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題名 | 應用互疊法解析長方板內含多裂縫之反平面問題=Analysis of Mode III Fracture Problem with Multiple Cracks in a Rectangular Plate by Analytical Alternating Method |
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作者 | 張志毅; 馬劍清; Chang, Chih-yi; Ma, Chien-ching; |
期刊 | 力學 |
出版日期 | 20000600 |
卷期 | 16:1 2000.06[民89.06] |
頁次 | 頁21-32 |
分類號 | 440.13 |
語文 | chi |
關鍵詞 | 互疊法; 應力強度因子; 長方板; Alternating method; Stress intensity factor; Rectangular plate; |
中文摘要 | 本文採用長方板邊界承受點載荷的解析解,配合高斯積分建構出長方板在任意邊 界條件下之全場解,以此作為解析互疊法之基本解,並首度將解析互疊法應用於有限板內含 多裂縫問題之撕裂性破壞分析。文中除了以長方板內含一中央裂縫之 mode Ⅲ應力強度因子 為例,獲得與其他學者一致的結果,更探討不同位置、角度之多裂縫在長方板承受不同邊界 條件下之應力強度因子。 |
英文摘要 | An efficiently analytical alternating method is applied in this study to investigate mode Ⅲ fracture problems with multiple cracks in a rectangular plate. The analytical solutions of rectangular plates subjected to anti-plane point load on boundaries are derived to construct the full-field solution of rectangular plates under arbitrary anti-plane boundary loading by Gauss integration. This non-crack solution and the analytical solution of a finite crack in an infinite domain subjected to a pair of shear point loads are referred to as fundamental solutions of the analytical alternating method. The stress intensity factors of a central crack in f finite plate with different boundary condition are compared with the analytical solutions by other researchers and excellent agreement is obtained. Several cases of multiple cracks with different crack's location/inclined angle and boundary condition are studied and discussed in detail. |
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