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Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements

Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements
Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements
For better understanding of the behaviour of functionally graded materials (FGM) in high temperature environment, a reliable and efficient numerical tool is required for pre- dictions of heat transfer behaviour and thermally-induced stresses in them. This study presents a finite element formulation of a coupled thermo-mechanical problem in func- tionally graded metal/ceramic plates. The theoretical framework considers the finite ele- ment method (FEM) which is applied to the development of a functionally graded two- dimensional plane strain finite element. The plane strain graded finite element is incor- porated within the ABAQUS tm code via the combination of user-defined subroutines. The subroutines enable us to program graded mechanical and thermal properties of the FGM as continuous position-dependent functions and, then, to sample them directly at the Gauss integration points of the element. The performance of the developed graded finite ele- ment is verified by comparisons with results known in the literature and with calculated using conventional homogeneous elements in a layered model. The solutions of thermo- mechanical problems of functionally graded plates referring to pure mechanical and ther- mal tasks, and uncoupled and coupled analyses of thermoelasticity are carried out and discussed in the paper.
Functionally graded material, Graded finite element, Heat transfer, thermal stresses
0307-904X
422-438
Burlayenko, V.N.
4e3e1215-0211-4bd7-aca8-f4b42f9a9ca6
Altenbach, H.
e0b2e172-b0d1-4da2-aabd-ef8f70bc838e
Sadowski, T.
cfb60e50-1210-489d-b4cc-b3c0622286db
Dimitrova, S.D.
22d7f96e-2236-4770-a65d-e12c529ce1f0
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Burlayenko, V.N.
4e3e1215-0211-4bd7-aca8-f4b42f9a9ca6
Altenbach, H.
e0b2e172-b0d1-4da2-aabd-ef8f70bc838e
Sadowski, T.
cfb60e50-1210-489d-b4cc-b3c0622286db
Dimitrova, S.D.
22d7f96e-2236-4770-a65d-e12c529ce1f0
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e

Burlayenko, V.N., Altenbach, H., Sadowski, T., Dimitrova, S.D. and Bhaskar, A. (2017) Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements. Applied Mathematical Modelling, 45, 422-438. (doi:10.1016/j.apm.2017.01.005).

Record type: Article

Abstract

For better understanding of the behaviour of functionally graded materials (FGM) in high temperature environment, a reliable and efficient numerical tool is required for pre- dictions of heat transfer behaviour and thermally-induced stresses in them. This study presents a finite element formulation of a coupled thermo-mechanical problem in func- tionally graded metal/ceramic plates. The theoretical framework considers the finite ele- ment method (FEM) which is applied to the development of a functionally graded two- dimensional plane strain finite element. The plane strain graded finite element is incor- porated within the ABAQUS tm code via the combination of user-defined subroutines. The subroutines enable us to program graded mechanical and thermal properties of the FGM as continuous position-dependent functions and, then, to sample them directly at the Gauss integration points of the element. The performance of the developed graded finite ele- ment is verified by comparisons with results known in the literature and with calculated using conventional homogeneous elements in a layered model. The solutions of thermo- mechanical problems of functionally graded plates referring to pure mechanical and ther- mal tasks, and uncoupled and coupled analyses of thermoelasticity are carried out and discussed in the paper.

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Vyacheslav Burlayenko's manuscript - Accepted Manuscript
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Accepted/In Press date: 4 January 2017
e-pub ahead of print date: 9 January 2017
Published date: May 2017
Keywords: Functionally graded material, Graded finite element, Heat transfer, thermal stresses
Organisations: Computational Engineering & Design Group

Identifiers

Local EPrints ID: 406768
URI: https://eprints.soton.ac.uk/id/eprint/406768
ISSN: 0307-904X
PURE UUID: d6c0e57c-81f3-4c0d-af80-ed3cf81375f3

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Date deposited: 22 Mar 2017 02:08
Last modified: 15 Aug 2019 05:00

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