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Flexure analysis of circular elastic layers bonded between rigid plates
Affiliation:1. The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, 310027, China;2. Guangzhou Chen Fang Info Tech Ltd, Guangzhou, China;3. MEMSound Pte Ltd, Singapore;1. NC State University, Department of Nuclear Engineering, Raleigh, NC 27695, USA;2. Oak Ridge National Laboratory, Reactor and Nuclear Systems, Oak Ridge, TN 37381, USA;1. Mechanics and Aerospace Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario M5S 3G8, Canada;2. Department of Mechanical and Aerospace Engineering, Rutgers University, New Brunswick, NJ 08903, USA
Abstract:
An elastic layer of circular cross-section which is bonded between rigid plates and subjected to pure bending moment is analyzed through a theoretical approach. Based on two kinematic assumptions, the governing equations for the two horizontal displacement functions are established from the equilibrium equations. The horizontal displacements are then solved by satisfying the stress boundary conditions in the elastic layer. Through these solved displacements, the vertical stress in the elastic layer, the shear stress on the bonding surfaces, and the tilting stiffness of the bonded layer are derived in closed-forms and are also compared with the results of finite element analysis.
Keywords:
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