|
|||||
|
|
Interaction of a dislocation with an elliptical hole in icosahedral quasicrystals |
|
| Authors: | Lian He Li Guan Ting Liu |
| Affiliation: | 1. College of Mathematics Science, Inner Mongolia Normal University , Huhhot , 010022 , China;2. Key Laboratory of Nanomagnetic and Functional Material, College of Physical Science and Technology, Inner Mongolia University , Hohhot , 010021 , China nmglilianhe@163.com;4. College of Mathematics Science, Inner Mongolia Normal University , Huhhot , 010022 , China |
| Abstract: | The interaction between a dislocation and an elliptical hole in icosahedral quasicrystals is considered. An explicit expression for the complex potential is derived using the extended Stroh formalism. Based on the conformal mapping method and a perturbation technique, closed-form solutions are obtained. The field intensity factors at a crack tip and the image forces on the dislocation arising from the crack are calculated. The effects of phonon–phason elastic coupling on the mechanical behavior are also observed. |
| Keywords: | icosahedral quasicrystal elliptical hole dislocation Stroh formalism Griffith crack |