Abstract
This paper presents the effect of piezoelectric interphase thickness on the nonlinear behavior of multiphase magneto–electro–elastic (MMEE) fibrous composite plates. A layer-wise shear deformation theory has been considered for the kinematics of the MMEE plate integrated with the principle of virtual work in a three-dimensional finite element (FE) formulation. To incorporate the effect of piezoelectric interphase thickness on the nonlinear behavior of the plate, the multiphase fibrous composite substrate considered for the evaluation is consists of carbon fibers surrounded by a thin coating of piezoelectric fiber (PZT-7A) embedded in piezomagnetic (cobalt ferrite-CoFe2O4) matrix material. The influence of piezoelectric and piezomagnetic coupled fields on the stiffness and nonlinear behavior of MMEE (CoFe2O4/PZT-7A/Carbon) composites considerably varies with PZT-7A interphase thickness. Thus, the transient response, nonlinear frequency ratio, and nonlinear deflection of the structure remarkably changes. Besides, the variation of fiber/matrix volume fraction and interphase thickness exhibits tremendous influence on the nonlinear behavior of the MMEE fibrous composite plate. Further attention has been paid to investigate the influence of boundary conditions, aspect ratio, volume fraction, and coupled fields on the nonlinear behavior of the MMEE fibrous composite plate.
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References
Van den Boomgaard J, Born R (1978) A sintered magnetoelectric composite material BaTiO3-Ni (Co, Mn) Fe2O4. J Mater Sci 13(7):1538–1548
Van Run A, Terrell D, Scholing J (1974) An in situ grown eutectic magnetoelectric composite material. J Mater Sci 9(10):1710–1714
Hassanzadeh-Aghdam MK, Mahmoodi MJ, Ansari R (2016) Interphase effects on the thermo-mechanical properties of three-phase composites. Proc Inst Mech Eng Part C 230(19):3361–3371
Dinzart F, Sabar H (2011) Magneto-electro-elastic coated inclusion problem and its application to magnetic-piezoelectric composite materials. Int J Solids Struct 48(16):2393–2401
Kabel J, Hosemann P (2017) Micro-mechanical evaluation of SiC-SiC composite interphase properties and debond mechanisms. Compos B Eng 131:173–183
Bedi HS, Tiwari M, Agnihotri PK (2018) Quantitative determination of size and properties of interphase in carbon nanotube-based multiscale composites. Carbon 132:1525–1533
Wang B, Fang G, Liu S, Liang J (2019) Effect of heterogeneous interphase on the mechanical properties of unidirectional fiber composites studied by FFT-based method. Compos Struct 220:642–651
Lina R, Lénaïk B, Jean-François C, Yoann J (2018) Effect of interphase region on the elastic behavior of unidirectional glass fiber/epoxy composites. Compos Struct 198:109–116
Espinosa-Almeyda Y, Sabina FJ (2017) Influence of imperfect interface and fiber distribution on the antiplane effective magneto-electro-elastic properties for fiber-reinforced composites. Int J Solids Struct 112:155–168
Sudak LJ (2003) Effect of an interphase layer on the electro-elastic stresses within a three-phase elliptic inclusion. Int J Engg Sci 41:1019–1039
Jiang C, Cheung Y (2001) An exact solution for the three-phase piezoelectric cylinder model under anti-plane shear and its applications to piezoelectric composites. Int J Solids Struct 38(28):4777–4796
Shen L, Li J (2005) Homogenization of a fiber/sphere with inhomogeneous interphase for the effective elastic moduli of composites. Proc R Soc A 461:1475–1504
Espinosa-Almeyda Y, López-Realpozo JC, Rodríguez-Ramos R, Bravo-Castillero J, Guinovart-Díaz RH, Camacho-Montes B, Sabina FJ (2016) Effects of interface contacts on the magneto electro-elastic coupling for fiber reinforced composites. Int J Eng Sci 103:59–76
