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Dynamic effective property of fibrous piezoelectric composites with spring- or membrane-type imperfect interfaces |
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| Affiliation: | 1. Faculty of Materials Science & Chemical Engineering, and Department of Physics, Ningbo University, Ningbo 315211, China;2. Ningbo Institute of Materials Technology & Engineering, Chinese Academy of Sciences, Ningbo 315201, China;3. Zhejiang Key Lab on Magnetic Materials, China Jiliang University, Hangzhou 310018, China;1. Mechanical Engineering Department, United States Naval Academy, 590 Hollway Road, Annapolis, MD, 21402, United States;2. United States Navy, United States;3. Army Research Laboratory, 2800 Powder Mill Rd, Adelphi, MD 20783, United States;1. Department of Applied Mathematics and Science, Khalifa University of Science and Technology, Abu Dhabi, United Arab Emirates;2. Departamento de Ingeniería Mecánica, Universidad de Chile, Beauchef 851, Santiago Centro, Santiago, Chile;3. Department of Continuum Mechanics and Structures, Escuela deIngenieros de Caminos, Universidad Politecnica de Madrid, 28040 Madrid, Spain;1. Department of Civil Engineering, Shanxi University, Taiyuan 030013, China;2. Department of Engineering Mechanics, Beijing University of Technology, Beijing 100124, China |
| Abstract: | The present paper studies the dynamic effective property of piezoelectric composites embedded with cylindrical piezoelectric fibers under anti-plane harmonic electro-elastic waves. By using the dynamic generalized self-consistent method (DGSM) of electro-elastic coupling wave, the problem of randomly distributed cylindrical fibers in a piezoelectric medium can be analyzed in terms of a representative volume element with a coated fiber embedded in an equivalent effective medium. The interfaces between the fibers and the matrix are assumed to be imperfect which are here modeled as spring- or membrane-type interfaces. Through wave function expansion method and an iterative method, the effective piezoelectrically stiffened shear modulus and the effective wave number are obtained. Examples are conducted to verify the present solutions and to illustrate the dependence of the effective piezoelectrically stiffened shear modulus on the wave number (frequency) as well as the interface properties. The special size effect related to interfacial imperfection is also discussed. |
| Keywords: | Dynamic effective property Piezoelectric composites Spring-type interface Membrane-type interface Size effect |
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