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Buckling of 2D FG Porous unified shear plates resting on elastic foundation based on neutral axis
Faculty
Engineering
Year:
2022
Type of Publication:
ZU Hosted
Pages:
Authors:
Rabab Ahmed Ali Ahmed AbuShanab
Staff Zu Site
Abstract In Staff Site
Journal:
Steel and Composite Structures Technopress
Volume:
Keywords :
Buckling , , , Porous unified shear plates resting
Abstract:
The critical buckling loads and buckling modes of bi-directional functionally graded porous unified higher order shear plate with elastic foundation are investigated. A mathematical model based on neutral axis rather than midplane is developed in comprehensive way for the first time in this article. The material constituents form ceramic and metal are graded through thickness and axial direction by the power function distribution. The voids and cavities inside the material are proposed by three different porosity models through the thickness of plate. The constitutive parameters and force resultants are evaluated relative to the neutral axis. Unified higher order shear plate theories are used to satisfy the zero-shear strain/stress at the top and bottom surfaces. The governing equilibrium equations of bi-directional functionally graded porous unified plate (BDFGPUP) are derived by Hamilton’s principle. The equilibrium equations in the form of coupled variable coefficients partial differential equations is solved by using numerical differential integral quadrature method (DIQM). The validation of the present model is presented and compared with previous works for bucking. Deviation in buckling loads for both mid-plane and neutral plane are developed and discussed. The numerical results prove that the shear functions, distribution indices, boundary conditions, elastic foundation and porosity type have significant influence on buckling stability of BDFGPUP. The current mathematical model may be used in design and analysis of BDFGPU used in nuclear, mechanical, aerospace, and naval application.
Author Related Publications
Rabab Ahmed Ali Ahmed AbuShanab, "Vibration characteristics of two-dimensional FGM nanobeams with couple stress and surface energy under general boundary conditions", Elsevier, 2021
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Rabab Ahmed Ali Ahmed AbuShanab, "Multi-objective optimization for lightweight design of bi-directional functionally graded beams for maximum frequency and buckling load", Elsevier, 2021
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Rabab Ahmed Ali Ahmed AbuShanab, "On bending, buckling and free vibration analysis of 2D-FG tapered Timoshenko nanobeams based on modified couple stress and surface energy theories", Taylor & Francis, 2021
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Rabab Ahmed Ali Ahmed AbuShanab, "Nonlinear analysis of functionally graded nanoscale beams incorporating the surface energy and microstructure effects", Elsevier, 2017
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Rabab Ahmed Ali Ahmed AbuShanab, "Non-uniform HOC scheme for the 3D convection-diffusion equation", Science Publishing group, 2013
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Department Related Publications
Adel Fathy Meselhy Ibrahiem, "Effect of some manufacturing parameters on mechanical properties of extruded Al-alumina composites", لايوجد, 1900
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Ashraf Abdelfattah Ali Hassanein, "A novel 3-D graphite structure from thermally stabilized electrospun MWCNTs/PAN nanofibril composite fabrics", International Journal of Advanced Manufacturing Technology, 2014
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Amal Elhosaieny Meselhy Alshorbagy, "Free vibration characteristics of a functionally graded beam by finite element method", www.elsevier.com/locate/apm, 2010
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Mohammed Abdelmoniem Mohamed Eltaher , "Static and buckling analysis of functionally graded Timoshenko nanobeams", www.elsevier.com, 2014
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Tamer Ali Abdella Sebaee, "AN EXPERIMENTAL STUDY ON THE BOLTED JOINT CONNECTIONS IN GFRE [0/90]2S LAMINATES", Minoufiya University, 2009
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