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Fracture analysis on a piezoelectric sensor with a viscoelastic interface
Authors:Yong-Dong Li  Kang Yong Lee
Affiliation:1. Department of Mechanical Engineering, Academy of Armored Force Engineering, No. 21, Du Jia Kan, Chang Xin Dian, Beijing 100072, PR China;2. School of Mechanical Engineering, Yonsei University, Seoul 120-749, Republic of Korea;1. Advanced Composites Centre for Innovation and Science, University of Bristol, University Walk, BS8 1TR, Bristol, United Kingdom;2. Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Università di Roma, Via Eudossiana 18, 00184 Rome, Italy;1. Institute of Chemical Physics, University of Latvia, Riga, 19 Raina Blvd., LV 1586, Latvia;2. Department of Chemistry, University of Latvia, Riga, 1 Jelgavas Str., LV 1004, Latvia;3. CRANN & AMBER, Trinity College Dublin, Dublin 2, Ireland;4. Department of Chemistry and Tyndall National Institute, University College Cork, Cork, Ireland;1. Department of Civil Engineering, The University of Hong Kong, Hong Kong, China;2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;1. Department of Mechanical Engineering, Academy of Armored Force Engineering, No. 21, Du Jia Kan, Feng Tai District, Beijing 100072, PR China;2. Department of Mechanical Engineering, Armor Technique Institute, No. 1, Huayuan Road, Changchun 130117, PR China
Abstract:Fracture analysis is performed on a layered piezoelectric sensor possessing a Kelvin-type viscoelastic interface. An electrically permeable anti-plane crack is situated in the piezoelectric layer and perpendicular to the interface. The crack problem is solved by the methods of integral transform and Cauchy singular integral equation. The variations of the dynamic stress intensity factor (DSIF) vs. physical and geometrical parameters are investigated. At the beginning of creep and relaxation, larger viscosity coefficient always induces smaller DSIF. With time elapsing, the effect of viscosity coefficient becomes weaker and weaker. When time approaches infinity, the viscous effect disappears, and the DSIF converges to a value corresponding to the case of an elastic interface. The effect of the viscoelastic interface on the fracture behavior of the piezoelectric layer also depends on the substrate thickness. To some extent, thicker substrate may intensify the effect of the interface.
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