期刊文献+

一维六方准晶中椭圆孔边动态裂纹口问题的解析解

Analytic Solution of An Propagating Elliptic Hole With An Dynamic Edge Crack in One-Dimensional Hexagonal Quasicrystals
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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
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  • 1皮建东,刘官厅,郭怀民.一维六方准晶狭长体中共线裂纹问题的精确解[J].内蒙古师范大学学报(自然科学汉文版),2006,35(4):391-396. 被引量:23
  • 2FAN Tianyou. A study on the specific heat of a one- dimensional quasicrystal[J]. J Phys Condensed Matter, 1991,11(45) : L513-L517.
  • 3FAN Tianyou, LI Xianfang, SUN Yingfei. A moving screw dislocation in a one-dimensional hexagonal quasierystals[J]. Acta Phys Sinica: Overseas Edition, 1999,8 (4) :288-295.
  • 4LI Xianfang, FAN Tianyou. A straight dislocation in one dimensional hexagonal quasicrystals [J]. Phys Stat: B, 1999,212(1):19-26.
  • 5刘官厅.准晶弹性的复变方法与非线性发展方程的显式解[M].呼和浩特:内蒙古人民出版社,2005.
  • 6Ding Dihua,Yang Wenge,Hu Chengzheng,et al.Linear elasticity theory of quasicrystals and defects in quasicrystals[J].Mater Sci Fourum,1994,150-151:345-354.
  • 7Ding Dihua,Yang Wenge,Hu Chengzheng,et al.Generalized elasticity theory of quasicrystals[J].Phys Rev B,1993,48 (10):7 003-7 010.
  • 8Liu Guanting,Fan Tianyou,Guo Ruiping.Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals[J].Int J Solids and Structures,2004,41(14):3949-3959.
  • 9Peng Yanze,Fan Tianyou.Perturbation theory of 2D decagonal quasicrystals[J].Physica B,2002,311(3/4):326-330.
  • 10Fan Tianyou.A study on the specific heat of a one-dimensional hexagonal quasicrystal[J].J Phys Condensed matter,1991,11(45):L513-L517.

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