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

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Abstract

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.

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Acknowledgements

The authors would like to thank the reviewers’ insightful comments which greatly improved the quality of the paper.

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Authors and Affiliations

  1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada

    Keqiang Hu

  2. Department of Engineering Mechanics, Southeast University, Nanjing, 210096, China

    Hui Jin

  3. Research Center for Built and Natural Environment, Coventry University, Coventry, CV1 5FB, UK

    Zhenjun Yang

  4. School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Xi Chen

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  1. Keqiang Hu
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  4. Xi Chen
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Hu, K., Jin, H., Yang, Z. et al. Interface crack between dissimilar one-dimensional hexagonal quasicrystals with piezoelectric effect. Acta Mech 230, 2455–2474 (2019). https://doi.org/10.1007/s00707-019-02404-z

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