Transient Analysis of Dynamic Crack Propagation in Piezoelectric Materials
學年 95
學期 2
出版（發表）日期 2007-06-01
作品名稱 Transient Analysis of Dynamic Crack Propagation in Piezoelectric Materials
作品名稱（其他語言）
著者 應宜雄; Chen, Xi-hong; Ma, Chien-ching
單位 淡江大學航空太空工程學系暨研究所
出版者 Taipei : Chinese Institute of Chemical Engineers
著錄名稱、卷期、頁數 Journal of the Chinese Institute of Engineers=中國工程學刊 30(3), pp.491-502
摘要 In this paper, the transient analysis of semi‐infinite propagating cracks in piezoelectric materials subjected to dynamic anti‐plane concentrated body force is investigated. The crack surface is assumed to be covered with an infinitesimally thin, perfectly conducting electrode that is grounded. In analyzing this problem, it has characteristic lengths and a direct attempt towards solving this problem by transform and Wiener‐Hopf techniques (Noble, 1958) is not applicable. In order to solve this problem, a new fundamental solution for propagating cracks in piezoelectric materials is first established and the transient response of the propagating crack is obtained by superposition of the fundamental solution in the Laplace transform domain. The fundamental solution to be used is the responses of applying exponentially distributed traction in the Laplace transform domain on the propagating crack surface. Taking into account the quasi‐static approximation, exact analytical transient solutions for the dynamic stress intensity factor and the dynamic electric displacement intensity factor are obtained by using the Cagniard‐de Hoop method (Cagnard, 1939; de Hoop, 1960) of Laplace inversion and are expressed in explicit forms. Numerical calculations of dynamic intensity factors are evaluated and the results are discussed in detail. The transient solutions for stationary cracks have been shown to approach the corresponding static values after the shear wave of the piezoelectric material has passed the crack tip.
關鍵字 Electrode boundary;Crack propagation;Piezoelectric material;Superposition;Dynamic stress intensity factor;Dynamic electric displacement intensity factor
語言 en
ISSN 0253-3839
期刊性質 國內
收錄於
產學合作
通訊作者
審稿制度
國別 TWN
公開徵稿
出版型式 紙本
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