Hashemi R, Weng GJ, Kargarnovin MH, Shodja H (2010) Piezoelectric composites with periodic multicoated inhomogeneities. Int J Solids Struct 47(21):2893–2904
Hashemi R (2016) Magneto-electro-elastic properties of multiferroic composites containing a periodic distribution of general multi-coated inhomogeneities. Int J Eng Sci 103:59–76
Beckert W, Kreher W, Braue W, Ante M (2011) Effective properties of composites utilizing fibers with a piezoelectric coating. Int J Solids Struct 48:1525–1533
Aboudi J (2001) Micromechanical analysis of fully coupled electro-magneto-thermoelastic multiphase composites. Smart Mater Struct 10:867
Koutsawa Y, Belouettar S, Makradi A, Tiem S (2011) Generalization of the micro-mechanics’ multi-coating approach to coupled fields composite materials with eigen fields: effective properties. Mech Res Commun 38:45–51
Kim JY (2011) Micromechanical analysis of effective properties of magneto-electro-thermoelastic multilayer composites. Int J Eng Sci 49:1001–1018
Li JY, Dunn ML (1998) Micromechanics of magneto electro elastic composite materials: average fields and effective behavior. J Intell Mater Syst Struct 9:404–416
Challagulla KS, Georgiades AV (2011) Micromechanical analysis of magneto-electro-thermo-elastic composite materials with applications to multilayered structures. Int J Eng Sci 49:85–104
Hadjiloizi DA, Georgiades AV, Kalamkarov AL, Jothi S (2013) Micromechanical modeling of piezo-magneto-thermo-elastic composite structures: part I theory. Eur J Mech A Solids 39:298–312
Dai Q, Ng K (2012) Investigation of electromechanical properties of piezoelectric structural fiber composites with micromechanics analysis and finite element modeling. Mech Mater 53:29–46
Bakkali A, Azrar L, Ali AA (2013) Micromechanical modeling of magneto-electro-elastic composite materials with multicoated inclusions and functionally graded interphases. J Intell Mater Syst Struct 24(14):1754–1769
Tang T, Yu W (2007) A variational asymptotic micromechanics model for predicting conductivities of composite materials. J Mech Mater Struct 2:1813–1830
Tang T, Yu W (2008) Variational asymptotic micromechanics modeling of heterogeneous piezoelectric materials. Mech Mater 40:812–824
Yu W, Tang T (2007) Variational asymptotic method for unit cell homogenization of periodically heterogeneous materials. Int J Solids Struct 44:3738–3755
Yu W, Tang T (2007) A variational asymptotic micromechanics model for predicting thermoelastic properties of heterogeneous materials. Int J Solids Struct 44:7510–7525
Zhang Z, Wang X (2015) Effective multi-field properties of electro-magneto-thermo-elastic composites estimated by finite element method approach. Acta Mech Solida Sin 28(2):145–155
Dutta G, Panda SK, Mahapatra TR, Singh VK (2016) Electro-magneto-elastic response of laminated composite plate: a finite element approach. Int J Appl Comput Math 3:2573–2592
Vinyas M, Kattimani SC (2017) Static analysis of stepped functionally graded magneto-electro- elastic plates in thermal environment: a finite element study. Compos Struct 178:63–86
Vinyas M, Kattimani SC (2018) Finite element evaluation of free vibration characteristics of magneto-electro-elastic rectangular plates in hygrothermal environment using higher-order shear deformation theory. Compos Struct 202:1339–1352
Vinyas M, Kattimani S, Harursampath D, Trung NT (2013) Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment. Smart Struct and Syst 24(2):267–292
Lin Y, Sodano HA (2008) Concept and model of a piezoelectric structural fiber for multifunctional composites. Compos Sci Technol 68:1911–1918
Fang XQ, Huang MJ, Liu JX (2014) Feng WJ Dynamic effective property of piezoelectric composites with coated piezoelectric nano-fibers. Compos Sci Technol 98:79–85
Vinyas M, Sunny KK, Harursampatha D, Nguyen-Thoic T, Lojae MAR (2019) Influence of interphase on the multi-physics coupled frequency of three phase smart magneto-electro-elastic composite plates. Compos Struct 226:111254
