Identification of the heat conduction coefficients of a functionally graded ‎material with inverse application of the boundary elements method and using ‎imperialist competitive algorithm

shaker, seyed asadollah; khodadad, mahmud; ashrafi, hosein

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Modares Mechanical Engineering

Volume 17, Issue 7 (9-2017) Modares Mechanical Engineering 2017, 17(7): 119-130 | Back to browse issues page

‎ 20.1001.1.10275940.1396.17.7.17.9

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shaker S A, khodadad M, ashrafi H. Identification of the heat conduction coefficients of a functionally graded ‎material with inverse application of the boundary elements method and using ‎imperialist competitive algorithm. Modares Mechanical Engineering 2017; 17 (7) :119-130
URL: http://mme.modares.ac.ir/article-15-1399-en.html

Identification of the heat conduction coefficients of a functionally graded ‎material with inverse application of the boundary elements method and using ‎imperialist competitive algorithm

Seyed asadollah Shaker¹

, Mahmud Khodadad ^*

, Hosein Ashrafi²

1- yazd university
2- professor assistant, kashan university

Abstract: (3810 Views)

Identification of the thermal conductivity of a functionally graded material (FGM) is considered as an inverse heat conduction problem. ‎In this investigation, the measurements of the temperatures on the portion of the 2D body where heat flux is specified as the boundary ‎condition and/or the heat flux on the portion of the boundary where temperature is specified as the boundary condition are used as ‎additional data needed to identify the thermal conductivity of the FGM domain in an inverse procedure. The thermal conductivity is ‎approximated as a quadratic function of only one direction, and therefore three constant coefficients should be estimated simultaneously.‎‏ ‏The solution of the direct heat conduction problem for‏ ‏FGM domain is obtained using the boundary elements method (BEM).‎‏ ‏The ‎imperialist competitive algorithm (ICA) which is an evolutionary and meta-heuristic global optimization is used to identify the constants ‎in the thermal conductivity function of the quadratic FGM. An inverse computer code is developed which employs the boundary ‎temperature and heat flux measurements data obtained by solving the direct boundary elements code with known thermal conductivity. ‎To show the feasibility and effectiveness of the developed inverse code, a number of example problems are solved and results are ‎verified.‎

Keywords: Inverse problem, Identification of property, imperialist competitive algorithm (ICA), Boundary Elements Method (BEM), Functionally Graded Material ‎‎(FGM)‎

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Article Type: Research Article | Subject: Non Destvuctive Test
Received: 2017/01/6 | Accepted: 2017/04/21 | Published: 2017/07/13

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