TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A FUNCTIONALLY GRADED PLATE WITH A SLANTING BOUNDARY TO THE FUNCTIONAL GRADATION

Manabu Ohmichi; Naotake Noda

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TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A FUNCTIONALLY GRADED PLATE WITH A SLANTING BOUNDARY TO THE FUNCTIONAL GRADATION

机译：功能梯度板的二维梯度传热问题

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摘要

This article presents analytical results for temperature in a functionally graded material plate (FGMP) with a slanting boundary to the functional gradation subjected to a partial heating. The heat conductivity is expressed in terms of a exponential function of the position. The general solution of the heat conduction equation for FGMP with a slanting boundary to the functional gradation is derived by use of the variable separation method and the analytical solution, which satisfies the boundary condition is obtained. Numerical calculations are carried out for ZrO_2/Ti-6Al-4V and ZrO_2/stainless (SUS304) functionally graded plates, when the ceramic surface is partially heated. Temperature and heat flux are graphically displayed for these two cases.

机译：本文介绍了功能梯度材料板（FGMP）中温度的分析结果，该板具有部分加热的功能梯度倾斜的边界。导热系数根据位置的指数函数表示。通过变量分离法推导了FGMP的热传导方程，其边界向函数梯度倾斜，并得到了满足边界条件的解析解。当部分加热陶瓷表面时，对ZrO_2 / Ti-6Al-4V和ZrO_2 /不锈钢（SUS304）功能梯度板进行了数值计算。这两种情况的温度和热通量均以图形方式显示。

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来源
《Journal of thermal stresses》 |2007年第7期|p.715-730|共16页
作者
Manabu Ohmichi; Naotake Noda;
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作者单位

Faculty of Engineering, Aichi University of Technology, Nishihasama-cho, Gamagori-shi, Aichiken, Japan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
functionally graded materials (FGMs); heat conduction; partial heating; slanting boundary;

机译：功能梯度材料（FGM）;热传导;局部加热;倾斜边界;

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1. Two-Dimensional Inverse Transient Heat Conduction Analysis of Laminated Functionally Graded Circular Plates [J] . H. Rahideha P. Malekzadehb* M. R. Golbahar Haghighib amp, M. Vaghefic Numerical Heat Transfer, Part A: Applications . 2012,第12期

机译：层合功能梯度圆板的二维逆向瞬态导热分析
2. Two-dimensional inverse transient heat conduction analysis of laminated functionally graded circular plates [J] . Rahideh H., Malekzadeh P., Golbahar Haghighi M.R., Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology . 2012,第7a12期

机译：层合功能梯度圆板的二维逆瞬态导热分析
3. Three-Dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method [J] . L. F. Qian, R. C. Batra Computational Mechanics . 2005,第3期

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4. Thermoelastic Problem in the Functionally Graded Plate with the Slanting Boundary to the Functional Gradation [C] . M. Ohmichi, N. Noda International Conference on Multiscale and Functionally Graded Materials . 2008

机译：功能渐变板中的热弹性问题与倾斜边界到功能渐变
5. A Non-Local Third Order Theory of Functionally Graded Plates Under Electromechanical Coupling Effect [D] . Kim, Jinseok. 2017

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6. Heat Conduction in a Functionally Graded Plate Subjected to Finite Cooling/Heating Rates: An Asymptotic Solution [O] . Zhihe Jin 2011

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7. Heat Conduction in a Functionally Graded Plate Subjected to Finite Cooling/Heating Rates: An Asymptotic Solution [O] . Zhihe Jin 2011

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TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A FUNCTIONALLY GRADED PLATE WITH A SLANTING BOUNDARY TO THE FUNCTIONAL GRADATION

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