IDENTIFICATION OF THE HEAT CONDUCTION COEFFICIENTS OF A FUNCTIONALLY GRADED MATERIAL WITH INVERSE APPLICATION OF THE BOUNDARY ELEMENTS METHOD AND USING IMPERIALIST COMPETITIVE ALGORITHM

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SHAKER ASADOLLAH; KHODADAD MAHMUD; ASHRAFI HOSEIN

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Journal: Modares Mechanical Engineering Year:2017 | Volume:17 | Issue:7 Page(s): 119-130

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Title

IDENTIFICATION OF THE HEAT CONDUCTION COEFFICIENTS OF A FUNCTIONALLY GRADED MATERIAL WITH INVERSE APPLICATION OF THE BOUNDARY ELEMENTS METHOD AND USING IMPERIALIST COMPETITIVE ALGORITHM

Author(s)

SHAKER ASADOLLAH | KHODADAD MAHMUD | ASHRAFI HOSEIN | Issue Writer Certificate

Keywords

INVERSE PROBLEMQ1

IDENTIFICATIONQ1

IMPERIALIST COMPETITIVE ALGORITHM (ICA)Q2

BOUNDARY ELEMENTS METHOD (BEM)Q2

FUNCTIONALLY GRADED MATERIAL (FGM)Q2

Abstract

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.

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APA: Copy

SHAKER, ASADOLLAH, KHODADAD, MAHMUD, & ASHRAFI, HOSEIN. (2017). 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, 17(7 ), 119-130. SID. https://sid.ir/paper/179365/en

Vancouver: Copy

SHAKER ASADOLLAH, KHODADAD MAHMUD, ASHRAFI HOSEIN. 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[Internet]. 2017;17(7 ):119-130. Available from: https://sid.ir/paper/179365/en

IEEE: Copy

ASADOLLAH SHAKER, MAHMUD KHODADAD, and HOSEIN ASHRAFI, “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, vol. 17, no. 7 , pp. 119–130, 2017, [Online]. Available: https://sid.ir/paper/179365/en

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