一维六方准晶中螺形位错与楔形裂纹的相互作用  

A screw dislocation interacting with a wedge-shaped crack in one-dimensional hexagonal quasicrystals

作　　者：李联和[1] 刘官厅[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《物理学报》2012年第8期326-330,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11026175;11061019);内蒙古自治区自然科学基金(批准号:2009MS0102;2009BS0104);内蒙古自治区高等学校科学研究基金(批准号:NJ08024;NJ10047)资助的课题~~

摘　　要：采用保角映射方法和扰动技巧,研究了一维六方准晶中螺形位错和半无限楔形裂纹的相互作用.讨论了位错的位置和楔形角对作用在位错上的力的影响,得到了应力强度因子和作用在位错上的力的解析解.此外,还详细地讨论了位错对裂纹的影响.当楔形角参数λ=1/2时,半无限楔形裂纹退化成半无限尖裂纹,相应的结果可以作为特殊情况而直接得到.The interaction between a screw dislocation and a semi-infinite wedge-shaped crack in one-dimensional hexagonal quasicrystal is investigated by the conformal transformation method and the perturbation technique. Analytical solutions are obtained for the stress intensity factor of crack, and the force on dislocation. The effects of the dislocation location and the wedge angle on the image force of the dislocation are revealed. At the same time the influence of the dislocation on crack behaviour is also discussed in detail. The corresponding results of the sharp crack can be obtained as a special case of the present solutions （i.e. λ = 1/2）.

关 键 词：准晶 位错 楔形裂纹 

分 类 号：O73[理学—晶体学]