在本文中我們使用了自行設計的高壓壓力腔作為主要實驗設備，完成了四個目標：(1檢驗)薄膜在受均向壓力的壓縮時，進入堵塞區域(jamming state)之後，持續加壓至1500 PSI的力學反應。(2)改採揉皺或裁剪過的薄膜，檢驗其對指數 的影響。(3) 證實在均向受壓的揉皺實驗中，所產生的爆裂聲(crackling noise) 同樣具有 的冪次方關係。(4)提出模型解釋為何指數 與材料性質相關。

We designed a high-pressure chamber that can sustain up to 1500 PSI, to study the crumpling process of a thin sheet under an ambient pressure. Special attention is devoted to the following four aspects: (1) having confirmed the power-law behavior in our previous efforts, we study the mechanical response of the thin sheet in the so-called jammed region, where the power-law behavior ceases. Upon the application of our highest pressure 1500 PSI, we confirm the internal structure of HDPE is polycrystalline instead of a single crystal. (2) We use a precrumpled or shredded sheet as the sample. Part of our motivation is to study (a) how these conditions affect the power-law behavior, (b) determine the percentage of work into the ridge formation. (3) Study the properties of crackling noises generated during the crumpling process. We confirm that the probability and energy of the noises obey the power-law relation. However, when the samples are preprocessed as in (2), the noises deviate from such a simple universal behavior. (4) A simple model is proposed to explain why the exponent of the power-law relation is sample-dependent, as opposed to the predictions of existing computer simulations..

中文摘要…………………………………………..…………………………………………………………………….…i
英文摘要…………………………………………………………………………………………………………………..ii
目錄.………………………………………………………………………………………………………………………...iii
第一章 緒論…………………………………………………………………………………………………………….1
第二章 文獻探討與研究動機
2.1文獻探討……………………………………………………………………………………………….………..4
2.2研究動機…………………………………………………………………………………………………………8
第三章 研究方法
3.1實驗原理…………………………………………………………………………………………………………9
3.2實驗裝置………………………………………………………………………………………………………...9
3.3實驗方法與步驟
3.3.1樣品壓縮…………………………………………………………………………………….………….10
3.3.2爆裂聲(crackling noise)強度與出現機率……………………………….………….……12
3.4 實驗數據
3.4.1 0 ~ 1500 PSI 高壓區段之揉皺實驗…………………………………..………………..13
3.4.2 重覆壓縮 (recrumpled sample)………………………………………..…………….….19
3.4.3 鋁箔裁切後進行揉皺實驗……………………………………………………………….…24
3.4.4 頻譜分析……………………………………………………………………………………………..26
3.4.5 爆裂聲強度與機率分析………………………………………………………….…………..31
第四章 實驗分析
4.1指數 與材料性質……………………………………………………………………………………...35
4.2指數 與結構破壞………………………………………………………………………………….…..40
4.3指數 與近似一維的長條狀薄膜…………………………………………………………….…41
第五章 結論………………………………………………………………………………………………….43
參考文獻…………………………………………………………………………………………………………..…44

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