11 July 2002 Modeling of the dynamic effective characteristics of fiber-reinforced transversely isotropic piezoelectric materials
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Abstract
So far the modeling of the effective material characteristics of piezocomposites was mainly studied in the framework of statics. Due to the increasing need of piezocomposites for dynamic applications, e.g. as transducers or ultrasonic applications, the modeling of the dynamic effective material characteristics has become highly desirable. To this end the electroacoustic wave propagation in a piezoelectric medium reinforced by a statistical ensemble of cylindrical fibers is considered. Both, the matrix and the fiber material is assumed to be piezoelectric with transversely isotropic symmetry with symmetry axes parallel to the fiber axes. In this model system for a fiber reinforced piezocomposite, special emphasis is given to the propagation of an electroacoustic axial shear wave polarized parallel to the axis of symmetry propagating in the direction normal to the fiber axis. Using the solution of the scattering problem for one isolated fiber the homogenization problem for a piezoelectric medium containing a random set of fibers is performed in the framework of a self consistent scheme of the effective field method. Closed form expressions for the dynamic characteristics as total cross section, electroelastic moduli, effective wave velocity, effective wave vector and attenuation factor are obtained in the long-wave approximation.
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Valery M. Levin, Valery M. Levin, Thomas M. Michelitsch, Thomas M. Michelitsch, Huajian Gao, Huajian Gao, } "Modeling of the dynamic effective characteristics of fiber-reinforced transversely isotropic piezoelectric materials", Proc. SPIE 4699, Smart Structures and Materials 2002: Active Materials: Behavior and Mechanics, (11 July 2002); doi: 10.1117/12.474965; https://doi.org/10.1117/12.474965
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