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Creep buckling and post-buckling analysis of the laminated piezoelectric viscoelastic functionally graded plates
Authors:YQ Mao  YM Fu  HL Dai
Institution:1. College of Mechanical and Vehicle Engineering, Hunan University, Hunan, Changsha 410082, PR China;2. Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, Changsha 410082, PR China;1. Department of Mechanical Engineering, Polytechnique Montréal, Montréal, QC H3C 3A7, Canada;2. Safran Tech, 78772 Magny-Les-Hameaux, France;1. Groupe de Mécanique, Matériaux et Acoustique, B.P. 454, Département de Physique, Faculté des Sciences, Université de Ngaoundéré, Cameroon;2. Research Center STIS, Team M2CS, Department of Applied Mathematics and Informatics, ENSET, Mohammed V University in Rabat, Morocco;3. Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;1. Research School of Engineering, Australian National University, Canberra, Australia;2. College of Civil Engineering, Nanjing Tech University, Nanjing, China;1. DICAM Department, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy;2. Gruppo COSMI, Via Teodorico, 7, 48122 Ravenna, Italy
Abstract:The creep buckling and post-buckling of the laminated piezoelectric viscoelastic functionally graded material (FGM) plates are studied in this research. Considering the transverse shear deformation and geometric nonlinearity, the Von Karman geometric relation of the laminated piezoelectric viscoelastic FGM plates with initial deflection is established. And then nonlinear creep governing equations of the laminated piezoelectric viscoelastic FGM plates subjected to an in-plane compressive load are derived on the basis of the elastic piezoelectric theory and Boltzmann superposition principle. Applying the finite difference method and the Newmark scheme, the whole problem is solved by the iterative method. In numerical examples, the effects of geometric nonlinearity, transverse shear deformation, the applied electric load, the volume fraction and the geometric parameters on the creep buckling and post-buckling of laminated piezoelectric viscoelastic FGM plates with initial deflection are investigated.
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