含可滲透界面裂紋之雙層壓電材料之暫態響應

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Title:	含可滲透界面裂紋之雙層壓電材料之暫態響應
Other Titles:	Transient Response of a Permeable Interface Crack in a Piezoelectric Layered Medium
Authors:	應宜雄;余智瑋
Contributors:	淡江大學航空太空工程學系
Keywords:	壓電;複合層板;裂紋;應力強度因子;動力破壞;Piezoelectric;Bimaterials;crack;Stress intensity factor;Dynamic fracture
Date:	2010
Issue Date:	2013-03-22 19:36:10 (UTC+8)
Publisher:	臺北縣淡水鎮 : 淡江大學航空太空工程學系
Abstract:	本文研究含可滲透界面裂紋之雙異質壓電複合層板受反平面均佈應力及平面電位移負載時之動力破壞問題，此有限長之界面裂紋假設為可滲透情況之邊界條件。解析時運用積分轉換法、柯西奇異積分方程法與切比雪夫多項式展開求得拉普拉斯轉換域下之裂紋尖端的之應力強度因子，再利用數值拉普拉斯逆轉換法求得時域中的暫態解。最後，對所求得之數值結果做詳盡的分析與討論。 In this study, the transient response of an interface crack in a piezoelectric layered medium is investigated. The composite layered medium is subjected to uniformly anti-plane mechanical impacts and in-plane electric displacement impacts under permeable boundary condition. The integral transform, Cauchy singular integral equation methods, and Chebyshev polynomial expansions are applied to obtain the solutions in the Laplace transform domain. Durbin's method is then used to carry out the numerical inversion of Laplace transform. The accuracy of numerical results is examined and the applicable numerical parameters are suggested by the experience of calculation. Finally, the numerical results are evaluated and discussed in detail.
Relation:	第七屆海峽兩岸航空太空學術研討會論文集，頁291-298
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Proceeding

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