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題 名 | Mutual Weakening between Crack Tips of an Arc Crack in an Infinitely Large Elastic Plate=無窮大平板內弧形裂紋尖端之交互弱化效應 |
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作 者 | 夏育群; | 書刊名 | 臺北科技大學學報 |
卷 期 | 35:1 2002.03[民91.03] |
頁 次 | 頁35-44 |
分類號 | 447.5 |
關鍵詞 | 交互弱化影響; 弧形裂紋; 映像函數; 應力強度因子; Mutual weakening; Arc crack; Mapping function; Stress intensity factors; |
語 文 | 英文(English) |
中文摘要 | 以往研究為了簡化問題,多將結構之裂紋理想化成為一平直線裂紋。然而,初期之直線裂紋常常會演生為彎曲之裂紋。本文研究之主題在於探討一無窮大彈性平板結構,在其內含弧形裂紋受均勻拉伸及剪應力時,其裂紋尖端間交互作用而互相削弱強度之影響。本文之研究方法乃是首先設計一複變函數,將原有弧形裂紋之幾何形狀映像至輔助平面成為一單位圓,然後再以此映像函數代入相關之邊界方程式中。藉由歌西積分,其所對應之複變應力函數便可求得。而所得之複變應力函數便可經由微分及求極限的過程,以求得其所對應之裂紋強度因子。文中探討此應力強度因子對於裂紋分別受均勻拉伸或剪應力作用時,其尖端間交互弱化之影響關係。 |
英文摘要 | To simplify the fracture problem, past research works used to idealize a crack as a perfectly straight slit. However, the initially straight crack may propagate and grow to form a curvilinear one. This paper is mainly to investigate the mutual weakening between the crack tips of an arc crack subjected to uniform tension as well as shear. In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as a result of evaluating Cauchy integrals. Through a limiting process, the stress intensity factors can be formulated. Therefore, as uniform tension and shear are considered, the mutual weakening between crack tips can be studied directly from the stress intensity factors formulated in terms of the geometry of the crack. |
本系統中英文摘要資訊取自各篇刊載內容。