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研究生:蔡豐懋
論文名稱:穿透式雙邊傾斜裂縫之實驗與數值分析
論文名稱(外文):The Experimental and Numerical Analysis of Through Inclined Double-edged Cracks
指導教授:任明華任明華引用關係
學位類別:碩士
校院名稱:國立中山大學
系所名稱:機械工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:1995
畢業學年度:83
語文別:中文
論文頁數:66
中文關鍵詞:穿透式雙邊傾斜裂縫應力強度
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  • 被引用被引用:4
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  本論文旨以實驗及數值解析方法探討含穿透式雙邊任意傾斜裂縫金屬板,在拉力作用下各種不同的裂縫長度及相異之傾斜角的應力強度因子變化的情形,並找出以裂縫長度與試件寬度之比值為函數的有限寬度修正係數。
  在實驗分析中,將試件分為兩組,一組為對稱型雙邊傾斜裂縫,另一組為反對稱型雙邊傾斜裂縫,每組試件及其裂縫之製作係依美國材料及實驗學會(ASTM)之標準規範製作,裂縫之傾斜角則以施力之垂直方向起算從0°至 75°每隔 15°製作一種試片,並以MTS材料試驗機進行拉伸試驗,電腦化之試驗與攝影設備可同步記錄試驗進行時之負荷、位移、應變及裂縫長度之資料,使用Belt Came之攝影停格技術求得相關之裂縫成長長度並計算出應力強度因子。本實驗之破壞模式可視為模式Ⅰ及模式Ⅱ之混合型破壞。
  在數值解析方面,利用PATRAN及ABAQUS套裝軟體分析,並採用1/4 節點裂縫尖端特異元素,因其具有應力的1/√r的特異性,使其對裂縫尖端之應力特有現象能有效且精確的模擬,建立有限元素模型。模型可分為三組,一組為對稱型雙邊傾斜裂縫,一組為反對稱型雙邊傾斜裂縫,另一組為不對稱型雙邊傾斜裂縫。
  數值解析結果發現,KⅠ值隨傾斜角度增大而遞減,KⅡ值在θ=45°最大,而KⅠ值比KⅡ值大,顯示破壞以模式Ⅰ為主導。數值解析之結果與試驗數據比較發現,兩者數據非常接近。無論是對稱或反對稱對於左右裂縫之應力強度因子均有相當之吻合性。
  This paper aims to adopt experiments and numerical analysis on double-edged through cracks in metallic plates, to explore the stress intensity factor (SIF''s) with various crack lengths and different inclined angles due to the tension tests. And we also find the finite size correction factor a function of the ratio of crack length versus specimen''s width.
  The experiments contain two parts: one is symmetrically doubleedged inclined cracks, the other is anti-symmetrically double-edged inclined cracks. The specimen dimensions, crack length, and width are made according to the standards of American Society for Testing and Materials(ASTM). The inclined angle of each specimen has an increment of 15°, and the range of inclined angles is from 0° which is perpendicular to the direction of applied load to 75°. Then do the tests with a universal material testing machine MTS. The computerized tests and photograph equipment can record the data of load, displacement, strain and crack length at the identical time, then using the technology of Belt Came to observe crack length and calculate SIF''s thereafter. The fracture mode can be regarded as a mixed mode of Mode Ⅰand ModeⅡ.
  On the aspect of numerical analysis, we employ the softwares of PATRAN and ABAQUS to obtain the exact stresses under the situation of crack tip, adopting the quarter-point crack tip singular elements to model the element, because of the singularity of 1/√r. The contents contains three parts: the first part is symmetrical double-edged inclined cracks, antisymmetrical double-edged inclined cracks, and non-symmetrical doubleedged inclined cracks.
  KⅠis decreased with the increase of inclined angle, the value of KⅡ is maximal when the inclined angle is 45°. And KⅠis larger than KⅡthat shows that KⅠis the dominating fracture mode. No matter what of the symmetrical cracks or anti-symmetrical cracks, the data from experiments are correlated well with numerical analysis in comparison.
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