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研究生: 黃嘉鑫
Huang, Jia-Shin
論文名稱: 應用數位影像相關法於聚醯亞胺薄膜三維黏彈性本構模型建立
Application of Digital Image Correlation in Developing Three-Dimensional Viscoelastic Constitutive Model of Polyimide Thin Film
指導教授: 屈子正
Chiu, Tz-Cheng
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 105
中文關鍵詞: 黏彈性數位影像相關法聚醯亞胺薄膜本構行為
外文關鍵詞: Viscoelastic, Digital Image Correlation, PI thin film, Constitutive model
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  • 隨著科技日新月異,積體電路(Integrated circult;IC)的功能逐漸朝向系統整合以及尺寸減小為目標,其中聚醯亞胺(Polyimide,PI)軟性材料因為擁有良好的機械力學與耐高低溫特性因此常被廣泛應用於電子產業與半導體領域,能夠精確預測聚醯亞胺材料機械行為成為不可或缺的一環。數位影像相關法(Digital Image Correlation,DIC)主要利用變形前與變形後之子影像區內灰階值的變化關係來尋找變形改變的相對位置,得到位移與變形關係,且數位影像相關法的優勢在於:非接觸式量測、與可量測二維變形、具有高精確度等優點,因此廣泛運用於工程領域。本文採用數位影像相關法進行實驗量測,並針對聚醯亞胺薄膜材料黏彈性性質進行三維本構模型建立,首先利用數位影像相關法進行位移與應變精確度分析,分析數位影像相關法量測精確度,以及確認數位影像相關法處理流程與位置長度選擇。接著對聚醯亞胺薄膜材料利用潛變實驗進行黏彈性行為量測,並且利用時間-溫度重疊原理(time-temperature principle)進行主曲線建立,再利用柔量與蒲松比黏彈性行為變化,進一步探討剪切鬆弛模數、體積鬆弛模數之黏彈性行為反應。推導出三維黏彈性模型,完整描述材料黏彈性行為。最後透過三維黏彈性模型進行有限元素法模擬不同實驗下之應變變化,並與數位影像相關法實驗量測結果進行比較,驗證實驗得到之聚醯亞胺薄膜材料黏彈性本構模型。

    Polyimide (PI) materials are widely used in the electronics industry and semiconductor fields because of their good mechanical properties and high and low-temperature resistance. This study applys digital image correlation (DIC) to measure the displacements and strains in tensile tests of PI. Because DIC is non-contact measurement, it can measure the two-dimensional deformation and has high accuracy. The study first evaluated the accuracy of DIC displacement and strain measurements, and confirmed the analysis flow of DIC and the selection of gauge length. The DIC is then applied to measure viscoelastic behaviors of the PI thin film under creep tests, and a three-dimensional viscoelastic model was developed to fully describe the viscoelastic behavior of the PI thin film. Finally, finite element simulation based on the three-dimensional viscoelastic model was used to simulate the strain responses under various loading conditions, and the numerical results were compared to experimental measurements to verify the viscoelastic constitutive model of the PI thin film.

    摘要 I Extended Abstract II 致謝 XXIV 目錄 XXV 表目錄 XXIX 圖目錄 XXX 符號說明 XXXVII 第一章 緒論 1 1.1研究動機 1 1.2文獻回顧 3 1.2.1高分子黏彈性材料分析 3 1.2.2數位影像關係法應用 5 1.3研究目的與方法 7 1.4本文架構 9 第二章 黏彈性力學理論 11 2.1高分子材料之黏彈性行為 11 2.2潛變實驗與應力鬆弛實驗 11 2.3黏彈性材料之基本數學模型 13 2.4線黏彈性材料行為 16 2.5線黏彈性本構模型 18 2.6時間-溫度重疊原理 20 第三章 數位影像相關法理論 22 3.1二維變形理論 22 3.2影像重建 24 3.3灰階值相關性判斷 25 3.4尋找最佳參數 26 第四章 數位影像相關法位移量測分析與驗證 31 4.1縮放比例量測 31 4.2數位影像相關法位移量測驗證 35 4.2.1厚聚醯亞胺材料試件 35 4.2.2拉伸實驗配置 37 4.2.3實驗結果 37 第五章 聚醯亞胺薄膜黏彈性實驗 44 5.1聚醯亞胺薄膜試件製作 44 5.2聚醯亞胺薄膜拉伸實驗與應變處理分析 46 5.3聚醯亞胺薄膜線彈性本構模型建立 52 5.3.1聚醯亞胺薄膜潛變實驗 52 5.3.2本構模型之平移因子與參數擬合 63 5.4聚醯亞胺薄膜蒲松比量測 70 5.5聚醯亞胺薄膜之剪切鬆弛模數與體積鬆弛模數計算 76 5.6聚醯亞胺薄膜非單一負載實驗 82 5.6.1潛變與潛變恢復實驗 82 5.6.2三角波負載實驗 84 5.7 本章小結 87 第六章 聚醯亞胺薄膜黏彈性本構模型驗證 88 6.1 聚醯亞胺薄膜黏彈性本構模型建立與驗證 88 6.2 潛變與潛變恢復模擬與實驗比較 93 6.3 三角波負載模擬與實驗比較 95 6.4 本章小結 97 第七章 結論與未來研究 98 7.1結論 98 7.2未來研究 99 參考文獻 100

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