衝擊荷重及呆荷重作用下彈性孔洞的動態反應

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姓名

杜應興(Ying-Hsing Tu) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

衝擊荷重及呆荷重作用下彈性孔洞的動態反應
(Dynamical Response of Void in a Neo-Hookean Sphere under Implusive Load and Dead Load)

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摘要(中)

本文探討橡膠材料中孔洞的動態擴張。橡膠材料在很多方面都有不少應用，如土木工程的建築物隔震器、機械方面的輪胎等等都有使用橡膠材料。本文採用的橡膠材料模型為新虎克材料模型。當施加的外力到達材料的臨界荷重時，橡膠材料孔洞會有不穩定擴張，可能會造成橡膠材料的局部分子結構破壞，而導致橡膠材料整體強度衰減，所以研究橡膠材料中孔洞動態擴張的行為，可提供研究橡膠材料強度衰減的學理根據。本文探討新虎克材料的空心圓球在衝擊荷重和呆荷重作用下其彈性孔洞的振動型態以及討論外力強度、速率對孔洞振動的影響。

摘要(英)

This thesis studies with the dynamical behavior of voids in rubbers. Rubber materials have been used in many areas, such as building isolation and wheel tires. When loadings reaches some critical value, the dynamical behavior of the voids in rubbers will change. We will focus on the unstable growth of the voids under implusive load and dead load. The patterns of vibration and maximum deformation of the void are analyzied by adjusting the intensity and speed of the loadings applied on the outer boundary of the rubber sphere.

關鍵字(中)

★ 材料強度衰減
★ 孔洞擴張
★ 橡膠材料

關鍵字(英)

★ Rubber
★ void growth
★ strength degradation

論文目次

目錄
內容頁次
摘要i
Abstractii
誌謝iii
目錄iv
圖目錄v
表目錄ix
第一章緒論1
第二章基礎理論2
2.1推導Neo-Hookean運動方程2
2.2孔洞的運動方程以及推導4
2.3 Micro-void的運動方程式推導6
第三章呆荷重對孔洞之影響8
3.1突然施加呆荷重對孔洞的影響8
3.2線性遞增呆荷重對孔洞的影響10
3.3階梯狀呆荷重對孔洞的影響 17
3.4 Micro-void的分析18
第四章衝擊荷重對孔洞的影響 52
4.1作用時間對位移放大比值影響52
4.2孔洞和荷重對放大比值的影響58
第五章結論84
第六章文獻回顧86

參考文獻

參考文獻
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指導教授

李顯智(Hin-Chi Lei)

審核日期

2011-1-26

推文