二维准晶的一个断裂力学解

北京邮电大学学报 ›› 2001, Vol. 24 ›› Issue (4): 53-57.

二维准晶的一个断裂力学解

郭玉翠

北京邮电大学理学院, 北京 100876

收稿日期:2001-02-12 出版日期:2001-12-10
作者简介: 郭玉翠(1962-),女,北京邮电大学副教授,博士。
基金资助:

A Solution on Fracture Mechanics about Two Dimensional quasicrystals

GUO Yu-cui

Science School, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2001-02-12 Online:2001-12-10
Supported by:

摘要/Abstract

摘要： 通过引入应力函数,把二维十次对称准晶平面应变问题的十八个弹性力学基本方程简化成一个高阶偏微分方程,并且求出了其在Ⅱ型Griffith裂纹情况下的混合边值问题的解,所有的应力分量和位移分量都用初等函数表示出来,并且由此得出了准晶中Ⅱ型Griffith裂纹问题的应力强度因子和能量释放率。

关键词: Ⅱ型Griffith裂纹, 二维准晶, 应力函数, 应力强度因子, 应变能释放率

Abstract: Based on the method of stress functions, a solution of the problem of mode-Ⅱ Griffith crack in decagonal quasicrystals is presented. Decomposing the problem of two-dimensional quasicrystal into a plane strain state problem superposed an anti-plane state problem, so that the problem is solved and stress intensity factor and strain energy release rate are determined.

Key words: mode-Ⅱ Griffith crack, two-dimensional quasicrystal, stress function, stress intensity factor, strain energy release rate

中图分类号:

O346.1

O482.1

郭玉翠. 二维准晶的一个断裂力学解[J]. 北京邮电大学学报, 2001, 24(4): 53-57.

GUO Yu-cui. A Solution on Fracture Mechanics about Two Dimensional quasicrystals[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2001, 24(4): 53-57.