臺灣博碩士論文加值系統

移動荷重作用於彈性半無窮空間這樣的問題在工程上是非常重要的，其結果可以用來計算在此彈性半無窮空間之應力分佈。Sneddon (1951)使用連體力學得到此問題之解，他把材料考慮為連續體。但是我們知道在自然界中之固體，在微觀下其實是不連續的微觀結構。
　　一個按照幾何原理和按照自然規律的微觀力學理論由Granik和Ferrari (1993)提出。他們應用其微觀力學理論於集中荷重作用在半無窮彈性粒狀空間這樣的問題。我們知道在一樣的情況下，連體力學所得到之應力於此彈性半無窮空間都是壓應力。這跟荷重作用在粒狀材料上產生張力裂縫(tensile openings)現象有很大的對比。而這個現象可以由微觀應力來解釋，並且顯示出微觀應力在特定的區域為張力。
　　因此，本研究應用由Granik和Ferrari (1993)發展之微觀力學理論於移動荷重作用在半無窮彈性粒狀空間之此問題。最後對此動態問題所得出來的微觀應力進行分析，並且討論宏觀應力與微觀應力之差異。

摘要 I
Abstract II
目錄 III
表目錄 V
圖目錄 VI
符號說明 IX
第一章　緒論 1
1.1　研究背景 1
1.2　研究目的 2
1.3　研究方法 2
1.4　論文內容 3
第二章　文獻回顧 4
2.1　彈性模式下移動荷重作用在彈性半空間之平面問題 4
2.1.1　亞音速情況(Subsonic speed) 5
2.1.2　近音速情況(Transonic speed) 6
2.1.3　超音速情況(Supersonic speed) 7
2.2　DM之Flamant問題 8
第三章　Doublet Mechanics之介紹 10
3.1　DM之微觀結構 10
3.2　DM之微觀應變 11
3.3　DM之微觀運動方程式與邊界條件 14
3.4　微觀應力與宏觀應力之關係 16
3.5　線彈性均質粒狀材料之組成律 17

第四章　DM之移動荷重作用於半無窮域平面問題 21
4.1　DM之移動荷重作用於半無窮域平面問題 21
4.2　結果與討論 25
4.2.1　集中荷重之移動速度 28
4.2.2　集中荷重之移動速度 28
4.2.3　荷重移動速度對微觀應力 之影響 29
4.2.4　微觀應力與宏觀應力之差異 29
4.2.5　小結 30
第五章　結論與建議 52
5.1　結論 52
5.2　建議 53
參考文獻 54

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