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Static Buckling of 2D FG Porous Plates Resting on Elastic Foundation based on Unified Shear Theories
Faculty
Engineering
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Rabab Ahmed Ali Ahmed AbuShanab
Staff Zu Site
Abstract In Staff Site
Journal:
Journal of Applied and Computational Mechanics Shahid Chamran University of Ahvaz
Volume:
Keywords :
Static Buckling , , , Porous Plates Resting , Elastic Foundation
Abstract:
This article develops a mathematical model to study the static stability of bi-directional functionally graded porous unified plate (BDFGPUP) resting on elastic foundation. The power function distribution is proposed for the gradation of material constituent through thickness and axial directions. Three types of porosity are selected to portray the distribution of voids and cavities through the thickness of the plate. Unified theories of plate are exploited to present the kinematic fields and satisfy the zero-shear strain/stress at the top and bottom surfaces without shear correction factor. Hamilton’s principle is employed to derive the governing equations of motions including the higher terms of force resultants. An efficient numerical method namely differential integral quadrature method (DIQM) is manipulated to discretize the structure spatial domain and transform the coupled variable coefficients partial differential equations to a system of algebraic equations. Problem validation and verification have been proven with previous works for bucking phenomenon. Parametric studies are exemplified to exhibit the significant impacts of kinematic shear relations, gradation indices, porosity type, and boundary conditions on the static stability and buckling loads of BDFGP plate. The proposed model is economical in different applications in nuclear, mechanical, aerospace, naval, dental and medical fields.
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
Rodyna Ahmed Mahmoud, "Proximity structures and grill", ijser, 2013
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Heba Ibrahim Mustafa, "On rough approximations via ideal", Elsevier, 2013
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Heba Ibrahim Mustafa, "Soft Generalized Closed Sets with Respect to an Ideal in Soft Topological Spaces", Natural science publishing USA, 2014
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Heba Ibrahim Mustafa, "Hybridizing Rough Sets and Double Sets (An approach for increasing decision accuracy)", Acta Zhengzhou University Overseas, 2013
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Alaa Hassan Attia Hassan, "On subordination results for certain new classes of analytic functions defined by using Salagean operator", Universiteti i Prishtines, Prishtine, Kosove, 2012
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