立方准晶材料的剪切裂纹问题  

Crack Problem Under Shear Loading in Cubic Quasicrystal

作　　者：周旺民[1] 范天佑[2] 尹姝媛[1] 

机构地区：[1]河北建筑科技学院数理系 [2]北京理工大学应用物理系,北京100081

出　　处：《应用数学和力学》2003年第6期637-643,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19972011)

摘　　要：　通过引入位移函数,使得立方准晶的轴对称弹性问题归结为求解一个高阶偏微分方程·　在此基础上,研究了立方准晶含有圆盘状裂纹的剪切问题,得到了此问题弹性场的精确解析解。The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher_order partial differential equation by introducing a displacement function. Based on the work, the analytic solutions of elastic field of cubic quasicrystal with a penny_shaped crack under the shear loading are found, and the stress intensity factor and strain energy release rate are determined.

关 键 词：立方准品 剪切裂纹 应力强度因子 

分 类 号：O346.1[理学—固体力学] O346.11[理学—力学]