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研究生: 張宏誠
論文名稱: 受缺陷影響下裂縫尖端鄰近的塑性區應力、應變場之分布
指導教授: 蔣長榮
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 75
中文關鍵詞: 裂縫塑性應力強度因子缺陷應力應變
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  • 本文討論材料在受力時,裂縫附近之材料缺陷對其塑性反應的影響;藉由改變應力強度因子(Stress Intensity Factor)K,觀察Mode-I裂縫前端的塑性區變化。吾人在位於裂縫前端改變缺陷的距離、半徑、孔洞圓心與裂縫之夾角(孔洞上移),以便探討當缺陷的分布位置對裂縫之影響。
    吾人以材料為不鏽鋼(stainless steel 316L)建構非線彈性(nonlinear inelastic)之雙線性隨動硬化(bilinear kinematic hardening)平板。並以工程分析軟體ANSYS來分析問題,藉由改變K值來探討塑性區形狀之變化。分析結果顯示,在同樣負載下,越靠近裂縫尖端之缺陷所造成裂縫尖端之應力、應變值會與之增大;若缺陷孔洞圓心至裂縫尖端距離與負載保持不變,則孔洞半徑越大,也會造成相同的結果。而當半徑縮至很小時,對裂縫尖端的影響已不大,此時,孔洞的存在與否,已不是這麼的重要。另外,在孔洞圓心至裂縫尖端距離不變下,將孔洞圓心上移,此時圓心至裂縫尖端之連線與水平軸夾45°。研究發現對裂縫前方應力值的影響較不敏感,其受力後變形由圓形變為近似橢圓,其主軸恆指向裂縫尖端。


    Abstract
    This article discuss when the material is in force, the effect about plastic zone to the defect of the material near the crack tip. By changing Stress Intensity Factor(SIF),K, to confer the plastic zone range in Mode-I. On the other hand, I change the distance between the crack tip and the center of a circle, the radius of the circle of defect and the included angle between the line which is the center of a circle to the crack tip and horizontal line, to concern the effect to the distribution of the defect.
    In this paper I try to model the nonlinear inelastic plane that has bilinear kinematic hardening property by ANSYS and the material is stainless steel 316L.It is found that in the same loads the near defect around crack tip, the stress and strain is bigger. If in the same condition the bigger radius cause the same result. when radius is smaller the effect to the crack tip is not sensitivity. If keep the distance between the defect center and crack tip and elevate the defect center to make the the angle between the level line and the line with the center and crack tip to be 45°
    ,it is found that the holes are actually pulled towards the crack tip and change their shape to approximately elliptical with the major axis radial to the crack..

    摘要....................................................................................................... Abstract................................................................................................. i ii 目錄....................................................................................................... iii 圖表目錄............................................................................................... iV 第一章 緒論....................................................................................... 1 1.1前言............................................................................................... 1 1.2研究動機........................................................................................ 2 1.3文獻回顧........................................................................................ 4 第二章 基本理論............................................................................... 6 2.1線彈性破裂力學………………………………………………… 6 2.2裂縫的形式……………………………………………………… 7 2.3應力強度因子…………………………………………………… 7 2.4裂縫尖端塑性區………………………………………………… 9 2.5 Von Mises 等效應力與等效應變……………………………… 11 2.6 單軸彈性與塑性之應力-應變關係………………………….. 12 2.7 彈塑性力學常用的簡化力學模型…………………………….. 13 2.8 隨動硬化規則與包氏效應……………………………………. 14 第三章 有限單元法基本觀念……………………………………... 16 第四章 模型建立……………………………………....................... 17 4.1 問題敘述……………………………………………………….. 18 4.2 模型建立……………………………………………………….. 18 4.3邊界條件與負載………………………………………………… 20 4.4 計算流程……………………………………………………… 21 第五章 結果與討論……………………………………………… 23 第六章 結論…………………………………………....................... 28 參考文獻…………............................................................................... 30

    參考文獻
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