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題 名 | 異向材料點焊熱應力之邊界元素法分析=BEM Thermoelastic Analysis of Anisotropic with Concentrated Heat Sources |
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作 者 | 夏育群; 賴宏智; | 書刊名 | 明志學報 |
卷 期 | 37:1 2005.06[民94.06] |
頁 次 | 頁65-79 |
分類號 | 440.221 |
關鍵詞 | 邊界元素法; 異向性熱彈; 集中熱源; Boundary element method; Anisotropic thermoelasticity; Concentrated heat source; |
語 文 | 中文(Chinese) |
中文摘要 | 使用邊界元素法分析彈性力學問題中之熱效應問題時,其邊界積分式中會產生一種體積分項、目前最完善之解仍是將此體積分完全轉換為面積分,而此解析之轉換,最近才完成。在工程上之點焊問題如電路板上之焊點,在數值模擬中為使用集中熱源來處理,而集中熱源出現在內部時,此熱源導致熱奇異性,此奇異點使得體積分轉換成面積分之過程造成困難。在本文中此問題藉由移除奇異點重新將體積分轉換成面積分,其使用靜偶合之方式得以解決,文中提供二數值範例來說明並驗證其正確性及可使用性。 |
英文摘要 | In elastic stress analysis using the BEM, an additional volume integral appears in the basic form of the boundary integral equation if thermal effects are considered. Perhaps the most elegant approach to restore this general numerical tool as a boundary solution technique is to transform exactly the volume integral into a series of boundary ones. For general anisotropic thermoelasticity in 2D, this was only achieved very recently. The presence of concentrated heat sources, however, leads to thermal singularities at these interior source points that give rise to additional difficulties in the volume-to-surface integral transformation. The problem is resolved in the present work by the removal of these singularities before proceeding with the transformation in a mapped plan. It is solved in a statically coupled manner, where the associated thermal field plays a critical role in the steps for the singularity removal and the analytical transformation. The two numerical examples are presented to demonstrate the veracity and applicability of the formulation. |
本系統中英文摘要資訊取自各篇刊載內容。