Abstract: Based on the method of stress functions, a solution of the problem of mode-Ⅱ Griffith crack in decagonal quasicrystals is presented. Decomposing the problem of two-dimensional quasicrystal into a plane strain state problem superposed an anti-plane state problem, so that the problem is solved and stress intensity factor and strain energy release rate are determined.

Key words: mode-Ⅱ Griffith crack, two-dimensional quasicrystal, stress function, stress intensity factor, strain energy release rate