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    題名: Transient Analysis of Dynamic Crack Propagation in Piezoelectric Materials
    作者: 應宜雄;Chen, Xi-hong;Ma, Chien-ching
    貢獻者: 淡江大學航空太空工程學系暨研究所
    關鍵詞: Electrode boundary;Crack propagation;Piezoelectric material;Superposition;Dynamic stress intensity factor;Dynamic electric displacement intensity factor
    日期: 2007-06
    上傳時間: 2013-07-11 11:56:23 (UTC+8)
    出版者: Taipei : Chinese Institute of Chemical Engineers
    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.
    關聯: Journal of the Chinese Institute of Engineers=中國工程學刊 30(3), pp.491-502
    DOI: 10.1080/02533839.2007.9671277
    顯示於類別:[航空太空工程學系暨研究所] 期刊論文

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