博碩士論文 111322087 詳細資訊




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姓名 林鈺澍(Yu-Chu Lin)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 利用物質點法探討金屬板靶於子彈衝擊下之行為
(Investigations of the Behaviors of Metal Plate Targets Under Bullet Impact Using the Material Point Method)
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摘要(中) 長久以來,子彈撞擊對於標靶之破壞行為(或可稱穿刺行為)一直是國防工業歷久不衰的研究主題。相關研究文獻顯示,標靶材料之組成、彈頭幾何形狀與撞擊入射角都將與破壞行為息息相關。故此,本研究即基於過往研究中之實驗結果,透過數值模擬方法中之物質點法探討子彈撞擊於金屬薄板的力學行為,藉由改變彈頭幾何形狀、入射角度和初始速度探討此些條件與撞擊後破壞行為之關係。
而本論文選用物質點法為計算方法之主因為,物質點法系歸屬於力學數值方法中之質點法,有別於網格法,物質點法對於大變形、高速撞擊與破壞行為有計算上之優勢。
有鑑於此,本論文將物質點法之計算成果與文獻中之實驗與有限元素法模擬分析之成果相互比擬,探討子彈撞擊模擬之適用組成律、破壞模型、力學特性等以及最重要的物質點法之適用性。此一系列相關成果預期可作為質點法、破裂力學、彈道衝擊等研究領域之參考資料。
摘要(英) For a long time, the behavior of bullet impacts on targets, also known as penetration behavior, has been a persistent research topic in the defense industry. Relevant research literature indicates that the composition of target materials, the geometry of the bullet, and the angle of impact are all closely related to the damage behavior. Therefore, this study, based on experimental results from previous research, investigates the mechanical behavior of bullet impacts on metal plates using the Material Point Method (MPM) in numerical simulations. By varying the bullet geometry, angle of incidence, and initial velocity, this study explores the relationship between these conditions and the damage behavior post-impact.
The primary reason for selecting the Material Point Method as the computational method in this paper is that MPM belongs to the category of particle methods in numerical mechanics. Unlike mesh-based methods, MPM has computational advantages for large deformations, high-speed impacts, and damage behavior.
In view of this, this paper compares the computational results of MPM with experimental and finite element method (FEM) simulation results from the literature. It explores the applicable constitutive laws, damage models, mechanical properties, and, most importantly, the applicability of MPM for simulating bullet impacts. This series of related results is expected to serve as reference material for research fields such as particle methods, fracture mechanics, and ballistic impacts.
關鍵字(中) ★ 物質點法
★ 廣義插值物質點法
★ 彈道衝擊
★ 動能耗損
關鍵字(英) ★ Material Point Method
★ Generalized Interpolation Material Point Method
★ Ballistic Impact
★ Kinetic Energy Dissipation
論文目次 摘要 ii
Abstract iii
致謝 iv
圖目錄 vii
表目錄 x
第一章 緒論 1
1-1 前言 1
1-2 研究動機與目的 2
1-2-1 研究動機 2
1-2-2 研究目的 2
1-3 研究流程 3
1-4 論文架構 4
第二章 文獻回顧 5
2-1 子彈撞擊過往研究介紹 5
2-2 目標研究文獻介紹 5
2-3 彈塑性模型介紹 6
2-3-1 Johnson-cook介紹 6
2-3-2 von Mises 介紹 6
2-4 物質點法(MPM)介紹 7
2-5 拉格朗日法與歐拉法介紹 8
2-6 廣義插值物質點法(GIMP)介紹 10
第三章 研究方法 11
3-1 物質點法的由來 11
3-2 物質點法之控制方程式 12
3-3 建構背景網格的形函數 13
3-3-1 有限元素法之形函數 13
3-3-2 物質點法背景網格之映射形函數 15
3-3-3 廣義插值物質點法背景網格之映射形函數 18
3-4 標準物質點法與廣義插值物質點法之比較 23
3-5 物質點法之分析流程 24
3-6 材料模型介紹 26
3-7 物質點法相關設定 30
第四章 研究結果 34
4-1 破壞準則之導入 34
4-2 物質點法分析成果驗證 38
4-2-1 鈍形子彈分析成果驗證 39
4-2-2 錐形子彈分析成果驗證 43
4-2-3 半球形子彈分析成果驗證 46
4-3 子彈初始速度之效應 50
4-4 子彈入射角度之效應 51
4-5 子彈之幾何形狀比較 53
4-5-1 穿刺能力比較 54
4-5-2 撞擊效果比較 55
4-6 非平面靶體之模擬分析 61
第五章 結論 65
5-1 數值模擬結論 65
5-2 數值分析方法問題整理 66
5-3 建議 67
參考文獻 68
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指導教授 蘇昱臻(Yu-Chen Su) 審核日期 2024-7-29
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