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研究生: 葉怡嘉
Yeh, I-chia
論文名稱: 雷射輔助式奈米壓印之熱傳導與變形問題模擬
Numerical Simulation of Coupled Temperature-Deformation Problem on Laser-Assisted Direct Imprinting
指導教授: 林育芸
Lin, Yu-Yun
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 84
中文關鍵詞: 壓印反射有限元素法熔融
外文關鍵詞: finite element method, molten, reflectance, imprint
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  • 本文主要建立二維有限元素分析模型,模擬雷射輔助式奈米壓印過程中,雷射照射於矽底材使之熔融並因為預施壓力使矽底材與石英模具接觸產生變形。在此二維耦合溫度-位移之模型中,雷射照射於矽底材使矽底材熔融後,我們針對液態矽及固態矽分別計算其吸收之熱源大小,利用自設副程式將熱源與分析模型結合。同時以雙層黏塑材料模型描述矽底材在高溫及熔融後之黏滯性質。利用此數值模型,可探討石英模具對熱傳導行為及熔融情形的影響;模型中分別利用體熱通量與表面熱通量來設定熱源,並探討此兩種設定情形對模擬溫度場變化及壓印過程之影響。本文之數值模擬結果可作為實驗結果之比對,亦可提供將來實驗參數設定之參考。

    We developed a two-dimensional finite element model to simulate the melt of silicon substrate caused by the excimer laser, and the deformation of molten silicon due to the contact between the pre-loaded quartz mold and silicon in Laser-Assisted Direct Imprinting (LADI) process. In this two-dimensional coupled temperature-displacement model, we calculate the heat source absorbed by solid silicon and liquid silicon after the melting of silicon substrate caused by irradiation of the excimer laser. A user subroutine was used to incorporate the heat source into the model. A two-layer viscoplasticity model was used to describe the viscosity of silicon at the high temperature and at the molten state. Using this model, the effects of quartz mold on the transient process of heat transfer and molten depth were studied. The heat source provided by the excimer laser was incorporated through the body heat flux and surface heat flux respectively into the FEM model, and the effects of these two types of heat source on the temperature filed and deformation during LADI process were studied. The results of our simulation can be used to compare with the experimental results, and provide more information for better parameter setting in experiments.

    中文摘要.......................................................................................I 英文摘要......................................................................................II 誌謝.............................................................................................III 目錄.............................................................................................IV 表目錄.........................................................................................VI 圖目錄.........................................................................................VI 符號表..........................................................................................X 第一章 緒論..................................................................................1 1.1 研究動機與目的.....................................................................1 1.2 本文內容與組織.....................................................................2 第二章 奈米壓印技術與文獻回顧..............................................5 2.1 奈米壓印技術介紹.................................................................5 2.2 奈米壓印問題分析之文獻回顧.............................................7 第三章 反射率理論推導............................................................12 3.1 光在多層介質中的反射率與穿射率推導...........................12 3.2 光在一層介質中之反射率與穿射率計算...........................16 3.3 光在兩層介質中之反射率與穿射率計算...........................18 第四章 雷射加熱之熱傳導分析模擬........................................24 4.1 雷射加熱理論.......................................................................24 4.2 雷射加熱於材料之熱傳導行為...........................................26 4.2-1 材料無相變化時問題探討................................................27 4.2-2 材料有相變化時問題探討................................................27 4.3 一維熱傳導之有限元素數值模型建立與分析...................29 4.3-1 一維熱傳導模型之正規化................................................29 4.3-2 建立有限元素熱傳導模型與結果比較............................31 4.3-3 根據反射率理論計算熱源及分析結果............................34 第五章 雷射輔助式奈米壓印之熱傳導與變形分析模擬........52 5.1 雷射輔助式奈米壓印之問題描述.......................................52 5.2 雷射輔助式奈米壓印之有限元素數值模型建立...............53 5.3 有限元素數值結果...............................................................55 5.3-1 使用體熱通量設定熱源模擬熱傳導與變形問題............56 5.3-2 使用表面熱通量設定熱源模擬熱傳導與變形問題........58 5.4 數值結果討論.......................................................................60 第六章 結論................................................................................79 參考文獻.....................................................................................81 自述.............................................................................................84

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