Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity

Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity

The quasistatic bending response is presented for a simply supported functionally graded rectangular plate subjected to a through-the-thickness temperature field under the effect of various theories of generalized thermoelasticity, namely, classical dynamical coupled theory, Lord and Shulman's...

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Main Authors: A. M. Zenkour, D. S. Mashat, K. A. Elsibai
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2009/962351
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spelling doaj-9a479e3f2fb64ab68250ee4d3a0d453d2020-11-24T22:58:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472009-01-01200910.1155/2009/962351962351Bending Analysis of Functionally Graded Plates in the Context of Different Theories of ThermoelasticityA. M. Zenkour0D. S. Mashat1K. A. Elsibai2Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Applied Science, Umm Al-Qura University, P.O. Box 715, Holy Makkah, Saudi ArabiaThe quasistatic bending response is presented for a simply supported functionally graded rectangular plate subjected to a through-the-thickness temperature field under the effect of various theories of generalized thermoelasticity, namely, classical dynamical coupled theory, Lord and Shulman's theory with one relaxation time, and Green and Lindsay's theory with two relaxation times. The generalized shear deformation theory obtained by the first author is used. Material properties of the plate are assumed to be graded in the thickness direction according to a simple exponential law distribution in terms of the volume fractions of the constituents. The numerical illustrations concern quasistatic bending response of functionally graded square plates with two constituent materials are studied using the different theories of generalized thermoelasticityhttp://dx.doi.org/10.1155/2009/962351
collection DOAJ
language English
format Article
sources DOAJ
author A. M. Zenkour
D. S. Mashat
K. A. Elsibai
spellingShingle A. M. Zenkour
D. S. Mashat
K. A. Elsibai
Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
Mathematical Problems in Engineering
author_facet A. M. Zenkour
D. S. Mashat
K. A. Elsibai
author_sort A. M. Zenkour
title Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
title_short Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
title_full Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
title_fullStr Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
title_full_unstemmed Bending Analysis of Functionally Graded Plates in the Context of Different Theories of Thermoelasticity
title_sort bending analysis of functionally graded plates in the context of different theories of thermoelasticity
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2009-01-01
description The quasistatic bending response is presented for a simply supported functionally graded rectangular plate subjected to a through-the-thickness temperature field under the effect of various theories of generalized thermoelasticity, namely, classical dynamical coupled theory, Lord and Shulman's theory with one relaxation time, and Green and Lindsay's theory with two relaxation times. The generalized shear deformation theory obtained by the first author is used. Material properties of the plate are assumed to be graded in the thickness direction according to a simple exponential law distribution in terms of the volume fractions of the constituents. The numerical illustrations concern quasistatic bending response of functionally graded square plates with two constituent materials are studied using the different theories of generalized thermoelasticity
url http://dx.doi.org/10.1155/2009/962351
work_keys_str_mv AT amzenkour bendinganalysisoffunctionallygradedplatesinthecontextofdifferenttheoriesofthermoelasticity
AT dsmashat bendinganalysisoffunctionallygradedplatesinthecontextofdifferenttheoriesofthermoelasticity
AT kaelsibai bendinganalysisoffunctionallygradedplatesinthecontextofdifferenttheoriesofthermoelasticity
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