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Static Response of 2D FG Porous Plates Resting on Elastic Foundation Using Midplane and Neutral Surfaces with Movable Constraints
Faculty
Engineering
Year:
2022
Type of Publication:
ZU Hosted
Pages:
Authors:
Rabab Ahmed Ali Ahmed AbuShanab
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics MDPI
Volume:
Keywords :
Static Response , , , Porous Plates Resting , Elastic Foundation
Abstract:
The current manuscript develops a novel mathematical formulation to portray the static deflection of a bi-directional functionally graded (BDFG) porous plate resting on an elastic foundation. The correctness of the static response produced by middle surface (MS) vs. neutral surface (NS) formulations, and the position of the boundary conditions, are derived in detail. The relation between in-plane displacement field variables on NS and on MS are derived. Bi-directional gradation through the thickness and axial direction are described by the power function; however, the porosity is depicted by cosine function. The displacement field of a plate is controlled by four variables higher order shear deformation theory to satisfy the zero shear at upper and lower surfaces. Elastic foundation is described by the Winkler–Pasternak model. The equilibrium equations are derived by Hamilton’s principles and then solved numerically by being discretized by the differential quadrature method (DQM). The proposed model is confirmed with former published analyses. The numerical parametric studies discuss the effects of porosity type, porosity coefficient, elastic foundations variables, axial and transverse gradation indices, formulation with respect to MS and NS, and position of boundary conditions (BCs) on the static deflection and stresses
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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