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研究生:王淑芬
研究生(外文):Sue-fen Wang
論文名稱:含圓孔編織複合材料板之破壞分析
論文名稱(外文):Fracture Criterion of Braided Composite Plates Containing a Circular Hole
指導教授:蔡 昆 恊
指導教授(外文):Kun-Hsieh Tsai
學位類別:碩士
校院名稱:逢甲大學
系所名稱:紡織工程所
學門:工程學門
學類:紡織工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:60
中文關鍵詞:平均應力準則編織複合材料特徵長度開孔強度勁度矩陣平均法
外文關鍵詞:Braided CompositesCharacteristic LengthNotched StrengthAverage Stress CriterionStiffness Averaging Method
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本研究主要探討編織複合材料中心開孔之破壞分析,首先撰寫Visual Basic程式計算編織物複合材料之工程模數,其中考慮紗束於複合材料中的波動情形,將紗束視為正弦波,並將紗束切割成無數小段分別計算其勁度矩陣,最後以勁度矩陣平均法( stiffness averaging method ) 得到編織物複合材料之工程模數,之後將編織複合材料工程模數帶入有限元素法商業軟體ANSYS®中,並由實驗測量得編織複合材料極限強度,與不同孔洞大小之開孔強度為參數,帶入ANSYS®中分析孔洞邊緣之應力分佈,再利用平均應力準則( Average Stress Criterion, ASC )求得編織物複合材料之特徵長度,於實驗與分析中發現特徵長度和孔洞直徑與材料板寬度比值(2R/W)呈現乘冪關係,特徵長度隨孔洞直徑與材料板寬度比值增大而減小。
從金相顯微鏡中觀察編織複合材料孔洞邊緣的微細結構發現鑚孔對於複合材料的損傷極小;拉伸破壞中裂紋從應力集中處開始產生,並經由紗束與基材間界面脫鍵成長,隨後紗束內產生側向裂紋,使紗束斷裂造成試片最終破壞。
In this work, the primary purpose is to study the fracture criterion of braided composite plates containing a circular hole. First, the engineering moduli of braided composite plates were calculated. This calculation method considered the crimp arrangement of the shape of yarns and they were treated as a sine wave. The simulated sine wave is then divided into many small sections, and the engineering moduli of braided composite plates were calculated by means of Stiffness Averaging Method.
The plain strength and notched strength of braided composite plates were measured by experiments. Those strengths and engineering moduli calculated above were putted into ANSYS to analyze the stress distribution around the hole. Then average stress criterion was used to calculate the characteristic length for each hole size. It was found the characteristic length decreased with the ratio of the hole diameter and the specimen width (D/W) by a power-law relationship.
Through observation using metallurgical microscopy it is found that the damage caused by drilling around the hole is not severe. Initial damage occurs at the point of stress concentration around the hole. Then debonding occurs between yarns and matrix. At some point cracks deflect and break yarns resulting in the breakage of the specimen.
誌謝..................................................ii
摘要..................................................iv
Abstract.............................................v
目錄.................................................vii
圖目錄..............................................ix
表目錄..............................................xi
第一章 前言........................................1
1.1 引言.............................................1
1.2 文獻回顧.........................................3
1.3 研究動機與目的...................................6
第二章 理論........................................7
2.1 編織複合材料之工程模數計算.......................7
2.1.1 單位格子的設定.................................8
2.1.2 紗束之工程模數................................10
2.1.3 三維座標轉換..................................12
2.1.4 勁度矩陣平均法................................16
2.2 平均應力準則(Average Stress Criterion , ASC )...18
第三章 實驗.......................................20
3.1 實驗材料........................................20
3.2 實驗儀器........................................21
3.3 實驗流程........................................22
3.4 試片製作........................................24
3.5 拉伸測試........................................26
3.6 體積含有率量測 ..................................28
3.7 紗束波形........................................29
3.8 ANSYS電腦輔助分析...............................30
3.8.1 實體模型及邊界條件設定........................31
3.8.2 網格分割......................................32
3.8.3 有限元素分析流程..............................34
第四章 結果與討論.................................35
4.1 編織參數對材料性質與應力集中的影響..............36
4.2 特徵長度Characteristic length...................42
4.3 編織複合材料破壞機構............................51
第五章 結論.......................................57
參考文獻............................................58
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