Bending of multiferroic laminated rectangular plates with imperfect interlaminar bonding |
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| Authors: | W.Q. Chen Y.Y. Zhou C.F. Lü H.J. Ding |
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| Affiliation: | 1. Department of Engineering Mechanics, Yuquan Campus, Zhejiang University, Hangzhou 310027, PR China;2. State Key Lab of CAD & CG, Zijingang Campus, Zhejiang University, Hangzhou 310058, PR China;3. Department of Civil Engineering, Zijingang Campus, Zhejiang University, Hangzhou 310058, PR China;1. Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing 100048, China;2. Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China;1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China;2. School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China;3. MOE Key Laboratory for Multifunctional Materials and Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China;4. Department of Civil Engineering, Xi’an Jiaotong University, Xi’an, 710049, China;1. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia;2. Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan;3. Southwest Jiaotong University, School of Mechanical Engineering, Chengdu 610031, China;4. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, UMR 8208 CNRS, 5 Boulevard Descartes, 77454 Marne-la-Vallée Cedex 2, France |
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| Abstract: | ![]()
The bending problem of a multiferroic rectangular plate with magnetoelectric coupling and imperfect interfaces is investigated via three-dimensional exact theory. A generalized spring layer model is proposed to characterize the imperfection of the bonding behavior at interfaces. In particular, the linear relation between the electric displacement and the jump of electric potential, the corresponding one for the magnetic field as well as linear relations among different physical fields are adopted. State space formulations are established, which, compared to the analysis for perfect laminates, only introduces a so-called interfacial transfer matrix. The present analysis can be readily used for the piezoelectric, piezomagnetic and elastic laminates by setting the proper material constants as zero. Numerical results are presented and discussed. |
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