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应用应力函数法 ,求解了二维十次对称准晶中的Ⅱ型Griffith裂纹问题· 特点是把二维准晶的弹性力学问题分解成一个平面应变问题与一个反平面问题的叠加 ,通过引入应力函数 ,把平面应变问题的十八个弹性力学基本方程简化成一个八阶偏微分方程 ,并且求出了其在Ⅱ型Griffith裂纹情况的混合边值问题的解 ,所有的应力分量和位移分量都用初等函数表示出来 ,并且由此得出了准晶中Ⅱ型Griffith裂纹问题的应力强度因子和能量释放率
The stress function method is used to solve the type Ⅱ Griffith crack problem in two-dimensional ten-order symmetry quasicrystals. The characteristic is to decompose the elastic mechanics problem of two-dimensional quasicrystals into the superposition of a plane strain problem and an anti-plane problem. By introducing stress Function, the eighteen basic equations of elasticity for a plane strain problem are reduced to an eight-order partial differential equation, and the solution of the mixed boundary value problem for a type Ⅱ Griffith crack is obtained. All the stress and displacement components It is expressed by the elementary function, and the stress intensity factor and the energy release rate of the Type Ⅱ Griffith crack in quasicrystal