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Nonlinear bending behavior of 3D braided rectangular plates subjected to transverse loads in thermal environments
Authors:Zhi-Min Li  Ping Zhu  Zhong-Qin Lin
Affiliation:1.School of Mechanical Engineering,Shanghai Jiao Tong University,Shanghai,People’s Republic of China;2.State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai,People’s Republic of China
Abstract:
Nonlinear bending behavior of 3D braided rectangular plates subjected to transverse loads is investigated. A new micro-macro-mechanical model of unit cells is suggested. In this model, a 3D braided composite may be considered as a cell system and the geometry of each cell is deeply dependent on its position in the cross-section of the plate. The material properties of the epoxy are expressed as a linear function of temperature. Based on Reddy’s higher-order shear deformation plate theory and general von Kármán-type equations, analytical solutions for nonlinear bending behavior of simply supported 3D braided rectangular plates are obtained using mixed Galerkin-perturbation method. The numerical examples concern effects of geometric parameters, of fiber volume fraction, braiding angle and load boundary condition.
Keywords:
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