Interface crack between dissimilar one-dimensional hexagonal quasicrystals with piezoelectric effect

KQ Hu, H Jin, Zhenjun Yang, X Chen

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    26 Citations (Scopus)
    47 Downloads (Pure)


    In this paper, an interface crack between dissimilar one-dimensional (1D) hexagonal quasicrystals with piezoelectric effect under anti-plane shear and in-plane electric loadings is studied. By using integral transform techniques, the mixed boundary value problem for the interface crack is reduced to the solution of singular integral equations, which can be further reduced to solving Riemann–Hilbert problems with an exact solution. An analytical full-field solution for phonon and phason stresses, electric fields and electric displacement in the cracked bi-materials is given, and of particular interest, the analytical expression of the phonon and phason stresses and electric displacements along the interface is obtained. The crack sliding displacements of the interface crack are provided, and it is found that the phonon and phason stress distributions inside the dissimilar quasicrystal material are independent of the material properties under the anti-plane shear and in-plane electric loadings. The results of the stress intensity factors energy release rate indicate that the crack propagation can either be enhanced or retarded depending on the magnitude and direction of the electric loadings.
    Original languageEnglish
    Pages (from-to)2455-2474
    Number of pages20
    JournalActa Mechanica
    Issue number7
    Early online date9 Apr 2019
    Publication statusPublished - 1 Jul 2019

    Bibliographical note

    The final publication is available at Springer via[10.1007/s00707-019-02404-z

    Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.


    • Interface crack
    • One-dimensional (1D) quasicrystal materials;
    • Singular integral equations
    • Riemann-Hilbert problem
    • Crack sliding displacement.

    ASJC Scopus subject areas

    • Mechanical Engineering
    • Computational Mechanics


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