Anti-Plane Elasticity Problem and Mode Ⅲ Crack Problem of Cubic Quasicrystal  

立方准晶的反平面问题与Ⅲ型裂纹问题(英文)

作　　者：周旺民[1] 范天佑[1] 尹姝媛[2] 王念鹏[2] 

机构地区：[1]北京理工大学应用物理系,北京100081 [2]河北建筑科技学院基础部,河北邯郸056038

出　　处：《Journal of Beijing Institute of Technology》2001年第3期250-254,共5页北京理工大学学报（英文版）

基　　金：NationalNaturalScienceFoundation(19972 0 11)

摘　　要：The fracture theory of cubic quasicrystal was developed. The exact analytic solution of a Mode Ⅲ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, and so the displacement and stress fields, the stress intensity factor and strain energy release rate were determined. The results show that the stress intensity factor is independent of material constants, and the strain energy release rate is dependent on all material constants. These provide important information for studying the deformation and fracture of the new solid material.发展了立方准晶材料的断裂理论 .通过应用Fourier分析和对偶积分方程理论 ,得到了立方准晶材料Ⅲ型裂纹问题的精确解析解 ,并由此确定了位移与应力场 ,应力强度因子和应变能释放率 .结果表明 ,应力强度因子与材料常数无关 ,而应变能释放率依赖于所有的材料常数 .这些为研究此新固体材料的变形和断裂提供了重要的信息 .

关 键 词：anti  plane elasticity problem Mode Ⅲ crack cubic quasicrystal stress intensity factor strain energy release rate 

分 类 号：O753.3[理学—晶体学]