Vinyasa M (2019) Interphase effect on the controlled frequency response of three-phase smart magneto-electro elastic plates embedded with active constrained layer damping: FE study. Mater Res Express 6:125707
Sladek J, Sladek V, Krahulec S, Pan E (2013) The MLPG analysis of large deflections of magnetoelectroelastic plates. Eng Anal Bound Elem 37:673–682
Alaimo A, Benedetti I, Milazzo A (2013) A finite element formulation for large deflection of multilayered magneto-electro-elastic plates. Compos Struct 107:643–653
Milazzo A (2013) Large deflection of magneto-electro-elastic laminated plates. Appl Math Model. https://doi.org/10.1016/j.apm.2013.08.034
Chen J, Chen H, Pan E, Heyliger PR (2007) Modal analysis of magneto-electro-elastic plates using the state vector approach. J Sound Vib 304:722–734
Shooshtari A, Razavi S (2015) Nonlinear vibration analysis of rectangular magneto-electro-elastic thin plates. IJE Trans A 28(1):136–144
Zhou Y, Zhu J (2016) Vibration and bending analysis of multiferroic rectangular plates using third-order shear deformation theory. Compos Struct 153:712–723
Kattimani SC, Ray MC (2014) Smart damping of geometrically nonlinear vibrations of magneto-electro-elastic plates. Compos Struct 114:51–63
Chen H, Yu W (2014) A multiphysics model for magneto-electro-elastic laminates. Eur J Mech A/Solids 47:23–44
Farajpour A, Hari Yzdi MR, Ratgoo A, Loghmani M, Mohammadi M (2016) Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates. Compos Struct 140:323–336
Kattimani SC, Ray MC (2014) Active control of large amplitude vibrations of smart Magneto-electro-elastic doubly curved shells. Int J Mech Mater Des. https://doi.org/10.1007/s10999-014-9252-3
Kattimani SC (2017) Geometrically nonlinear vibration analysis of multiferroic composite plates and shells. Compos Struct 163:185–194
Kattimani SC, Ray MC (2014) Vibration control of multiferroic fibrous composite plates using active constrained layer damping. Mech Syst Signal Process 106:334–354
Kattimani SC, Ray MC (2014) Active control of large amplitude vibrations of smart magneto–electro–elastic doubly curved shells. Int J Mech Mater Des 10:351–378. https://doi.org/10.1007/s10999-014-9252-3
Wang X, Zhou Y, Zheng X (2002) A generalized variational model of magneto-thermo-elasticity for nonlinearly magnetized ferroelastic bodies. Int J Eng Sci 40:1957–1973
Ansari R, Gholamib R, Rouhic H (2019) Geometrically nonlinear free vibration analysis of shear deformable magneto-electro-elastic plates considering thermal effects based on a novel variational approach. Thin-Walled Struct 135:12–20
Zhang XL, Xua Q, Zhaob X, Lia YH, Yanga J (2020) Nonlinear analyses of magneto-electro-elastic laminated beams in thermal environments. Compos Struct 234:111524
Haghgoo M, Mohammad-Kazem HA, Ansari R (2018) Effect of piezoelectric interphase on the effective magneto-electro-elastic properties of three-phase smart composites: a micromechanical study. Mech Adv Mater Struct 26:1935–1950
Haghgoo M, Ansari R, Hassanzadeh-Aghdam MK, Darvizeh A (2019) Fully coupled thermo-magneto-electro-elastic properties of unidirectional smart composites with a piezoelectric interphase. Proc Inst Mech Eng Part C 233(8):2813–2829
Kattimani SC (2017) Active damping of multiferroic composite plates using 1–3 piezoelectric composites. Smart Mater Struct 26(12):125021
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Kattimani, S. Effect of Piezoelectric Interphase Thickness on Nonlinear Behavior of Multiphase Magneto–Electro–Elastic Fibrous Composite Plate. J. Vib. Eng. Technol. 9, 1533–1555 (2021). https://doi.org/10.1007/s42417-021-00312-y
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DOI: https://doi.org/10.1007/s42417-021-00312-y