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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/97365

    Title: Dynamic Crack Propagation in Piezoelectric Materials Subjected to Dynamic Body Forces for Vacuum Boundary
    Authors: Chen, Xi-Hong;Ma, Chien-Ching;Ing, Yi-Shyong
    Contributors: 淡江大學航空太空工程學系
    Keywords: Crack propagation;Piezoelectric material;Superposition;Dynamic stress intensity factor;Dynamic electric displacement intensity factor
    Date: 2007-09
    Issue Date: 2014-03-19 13:18:15 (UTC+8)
    Publisher: Cambridge: Cambridge University Press
    Abstract: The problem of a semi-infinite propagating crack in the piezoelectric material subjected to a dynamic anti-plane concentrated body force is investigated in the present study. It is assumed that between the growing crack surfaces there is a permeable vacuum free space, in which the electrostatic potential is nonzero. It is noted that this problem has characteristic lengths and a direct attempt towards solving this problem by transform and Wiener-Hopf techniques [1] is not applicable. This paper proposes a new fundamental solution for propagating crack in the piezoelectric material and the transient response of the propagating crack is determined by superposition of the fundamental solution in the Laplace transform domain. The fundamental solution represents the responses of applying exponentially distributed loadings in the Laplace transform domain on the propagating crack surface. 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 [2,3] of Laplace inversion and are expressed in explicit forms. Finally, numerical results based on analytical solutions are calculated and are discussed in detail.
    Relation: Journal of Mechanics 23(3), pp.229-238
    DOI: 10.1017/S172771910000126X
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Journal Article

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