表面裂紋承受反平面移動動力載荷之暫態全場解析與計算

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Title:	表面裂紋承受反平面移動動力載荷之暫態全場解析與計算
Other Titles:	Analysis and Calculation of Transient Response of a Surface Crack Subjected to a Dynamic Anti-Plane Moving Loading
Authors:	林瑞庭;Lin, Jui-Ting;應宜雄;Ing, Yi-shyong
Contributors:	淡江大學航空太空工程學系
Keywords:	表面裂縫;動態破壞;應力強度因子;移動負載Surface Crack;Dynamic Fracture;Stress Intensity Factor;Moving Loading
Date:	2000
Issue Date:	2013-03-22 19:33:05 (UTC+8)
Abstract:	本文利用拉普拉斯域之裂紋曳引力與位移基本解以及引用Cagniard-de Hoop積分路徑變換法，來分析垂直表面裂紋受一沿邊界等速移動動力點載荷之動力破壞問題，透過拉普拉斯轉換域中基本解的疊加與映射法的分析，獲得時域中之應力、位移與應力強度因子的完整顯式解，且理論上此解析解適用於應力波經長時間後的探討與分析。數值結果顯示，隨著載荷移動速度越快，相同觀察點所得到的應力值在入射波與反射波通過後則衰退的越快，在三次繞射波與反射波通過後則漸趨於零。而應力強度因子則隨著載荷移動速度加快，在一次繞射波通過後即迅速衰退，在三次繞射波通過後則亦漸趨於零。 In this study, the transient full-field solution of a surface cracksubjected to a dynamic anti-plane moving loading is investigated. Thesolution is determined by superposition of proposed fundamentalsolutions in the Laplace transform domain. The fundamental solutionsto be used are the problems for applying exponentially distributedtraction and screw dislocation on the crack faces and along the cracktip line, respectively. The exact transient closed form solutions ofstresses, displacement, and dynamic stress intensity factor areobtained and expressed in compact formulations. The solutions arevalid for an infinite length of time and have accounted for thecontributions of an infinite number of diffracted and reflected waves.Numerical calculations for a moving loading and a stationary loadingare evaluated and discussed in detail.
Relation:	八十九年度中華民國力學學會年會暨第二十四屆全國力學會議論文集=24th National Conference on Applied and Theoretical Mechanics, 頁N.A.(CD)
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Proceeding

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