Elastic analysis of a mode II crack in an icosahedral quasicrystal
Zhu Ai-Yu(祝爱玉)a)† and Fan Tian-You(范天佑)b)
a Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; b Department of Physics, School of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract Based on the displacement potential functions, the elastic analysis of a mode II crack in an icosahedral quasicrystal is performed by using the Fourier transform and dual integral equation theory. By the solution, the analytic expressions for the displacement field and stress field are obtained. The asymptotic behaviours of the phonon and phason stress fields around the crack tip indicate that the stresses near the crack tip exhibit a square root singularity. The most important physical quantities of fracture theory, crack stress intensity factor and energy release rate, are evaluated in an explicit version.
Received: 12 September 2006
Revised: 16 October 2006
Accepted manuscript online:
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