PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK |
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| Authors: | Peng Yan-ze and Fan Tian-you |
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| Institution: | Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Perturbation method for solving elastic three-dimensional (3D) problems for 3D icosahedral quasicrystals is proposed. Considering an infinite 3D icosahedral quasicrystal weakened by a circular crack, we obtain the uniformly valid asymptotic solutions up to O(R2) for the mode I loading, where R is the elastic constant of phonon-phason coupling. |
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| Keywords: | icosahedral quasicrystal circular crack perturbation method |
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