184‐205.
[15] NirwalS, SahuSA, BaroiJ, SarojPK. Analysis of wave scattering in 3‐layer piezo composite structure [Pb [Zr x Ti1‐x] O3‐ALN‐Pb [Zr x Ti1‐x] O3]. Mech Based Des Struct Mach. 2019;49(3):307‐328.
[16] ZhuF, QianZH, WangB. Wave propagation in piezoelectric layered structures of film bulk acoustic resonators. Ultrasonics. 2016;67:105‐111.
[17] JiaoF, WeiP, LiL. Wave propagation through an inhomogeneous slab sandwiched by the piezoelectric and the piezomagnetic half spaces. Ultrasonics. 2017;73:22‐33.
[18] LiuC, YuJ, ZhangX, ZhangB, ElmaimouniL. Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures. Eur J Mech A Solids. 2020;81:103955. · Zbl 1476.74082
[19] EzzinH, WangB, QianZ. Propagation behavior of ultrasonic Love waves in functionally graded piezoelectric‐piezomagnetic materials with exponential variation. Mech Mater. 2020.
[20] HuangH, ZhuF, ZhuJ, WangB, QianZ. A general approach for dispersion relations in multilayered structures with an arbitrary number of piezoelectric layers and elastic layers. Acta Mech. 2020;231(2):489‐502.
[21] ZubkoP, CatalanG, TagantsevAK. Flexoelectric effect in solids. Annu Rev Mater Res. 2013:43.
[22] HuS, ShenS. Electric field gradient theory with surface effect for nano‐dielectrics. Comput Mater Contin. 2009;13(1):63.
[23] HuS, ShenS. Variational principles and governing equations in nano‐dielectrics with the flexoelectric effect. Sci China Phys Mech. 2010;53(8):1497‐1504.
[24] YangW, LiangX, ShenS. Love waves in layered flexoelectric structures. Philos Mag. 2017;97(33):3186‐3209.
[25] YangW, DengQ, LiangX, ShenS. Lamb wave propagation with flexoelectricity and strain gradient elasticity considered. Smart Mater Struct. 2018;27(8):085003.
[26] JiaoF, WeiP, LiY. Wave propagation in piezoelectric medium with the flexoelectric effect considered. J of Mech. 2019;35(1):51‐63.
[27] NirwalS, SahuSA, SinghalA, BaroiJ. Analysis of different boundary types on wave velocity in bedded piezo‐structure with flexoelectric effect. Compos B Eng. 2019;167:434‐447.
[28] JiaoF, WeiP, LiY. Wave propagation through a flexoelectric piezoelectric slab sandwiched by two piezoelectric half‐spaces. Ultrasonics. 2018;82:217‐232.
[29] JiaoF, WeiP, ZhouY, ZhouX. Wave propagation through a piezoelectric semiconductor slab sandwiched by two piezoelectric half‐spaces. Eur J Mech A Solids. 2019;75:70‐81. · Zbl 1472.74119
[30] GuoX, WeiP. Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces. Int J Solids Struct. 2014;51(21‐22):3735‐3751.
[31] FangHY, YangJS, JiangQ. Rotation sensitivity of waves propagating in a rotating piezoelectric plate. Int J Solids Struct. 2002;39(20):5241‐5251. · Zbl 1042.74024
[32] SinghB. Wave propagation in a prestressed piezoelectric half‐space. Acta Mech. 2010;211:337‐344. · Zbl 1204.74025
[33] YuanX, JiangQ, YangF. Wave reflection and transmission in rotating and stressed pyroelectric half‐planes. Appl Math Comput. 2016;289:281‐297. · Zbl 1410.74026
[34] OthmaniC, ZhangHLC, TakaliF. Effects of initial stresses on the electromechanical coupling coefficient of SH wave propagation in multilayered PZT‐5H structures. Eur Phys J Plus. 2019;134(11):551.
[35] OthmaniC, ZhangHLC, TakaliF. Effects of initial stresses on guided wave propagation in multilayered PZT‐4/PZT‐5A composites: a polynomial expansion approach. Appl Math Model. 2020;78:148‐168. · Zbl 1481.74070
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