Elastic analysis of a mode Ⅱ crack in an icosahedral quasicrystal

• 来源期刊: 中国物理（英文版）
• 关键词: icosahedral quasicrystal elasticity crack energy release rate
• 年，卷（期）: 2007,（4）
• 页码范围: 1111-1118
• 页数: 8页
• 语种: 英文

摘要

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.