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.
出处
《应用数学和力学》
CSCD
北大核心
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)
