A theoretical study of the coupling effects in piezoelectric ceramics |
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| Affiliation: | 1. Center for Composite Materials and Department of Mechanical Engineering, University of Delaware, Newark, DE 19716, USA;2. Department of Ceramic and Material Engineering and Center for Ceramic Research, Rutgers, The State University of New Jersey, Piscataway, NJ 08855, USA;1. School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran;2. Faculty of Engineering, University of Imam Ali, P.O. Box 131789-3471, Tehran, Iran;1. State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, People’s Republic of China;2. University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China;1. Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei, Anhui 230026, China;2. School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei, Anhui 230009, China;1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | The objective of this study is to delineate electro-mechanical coupling in piezoceramic materials. The model system investigated is a two-dimensional linear piezoceramic strip polarized in the thickness direction, and it is subjected to local symmetric pressures on the upper and lower edges, traction-free boundary conditions on both end surfaces, and voltages on portions of the upper and lower edges. Under a simplifying assumption of the gradient of the electric potential, closed form solutions of the elastic field have been obtained. It is noticed that instead of the nine constants (including the elastic compliance constants, si j, the piezoelectric constants, di j, and the dielectric permittivity constants, εi j) , the elastic and piezoelectric characteristics of the material can be represented by three parameters, β1, β2 and β3. β1 consists of elastic compliance constants only. β2 and β3 signify the piezoelectric effect. Furthermore, higher values of β2 imply a more pronounced piezoelectric effect on the elastic field. The identification of these parameters greatly facilitates the study of coupling effects in piezoelectric ceramics. |
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