Boundary Element Analysis for the Interior Thermal Field near the Boundary

• Main Authors: Yao-pang Chang, 張耀邦
• Other Authors: Yui-Chuin Shiah
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/31152876240331718560

碩士 === 逢甲大學 === 航太與系統工程所 === 99 === In recent years, generally anisotropic materials have been extensively applied to reinforce the strength of structures. The common problem is the treatment of the thermal field in thin structures. When analyzing the thermal field inside thin media, the boundary element method shall have a problem of “nearly singular integral” due to the source point too that are too close to the boundary. In the past, the scheme of integration by parts has been applied for regularizing the integrands for the problem of 2D heat conduction. For the 3D anisotropic heat conduction, this thesis employs the scheme developed by Robinson and Hill【16】using nonlinear transformation to resolve the problem of nearly singular integral, treated as an improper integral. An additional advantage of such an approach is that the scheme also applies to evaluating singular integrals when the source point lies on the element under integration. With verification by MathCAD, this thesis proposes a methodology analyzing the thermal field near the boundary of an 3D anisotropic medium by linking the FORTRAN program of BEM with the C++ code developed by Robinson and Hill【16】. Also, for further verification of the BEM results, the sample problems have been analyzed by means of ANSYS for comparison.