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姓名 陳彥澈(Yen-Tse Chen)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 一般顆粒體與可破裂顆粒體在單向度束制壓縮作用下之力學行為
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摘要(中) 本研究使用離散元素法(Discrete Element Method, DEM)模擬顆粒體在一圓柱容器內受到單向度束制壓縮時的力學行為,探討的內容分為三部分:(1)不同的顆粒間與顆粒-牆壁間摩擦係數、顆粒間恢復係數對一般顆粒體受到壓縮時力學傳遞性質的影響。(2)不同堆積結構對一般顆粒體受到壓縮時力學傳遞性質的影響。(3)鍵結強度對於可破裂顆粒體受到壓縮時力學傳遞性質的影響,以及探討其粉碎的機制。研究結果顯示:(1)當顆粒-牆壁間摩擦係數增加時,靠近壁面的顆粒體越來越不易移動,故靠近上壓板區域的平均配位數逐漸減少,且範圍往下蔓延,而顆粒間摩擦係數增加時,顆粒發生排列運動的機會減少,造成上壓板區域的顆粒堆發生硬化現象,且硬化的範圍相較於增加顆粒-牆壁間摩擦係數的情況來得大,所以造成靠近上壓板邊壁區域平均配位數降低的範圍較大。(2)在水平面接觸力數目所佔比例與方位關係圖中,無論堆積結構為何,分佈面積皆隨著高度的增加,逐漸減少,除了Random堆積結構在每一高度的分佈大致呈現均向性分佈,其餘堆積結構每一高度的分佈則呈現異向性分佈。(3)當壓縮載重達到4000N時,增加單方向或是兩方向鍵結強度時,皆使得顆粒體的支撐能力增加,進而造成顆粒體的勁度增加。靠近上壓板區域的接觸力強度逐漸增加是由於顆粒體隨著鍵結強度的增加,發生破裂的機會減少,此一現象使得能量不易消散造成接觸力容易向下傳遞,影響範圍也往下蔓延。此外,垂直方向的接觸數目所佔比例與方位關係,在分佈狀況並沒有隨著鍵結強度的增加有明顯變化,不同高度也沒有分佈上的差異,有趣的是分佈均在低接觸角度的分佈較高,呈現異向性分佈。
摘要(英) The purpose of this study is to investigate the mechanical response of a granular assembly under confined compression by using discrete element modelling. The effects of inter-particle friction coefficient, particle-wall friction coefficient, inter-particle restitution coefficient, and packing structure on the internal physical properties of the unbroken particles were extensively examined. The packing structures studied here include FCC, BCC, HCP and random configurations. In addition, the effect of bond strength on the mechanical behaviour and the pulverization mechanism of the crushable particles was also examined. Several key findings are highlighted as follows: (1) As the particle-wall friction increases, the average coordination number of the region near the upper circumference gradually reduces. Similarly, the average coordination number of the upper region decreases with the increase of the inter-particle friction. This also makes the hardening area extend from top to bottom; (2) For the four packing structures studied here, the contact number generally decreases with the increase of height. Only random packed structure exhibits uniform distribution of the contact orientation in the horizontal plane, whereas BCC, FCC and HCP packed structures show anisotropic distributions. The contact forces in all the four packing structures show a strongly anisotropic distribution in the vertical plane; (3) As the bond strength increases in one direction or both directions, the self-supporting capacity of granular assemblies is enhanced, leading to strong loading stiffness. In addition, the contact force intensity increases with bond strength. The enhancement of bond strength does not tend to dissipate the system energy, so the contact forces can transmit into the deeper depth. However, the orientation distribution of contact forces in the vertical plane does not change significantly with the increase of bond strength, and exhibits strongly anisotropic characteristics, especially for a large portion with low contact angles.
關鍵字(中) ★ 單向度束制壓縮
★ 可破裂顆粒體
★ 離散元素法
★ 摩擦係數
★ 堆積結構
★ 鍵結強度
關鍵字(英) ★ Crushable particles
★ Confined compression
★ DEM
★ friction coefficient
★ Packing structure
★ Bond strength
論文目次 摘要 i
Abstract ii
目錄 iii
附表目錄 v
附圖目錄 vi
第一章 緒論 1
1-1 顆粒體 1
1-2 顆粒體的壓縮模擬 1
1-3 顆粒體在壓縮過程的接觸力傳遞與接觸力大小的數量分佈 4
1-4 研究動機 6
1-5 研究架構 6
第二章 數值架構 8
2-1 離散元素法 8
2-1-1 牛頓運動方程式 8
2-1-2 離散元素法之接觸力模型 10
2-1-3 接觸鍵結模式及破壞準則 (The Contact-Bond Model) 15
2-1-4 時間步的決定 15
2-2 離散元素法建模 16
2-3 內部性質 18
2-3-1 顆粒粒子體積佔有率 18
2-3-2 平均配位數 19
2-3-3 應力 19
2-3-4 摩擦啟動因子 21
2-3-5 接觸力分佈函數 22
第三章 結果與討論 23
3-1 摩擦係數與恢復係數對一般顆粒體承受單向度束制壓縮時力學行為的影響 23
3-2 顆粒體堆積結構對一般顆粒體承受單向度束制壓縮時力學行為的影響 33
3-3 顆粒鍵結強度對可破裂顆粒體承受單向度束制壓縮時力學行為的影響 38
第四章 結論 44
參考文獻 47
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指導教授 鍾雲吉(Yun-Chi Chung) 審核日期 2017-11-21
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