14-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Exact solutions for variable-thickness inhomogeneous elastic plates under various boundary conditions
Exact solutions for variable-thickness inhomogeneous elastic plates under various boundary conditions
Subject
:
Mthematics
Document Language
:
English
Abstract
:
In this paper, an exact solution to the governing equations of the bending of a variable-thickness inhomogeneous rectangular plate is presented. The procedure is applicable to variable-thickness inhomogeneous rectangular plates with two opposite edges simply supported. The remaining ones subjected to a combination of clamped, simply supported, and free boundary conditions and between these two edges the plate may have varying thickness. The procedure is valuable in view of the fact that tables of deflections and stresses cannot be presented for variable-thickness inhomogeneous orthotropic plates as for uniform-thickness homogeneous isotropic plates even for commonly encountered loads because the results depend on the inhomogeneity coefficient and the orthotropic material properties instead of a single flexural rigidity. Numerical results, useful for the validation or otherwise of approximate solutions, are tabulated. The influences of the degree of the inhomogeneity, aspect ratio, thickness parameter and degree of non-uniformity on the deflections and stresses are investigated. © 2008 Springer Science+Business Media B.V.
ISSN
:
0025-6455
Journal Name
:
Meccanica, 44 (4), pp. 433-447
Volume
:
44
Issue Number
:
4
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
14
Article Type
:
Article
Added Date
:
Thursday, October 15, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أشرف مبارز نقور
Ashraf M Zenkour
Researcher
Doctorate
zenkour@gmail.com
داود سليمان محمد مشاط
Daoud Suleiman Mashat
Researcher
Doctorate
dmashat@kau.edu.sa
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