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• W3087685655 endingPage "106629" @default.
• W3087685655 startingPage "106629" @default.
• W3087685655 abstract "In this study we present a numerical approach to solve steady-state heat conduction problems in functionally graded materials (FGMs). Two different types of material gradations are considered for spatially varying thermal conductivity of FGM: (1) Quadratic material gradation; (2) Exponential material gradation. The proposed numerical procedure is based on finite-difference method and is developed to solve the steady-state heat conduction equation over a general two-dimensional (irregular) heat conducting body (FGM) with Dirichlet, Neumann, and Robin boundary conditions. In addition to presenting an accurate heat conduction equation solution considering an irregular shape and a variety of boundary conditions, the other novel aspect of this study is to identify the constant parameters in the material gradations accurately by an inverse analysis thereby determining the accurate form of gradation. The novelty of the inverse analysis lies in proposing an accurate and efficient explicit sensitivity analysis scheme. The main advantage of the sensitivity analysis scheme is that it is not involved with an adjoint equation and all the sensitivity coefficients can be explicitly computed in only one direct solution. The conjugate gradient method (CGM) is used to reduce the mismatch between the computed temperature on part of the boundary and the simulated measured temperature distribution. The accuracy, efficiency, and robustness of the proposed numerical approach are demonstrated through presenting two test cases." @default.
• W3087685655 created "2020-09-25" @default.
• W3087685655 creator A5065190539 @default.
• W3087685655 creator A5067763240 @default.
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• W3087685655 date "2021-01-01" @default.
• W3087685655 modified "2023-10-16" @default.
• W3087685655 title "Solving direct and inverse heat conduction problems in functionally graded materials using an accurate and robust numerical method" @default.
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• W3087685655 doi "https://doi.org/10.1016/j.ijthermalsci.2020.106629" @default.
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