立方准晶材料的裂纹问题  

Crack problem in cubic quasicrystalline material

作　　者：尹姝媛[1] 周旺民[1] 王念鹏[1] 

机构地区：[1]河北建筑科技学院基础部,河北邯郸056038

出　　处：《河北建筑科技学院学报》2001年第2期56-59,共4页Journal of Hebei Institute of Architectural Science & Technology

基　　金：国家自然科学基金(19972011)资助

摘　　要：本文通过引入位移函数使得立方准晶的轴对称弹性问题化为求解一高阶偏微分方程。作为轴对称问题的例子，得到了立方准晶含有圆盘状裂纹时其弹性场的分析解，并由此确定了应力强度因子和能量释放率。Axisymmetric elasticity problem of cubic quasicrystal is reduced to a solution of a partial differential equation with higher-order by introducing displacement function. As an example of axisymmetric elasticity problem, the analytic solutions of elastic field of cubic quasicrystal with a penny-shaped crack are obtained, and the stress intensity factor and strain energy release rate are determined.

关 键 词：立方准晶 位移函数 分析解 应力强度因子 裂纹 能量释放率 弹性场 

分 类 号：O733.2[理学—晶体学] O346.1