174
Views
0
CrossRef citations to date
0
Altmetric
Articles

An explicit formula for modeling wave propagation in magneto-electro-elastic materials

Pages 899-912 | Received 06 Jul 2017, Accepted 14 Nov 2017, Published online: 11 Dec 2017

References

  • Courant R, Hilbert D. Methods of mathematical physics. Vol. 2. New York (NY): Interscience; 1962.
  • Tikhonov AN, Samarskii AA. Equations of mathematical physics. London: Pergamon Press; 1963.
  • Vladimirov VS. Equations of mathematical physics. New York (NY): Marcel Dekker; 1971.
  • Duc NH, Giang DTH. Magnetic sensors based on piezoelectric-magnetostrictive composites. J Alloy Compd. 2008;449:214–218.
  • Bayrashev A, Robins WP, Ziaie B. Low frequency wireless powering of microsystems using piezoelectric-magnetostrictive laminate composite. Sensor Actuat A. 2004;114:244–249.
  • Vopsaroiu M, Blackburn J, Cain MG. A new magnetic recording read head technology based on the magnetoelectric effect J Phys D: Appl Phys. 2007;40:5027–5033.
  • Sebald G, Guyomar D, Agbossou A. On thermoelectric and pyroelectric energy harvesting Smart Mater Struct. 2009;18:125006 (7 pages).
  • Kim JY. Micromechanical analysis of effective properties of magneto-electro-thermo-elastic multilayer composites. Int J Eng Sci. 2011;49:1001–1018.
  • Aboudi J. Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites. Smart Mater Struct. 2001;10:867–877.
  • Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates. J Appl Mech T - ASME. 2001;68:608–618.
  • Buchanan GR. Layered versus multiphase magneto-electro-elastic composites. Compos Part B: Eng. 2004;35:413–420.
  • Abreu GL, Ribeiro JF, Steffen V. Finite element modeling of a plate with localized piezoelectric sensors and actuators. J Braz Soc Mech Sci Eng. 2004;26:117–128.
  • Pan E, Han F. Exact solution for functionally graded and layered magneto-electro-elastic plates. Int J Eng Sci. 2005;43:321–339.
  • Kapuria S, Achary GGS. Exact 3D piezoelasticity solution of hybrid cross-ply plates with damping under harmonic mechanical loads. J Sound Vib. 2005;282:617–634.
  • Ramirez F, Heyliger PR, Pan E. Free vibration response of two-dimensional magneto-electro-elastic laminated plates. J Sound Vib. 2006;292:626–644.
  • Chen J, Pan E, Chen H. Wave propagation in magneto-electro-elastic multilayered plates. Int J Solids Struct. 2007;44:1073–1085.
  • Liu JX, Fang DN, Wei WY, et al. Love waves in layered piezoelectric/piezomagnetic structures. J Sound Vib. 2008;315:146–156.
  • Huang DJ, Ding HJ, Chen WQ. Static analysis of anisotropic functionally graded magneto-electro-elastic beams subjected to arbitrary loading. Eur J Mech A/Solids. 2010;29:356–369.
  • Wu CP, Chen SJ, Chiu KH. Three static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method. Mech Res Commun. 2010;37:54–60.
  • Wu CP, Chiu KH, Jiang RY. A meshless collocation method for the coupled analysis of functionally graded piezo-thermo-elastic shells and plates under thermal loads. Int J Eng Sci. 2012;56:29–48.
  • Biju B, Ganesan N, Shankar K. Dynamic response of multiphase magneto-electro-elastic sensors using 3D magnetic vector potential approach. IEEE Sens J. 2011;11:2169–2176.
  • Chen H, Yu W. A multiphysics model for magneto-electro-elastic laminates. Eur J Mech A/Solids. 2014;47:23–44.
  • Chen J, Guo J, Pan E. Reflection and transmission of plane wave in multilayered nonlocal magneto-electro-elastic plates immersed in liquid. Compos Struct. 2016;162:401–410.
  • Giordano S, Goueygou M, Tiercelin N, et al. Magneto-electro-elastic effective properties of multilayered artificial multiferroics with arbitrary lamination direction. Int J Eng Sci. 2014;78:134–153.
  • Eerenstein W, Mathur ND, Scott JF. Multiferroic and magnetoelectric materials. Nature. 2006;442:759–765.
  • Fiebig M. Revival of the magnetoelectric effect. J Phys D: App Phys. 2005;38:R123–R152.
  • Nan CW, Bichurin MI, Dong S, et al. Multiferroic magnetoelectric composites: Historical perspective, status, and futuredirections. J App Phys. 2008;103:031101.
  • Ramesh R, Spaldin NA. Multiferroics: progress and prospects in thin films. Nat Mater. 2007;6:21–29.
  • Milton GW. The theory of composites. Cambridge: Cambridge University Press; 2004.
  • Torquato S. Random heterogeneous materials: microstructure and macroscopic properties. New York (NY): Springer-Verlag; 2002.
  • Challagulla KS, Georgiades AV. Micromechanical analysis of magneto-electro-thermo-elastic composite materials with applications to multilayered structures. Int J Eng Sci. 2011;49:85–104.
  • Bravo-Castillero J, Rodríguez-Ramos R, Mechkour H, et al. Homogenization of magneto-electro-elastic multilaminated materials. Quart J Mech Appl Math. 2008;61:311–332.
  • Sixto-Camacho LM, Bravo-Castillero J, Brenner R, et al. Asymptotic homogenization of periodic thermo-magneto-electro-elastic heterogeneous media. Comput Math Appl. 2013;66:2056–2074.
  • Giordano S. Explicit nonlinear homogenization for magneto-electro-elastic laminated materials. Mech Res Commun. 2014;55:18–29.
  • Gu ST, He QC. Compact closed-form micromechanical expressions for the effective uncoupled and coupled linear properties of layered composites. Philos Mag. 2015;95:2793–2816.
  • Evans J. Partial differential equations. AMS: Providence (RI); 2000.
  • Chen P, Shen Y. Propagation of axial shear magneto-electro-elastic waves in piezoelectric and piezomagnetic composites with randomly distributed cylindrical inhomogeneities. Int J Solids Struct. 2007;44:1511–1532.
  • Tsai YH, Wu CP. Dynamic responses of functionally graded magnetoelectro-elastic shells with open-circuit surface conditions. Int J Eng Sci. 2008;46:843–857.
  • Diaz RR, Saez A, Sanchez FG, et al. Time-harmonic Greens functions for anisotropic magnetoelectroelasticity. Int J Solids Struct. 2008;45:144–158.
  • Wang BL, Mai YM. Fracture of piezoelectromagnetic materials. Mech Res Commun. 2004;31:65–73.
  • Goldberg JL. Matrix theory with applications. New York (NY): McGrawHill International Editions; 1992.
  • Wang CY, Achenbach JD. Three-dimensional time-harmonic elastodynamic fundamental solutions for anisotropic solids. Proc Roy Soc London. 1995;A449:441–458.
  • Yakhno VG, Yaslan HC. Computation of the time-dependent fundamental solution for equations of elastodynamics in general anisotropic media. Comput Struct. 2011;89:646–655.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.