一维正方准晶的共线周期性裂纹问题的应力分析  

Stress Analysis for the Problem of One-dimensional Orthorhombic Quasi-crystals with Collinear Periodic Cracks

作　　者：冯中华[1] 刘官厅[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2012年第3期231-236,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10761005);内蒙古自然科学基金资助项目(2009MS0102)

摘　　要：通过构造势函数,利用半逆解法研究了一维正方准晶平行于准周期方向的共线周期性裂纹问题,给出了该问题的应力和应力强度因子的解析解.当裂纹间距趋于无穷时,共线周期性裂纹退化为Griffith裂纹,得到一维正方准晶平行于准周期方向裂纹问题的结果.Constructing a potential function,the problem of one-dimensional orthorhombic quasi-crystals with collinear periodic cracks in parallel to the quasi-periodic direction is investigated by using half-inverse method,and the analytical solutions of stress and the stress intensity factor about the problem are given explicitly.When the distance of adjacent cracks tends to infinite,collinear periodic cracks degenerate into Griffith crack,the results of one-dimensional orthorhombic quasi-crystals with crack in parallel to the quasi-periodic direction can be obtained.

关 键 词：一维正方准晶 应力强度因子 半逆解法 共线周期性裂纹 

分 类 号：O346.1[理学—固体力学]