Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods

In this paper, analytical and finite element solutions of mechanical buckling of a thick Functionally Graded (FG) plate have been investigated. Boundary conditions have been assumed as simply supported at all edges and three different loadings have been applied. In analytical section the procedure o...

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Main Authors: Hossein Ahmadi Rashid, AMIR GHIASVAND, Maziar Mahdipour Jalilian, Mahdi Kazemi
Format: Article
Language:English
Published: Islamic Azad University-Isfahan (Khorasgan) Branch 2022-09-01
Series:International Journal of Advanced Design and Manufacturing Technology
Subjects:
Online Access:https://admt.isfahan.iau.ir/article_695345_d6c19d5fe6562e0a8218c5194b479d44.pdf
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author Hossein Ahmadi Rashid
AMIR GHIASVAND
Maziar Mahdipour Jalilian
Mahdi Kazemi
author_facet Hossein Ahmadi Rashid
AMIR GHIASVAND
Maziar Mahdipour Jalilian
Mahdi Kazemi
author_sort Hossein Ahmadi Rashid
collection DOAJ
description In this paper, analytical and finite element solutions of mechanical buckling of a thick Functionally Graded (FG) plate have been investigated. Boundary conditions have been assumed as simply supported at all edges and three different loadings have been applied. In analytical section the procedure of developing the critical buckling force by third order shear theory has been presented and then the stability Equations have been reduced from 5 to 2. In continue, the problem has been solved using numerical simulation by ABAQUS. To validate the FEM, results have been compared and validated with analytical solution. The results show that the bi-axial compression loading case with the loading ratio of R to one and R to zero are the most possible and most unlikely case in buckling occurrence, respectively.
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spelling doaj.art-ea94e5c2f5144abd90ba7e94ebbd00022023-10-18T08:36:00ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472022-09-01153475410.30486/admt.2022.1904716.1203695345Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements MethodsHossein Ahmadi Rashid0AMIR GHIASVAND1Maziar Mahdipour Jalilian2Mahdi Kazemi3Department of Mechanical Engineering, University of Tabriz, Tabriz, IranDepartment of Mechanical Engineering, University of Tabriz, Tabriz, IranDepartment of Mechanical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, IranAssistant Professor of Mechanical Engineering, Malayer University, Malayer, IranIn this paper, analytical and finite element solutions of mechanical buckling of a thick Functionally Graded (FG) plate have been investigated. Boundary conditions have been assumed as simply supported at all edges and three different loadings have been applied. In analytical section the procedure of developing the critical buckling force by third order shear theory has been presented and then the stability Equations have been reduced from 5 to 2. In continue, the problem has been solved using numerical simulation by ABAQUS. To validate the FEM, results have been compared and validated with analytical solution. The results show that the bi-axial compression loading case with the loading ratio of R to one and R to zero are the most possible and most unlikely case in buckling occurrence, respectively.https://admt.isfahan.iau.ir/article_695345_d6c19d5fe6562e0a8218c5194b479d44.pdfbucklingfinite elements analysisfunctionally graded materials (fgm)third order shear theory
spellingShingle Hossein Ahmadi Rashid
AMIR GHIASVAND
Maziar Mahdipour Jalilian
Mahdi Kazemi
Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
International Journal of Advanced Design and Manufacturing Technology
buckling
finite elements analysis
functionally graded materials (fgm)
third order shear theory
title Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
title_full Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
title_fullStr Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
title_full_unstemmed Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
title_short Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
title_sort evaluation of critical buckling load in fg plate using analytical and finite elements methods
topic buckling
finite elements analysis
functionally graded materials (fgm)
third order shear theory
url https://admt.isfahan.iau.ir/article_695345_d6c19d5fe6562e0a8218c5194b479d44.pdf
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AT maziarmahdipourjalilian evaluationofcriticalbucklingloadinfgplateusinganalyticalandfiniteelementsmethods
AT mahdikazemi evaluationofcriticalbucklingloadinfgplateusinganalyticalandfiniteelementsmethods