The Thermal Problem of a Functionally Graded Strip Containing an Insulated Crack

• Main Authors: Hsing-WeiHo, 何興威
• Other Authors: Ching-Hwei Chue
• Format: Others
• Language: zh-TW
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/78935962351778694958

碩士 === 國立成功大學 === 機械工程學系 === 103 === In this paper, the problem of an insulated crack in a functionally graded strip with the prescribed temperature or steady-state heat flux at boundaries is considered. The material properties is in exponential form and vary in the direction perpendicular to the crack surfaces. According to the superposition principle, the problem with each boundary condition can be separated into two sub-problems, and then be reduced into a system of singular integral equations by using Fourier transformation. In order to solve the problem numerically, the Gauss-Chebyshev integration formula and the method of Gauss-Legendre quadrature are used. Numerical results are presented graphically to illustrate the influence of strip boundaries and material inhomogeneity on the temperature distribution around the crack and the heat flux intensity factors at crack tips. With prescribed temperature at boundaries, the variation of temperature distribution and heat flux intensity factors are related to different thermal resistances of the strip. With steady-state heat flux at boundaries, the variation of temperature distribution and heat flux intensity factors are obviously affected by edge effect. Consequently, the results of this study may be helpful in understanding the phenomenon of fracture in FGM strip subjected to thermal boundary conditions.