摄动方法解二维十次准晶圆盘状裂纹问题  

Perturbation Method in Solving Elasticity Problems of Decagonal Quasicrystals Containing a Circular Crack

作　　者：彭彦泽[1] 范天佑[1] 

机构地区：[1]北京理工大学应用物理系,北京100081

出　　处：《北京理工大学学报》2001年第3期282-285,共4页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(K19972 0 11

摘　　要：用摄动方法解点群 10 mm,10 2 2 ,10 m2和 10 /mmm十次二维准晶包含一个圆盘状裂纹的弹性三维问题。首先引进一个量纲为 1的摄动参数ε=R/c11,其中 c11是声子场弹性常数 ,R是声子场相位子场耦合弹性常数 ,将平衡微分方程化简 ,然后寻找其摄动解。在 , 型加载条件下 ,分别求得近似到 O(ε2 )阶的应力强度因子。With the aid of perturbation method are solved elasticity problems of two dimensional decagonal quasicrystals with point groups 10mm, 1022, 10 m2 and 10/mmm containing a circular crack. By introducing a dimensionless perturbation parameter ε=R/c 11 , where c 11 and R are elastic constants of phonon field and phonon phason coupling, respectively, the equilibrium equations are simplified. And then their perturbation solutions are found. The asymptotic stress intensity factors are obtained up to O(ε 2) .

关 键 词：二维准晶 圆盘状裂纹 摄动方法 

分 类 号：O753.3[理学—晶体学] O346.1