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利用积分变换技术,结合Copson方法,研究了SH波对一维六方准晶中快速传播裂纹的散射问题.通过对偶积分方程求解,得到声子场和相位子场应力、位移的解析表达式,同时给出了裂纹尖端标准动应力强度因子的定义.数值算例表明随着裂纹传播速度、裂纹长度、入射角、入射波频率增大,裂纹尖端标准动应力强度因子也在增大.当裂纹长度的增大到一定值时,裂纹的传播速度对标准动应力强度因子影响逐渐减小.研究结果在工程材料应用中有一定的参考价值.
Using integral transform technique and Copson method, we study the scattering problem of SH-wave in fast propagating crack in one-dimensional hexagonal quasicrystals. By solving the dual integral equation, the analytical expressions of stress and displacement in phonon field and phase sub-field are obtained, meanwhile, The definition of the standard dynamic stress intensity factor at crack tip is given.The numerical examples show that the standard dynamic stress intensity factor at crack tip also increases with the crack propagation velocity, crack length, incident angle and incident wave frequency increasing.When the crack length The crack propagation velocity decreases gradually to the standard dynamic stress intensity factor.The research results have certain reference value in the application of engineering materials.