Propagation of electroacoustic waves in the transversely isotropic piezoelectric medium reinforced by randomly distributed cylindrical inhomogeneities
The propagation of electroacoustic waves in a piezoelectric medium containing a statistical ensemble of cylindrical fibers is considered. Both the matrix and the fibers consist of piezoelectric transversely isotropic material with symmetry axis parallel to the fiber axes. Special emphasis is given o...
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| Published in: | International journal of solids and structures Vol. 39; no. 19; pp. 5013 - 5051 |
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01-09-2002
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| Abstract | The propagation of electroacoustic waves in a piezoelectric medium containing a statistical ensemble of cylindrical fibers is considered. Both the matrix and the fibers consist of piezoelectric transversely isotropic material with symmetry axis parallel to the fiber axes. Special emphasis is given on the propagation of an electroacoustic axial shear wave polarized parallel to the axis of symmetry propagating in the direction normal to the fiber axis. The scattering problem of one isolated continuous fiber ('one-particle scattering problem') is considered. By means of a Green's function approach a system of coupled integral equations for the electroelastic field in the medium containing a single inhomogeneity (fiber) is solved in closed form in the long-wave approximation. The total scattering cross-section of this problem is obtained in closed form and is in accordance with the electroacoustic analogue of the optical theorem. The solution of the one-particle scattering problem is used to solve the homogenization problem for a random set of fibers by means of the self-consistent scheme of effective field method. Closed form expressions for the dynamic characteristics such as total cross-section, effective wave velocity and attenuation factor are obtained in the long-wave approximation. |
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| AbstractList | The propagation of electroacoustic waves in a piezoelectric medium containing a statistical ensemble of cylindrical fibers is considered. Both the matrix and the fibers consist of piezoelectric transversely isotropic material with symmetry axis parallel to the fiber axes. Special emphasis is given on the propagation of an electroacoustic axial shear wave polarized parallel to the axis of symmetry propagating in the direction normal to the fiber axis. The scattering problem of one isolated continuous fiber ('one-particle scattering problem') is considered. By means of a Green's function approach a system of coupled integral equations for the electroelastic field in the medium containing a single inhomogeneity (fiber) is solved in closed form in the long-wave approximation. The total scattering cross-section of this problem is obtained in closed form and is in accordance with the electroacoustic analogue of the optical theorem. The solution of the one-particle scattering problem is used to solve the homogenization problem for a random set of fibers by means of the self-consistent scheme of effective field method. Closed form expressions for the dynamic characteristics such as total cross-section, effective wave velocity and attenuation factor are obtained in the long-wave approximation. |
| Author | HUAJIAN GAO LEVIN, Valery M MICHELITSCH, Thomas M |
| Author_xml | – sequence: 1 givenname: Valery M surname: LEVIN fullname: LEVIN, Valery M organization: Division of Mechanics. Petrozavosk State University, Lenin Ave. 33, Petrozavodsk 185640, Russian Federation – sequence: 2 givenname: Thomas M surname: MICHELITSCH fullname: MICHELITSCH, Thomas M organization: Department of Theory of Mesoscopic Phenomena, Max-Planck Institute for Metals Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany – sequence: 3 surname: HUAJIAN GAO fullname: HUAJIAN GAO organization: Department of Theory of Mesoscopic Phenomena, Max-Planck Institute for Metals Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany |
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| Cites_doi | 10.1016/0022-5096(64)90019-5 10.1016/0022-5096(93)90031-A 10.1103/RevModPhys.23.287 10.1016/0020-7683(83)90073-2 10.1109/58.67833 10.1007/s004190000115 10.1016/0020-7683(94)90043-4 10.1109/58.184997 10.1016/0021-8928(96)00039-1 10.1016/0021-8928(92)90034-6 10.1080/00150198908221444 10.1016/0020-7683(92)90201-4 10.1016/S1369-7021(99)80007-8 10.1098/rspa.1994.0134 10.1109/58.31780 10.1016/0022-5096(63)90036-X 10.1016/S0020-7683(98)00131-0 10.1080/00150198108219625 10.1103/PhysRev.85.621 10.1117/12.432767 10.1121/1.409860 10.1016/S1359-6454(96)00090-0 10.1121/1.403699 10.1016/S0021-8928(00)00015-0 |
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