摘要
利用复变函数方法,通过构造保角映射,分析了一维六方准晶中椭圆孔边动态裂纹的反平面剪切问题,给出了裂纹以速度v传播时的III型应力强度因子的动力学解.在极限情形下,还可以还原为圆形孔边裂纹,T型裂纹问题的动态应力强度因子.这些解在科学及工程断裂中有着潜在的应用价值.
By means of the complex variable function method and using the technique of conformal mapping,the problem about an elliptic hole with a dynamic edge crack in one-dimensional Hexagonal quasicrystals is solved and the solution of the dynamic stress intensity factor(SIFs) for mode III is obtained.When the crack velocity,the dynamic solution can reduce to the static solution.Under the condition of limitation,many new results can be obtained as well,including a circular hole with dynamic edge-crack,"T-shaped" dynamic edge crack.These solutions are with great potential in science engineering applications.
出处
《阴山学刊(自然科学版)》
2012年第2期9-13,共5页
Yinshan Academic Journal(Natural Science Edition)
基金
内蒙古自治区高等学校科学研究项目项目(NJZY11167&NJ10164)
关键词
一维六方准晶
椭圆孔边动态裂纹
T型裂纹
应力强度因子
复变函数方法
one-dimensional Hexagonal quasicrystals
an elliptic hole with a dynamic edge crack
"T-shaped"crack
stress intensity factor(SIFs)
complex variable function method