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Elastic field near the tip of an anticrack in a decagonal quasicrystalline material

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Abstract

We investigate the elastic field near the tip of an anticrack in a homogeneous decagonal quasicrystalline material subject to plane strain deformations. The phonon and phason stresses exhibit a square root singularity at the anticrack tip. Two real-valued phonon stress intensity factors and two real-valued phason stress intensity factors are introduced to scale four separate modes of deformation. We obtain four analytic functions which completely characterize the induced phonon and phason stresses as well as the displacement field. In particular, we derive a concise yet elegant representation of the anticrack contraction force.

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, 10-203 Donadeo Innovation Centre for Engineering, University of Alberta, Edmonton, Alberta, T6G 1H9, Canada

    P. Schiavone

Authors
  1. Xu Wang
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  2. P. Schiavone
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Correspondence to P. Schiavone.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11272121) and the Natural Sciences and Engineering Research Council of Canada (No. RGPIN-2017-03716115112)

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Wang, X., Schiavone, P. Elastic field near the tip of an anticrack in a decagonal quasicrystalline material. Appl. Math. Mech.-Engl. Ed. 41, 401–408 (2020). https://doi.org/10.1007/s10483-020-2582-8

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  • DOI: https://doi.org/10.1007/s10483-020-2582-8

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2010 Mathematics Subject Classification

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