八次对称二维准晶中的Ⅱ型裂纹  

A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals

作　　者：尹姝媛[1] 周旺民[1] 范天佑[2] 

机构地区：[1]河北建筑科技学院基础部,河北邯郸056038 [2]北京理工大学材料科学研究中心,北京100081

出　　处：《应用数学和力学》2002年第4期376-380,共5页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 (19972 0 11)

摘　　要：发展了八次对称二维准晶材料的断裂理论·　应用Fourier变换与对偶积分方程理论 ,得到了八次对称二维准晶材料Ⅱ型Griffith裂纹的精确解析解 ,并由此确定了应力强度因子和应变能释放率 ,讨论了与相位子场有关结果的物理意义以及晶体与准晶体裂纹问题力学行为的差别 。The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensity factor and strain energy release rate were determined, the physical sense of the results relative to phason and the difference between mechanical behaviors of the crack problem in crystal and quasicrystal were figured out. These provide important information for studying the deformation and fracture of the new solid phase.

关 键 词：八次对称二维准晶 Ⅱ型裂纹 八次对称二维准晶 应力强度因子 

分 类 号：O346.1[理学—固体力学] O753.2[理学—力学]