Dynamic potentials and Green’s functions of a quasi-plane magneto-electro-elastic medium with inclusion

International Journal of Engineering Science - Tập 44 - Trang 540-553 - 2006
Peng Chen1, Yapeng Shen1, Xiaogeng Tian1
1MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, PR China

Tài liệu tham khảo

Bracke, 1981, A broadband magneto-electric transducer using a composite material, Int. J. Electron., 51, 255, 10.1080/00207218108901330 Avellaneda, 1994, Magneto-electric effect in piezoelectric/magnetostrictive multiplayer (2–2) composites, J. Intell. Mater. Syst. Struct., 5, 501, 10.1177/1045389X9400500406 Nan, 1994, Magneto-electric effect in composites of piezoelectric and piezomagnetic phases, Phys. Rev. B, B50, 6082, 10.1103/PhysRevB.50.6082 Benveniste, 1995, Magneto-electric effect in fibrous composites with piezoelectric and piezomagnetic phases, Phys. Rev. B, B51, 16424, 10.1103/PhysRevB.51.16424 Fiebig, 2005, Revival of the magnetoelectric effect, J. Phys. D: Appl. Phys., 38, R123, 10.1088/0022-3727/38/8/R01 Huang, 1997, The analysis of piezoelectric/piezomagnetic composite materials containing an ellipsoidal inclusion, J. Appl. Phys., 81, 1378, 10.1063/1.363874 Huang, 1998, Magneto-electro-elastic Eshelby tensors for a piezoelectric–piezomagnetic composite reinforced by ellipsoidal inclusions, J. Appl. Phys., 83, 5364, 10.1063/1.367365 Li, 1998, Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior, J. Intell. Mater. Syst. Struct., 7, 404, 10.1177/1045389X9800900602 Li, 1998, Anisotropic coupled field inclusion and inhomogeneity problems, Philos. Mag., 77, 1341, 10.1080/01418619808214256 Pan, 2002, Three-dimensional Green’s function in an-isotropic magneto-electro-elastic bi-materials, Z. Angew. Math. Phys., 53, 815, 10.1007/s00033-002-8184-1 Wang, 2002, The general solution of three-dimensional problems in magneto-electro-elastic media, Int. J. Eng. Sci., 40, 1069, 10.1016/S0020-7225(02)00006-X Liu, 2001, Green’s functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack, Int. J. Eng. Sci., 39, 1405, 10.1016/S0020-7225(01)00005-2 Ding, 2005, Green’s functions for two-phase transversely isotropic magneto-electro-elastic media, Eng. Anal. Bound. Elem., 29, 551, 10.1016/j.enganabound.2004.12.010 Du, 2004, Scattering of anti-plane shear waves by a partially debonded magneto-electro-elastic circular cylindrical inhomogeneity, Int. J. Eng. Sci., 42, 887, 10.1016/j.ijengsci.2003.07.010 Zhou, 2005, The dynamic behavior of two collinear interface cracks in magneto-electro-elastic materials, Eur. J. Mech. A—Solids, 24, 253, 10.1016/j.euromechsol.2004.10.006 Feng, 2005, Crack growth of an interface crack between two dissimilar magneto-electro-elastic materials under anti-plane mechanical and in-plane electric magnetic impact, Theor. Appl. Fract. Mech., 43, 376, 10.1016/j.tafmec.2005.03.008 Talbot, 1983, Variational estimates for dispersion and attenuation of waves in random composites III, Int. J. Solids Struct., 19, 793, 10.1016/0020-7683(83)90073-2 Bigoni, 2005, Time-harmonic Green’s function and boundary integral formulation for incremental nonlinear elasticity: dynamics of wave patterns and shear bands, J. Mech. Phys. Solids, 53, 1163, 10.1016/j.jmps.2004.11.007 Wang, 2005, On the solution of the dynamic Eshelby problem for inclusions of various shapes, Int. J. Solids Struct., 42, 353, 10.1016/j.ijsolstr.2004.06.042 Wang, 2003, Two-dimensional time-harmonic dynamic Green’s functions in transversely isotropic piezoelectric solids, Mech. Res. Commun., 30, 589, 10.1016/S0093-6413(03)00095-8 Norris, 1994, Dynamic Green’s functions in anisotropic piezoelectric, thermoelastic and poroelastic solids, Proc. R. Soc. London A, 447, 175, 10.1098/rspa.1994.0134 Michelitsch, 2002, Dynamic potentials and Green’s functions of a quasi-plane piezoelectric medium with inclusion, Proc. R. Soc. London A, 458, 2393, 10.1098/rspa.2002.0979 Wang, 2003, Dynamic fiber inclusions with elliptical and arbitrary cross-sections and related retarded potentials in a quasi-plane piezoelectric medium, Int. J. Solids Struct., 40, 6307, 10.1016/S0020-7683(03)00419-0 Berlincourt, 1964, Piezoelectric and piezomagnetic materials and their function in transducers, Phys. Acoust., 1, 169, 10.1016/B978-1-4832-2857-0.50009-5 Ma, 2000, 306 Levin, 2002, Propagation of electroacoustic waves in the transversely isotropic piezoelectric medium reinforced by randomly distributed cylindrical inhomogeneities, Int. J. Solids Struct., 39, 5013, 10.1016/S0020-7683(02)00401-8 Mura, 1987