平面五次对称准晶中的应力强度因子

北京邮电大学学报 ›› 1998, Vol. 21 ›› Issue (4): 62-65.

平面五次对称准晶中的应力强度因子

郭玉翠, 范天佑

北京邮电大学基础科学部, 北京 100876;
北京理工大学材料科学研究中心, 北京 100081

收稿日期:1997-12-29 出版日期:1998-09-10
基金资助:

Stress Intensity Factor of Pentagonal Quasicrystals

Guo Yucui,Fan Tianyou

Department of Basic Science, Beijing University of Posts and Telecommunications, Beijing 100876
Reseach Center of Materrial Science, Beijing Institute of Technology, Beijing 100081

Received:1997-12-29 Online:1998-09-10
Supported by:

摘要/Abstract

摘要： 引入一组新的应力函数来讨论平面五次对称准晶的弹性力学问题.将问题中的18个弹性力学基本方程简化成一个高阶偏微分方程, 并且应用Fourier变换和对偶积分方程方法, 求解了平面五次对称准晶结构中的Griffith裂纹问题, 得到了应力强度因子和应变能释放率, 它们是研究材料变形和断裂的关键物理量.

关键词: 应力强度因子, 准晶, 裂纹, 应力函数, 能量释放率

Abstract: A set of new stress functions are introduced for analyzing the elasticity of pentagonal quasicrystals.By which the 18 basic equations on coupling phonon-phason fields are reduced to a single higher-order partial differential equation and its solution for a Griffith crack boundary problem of pentagonal quasicrystals is obtained by applying Fourier transform and dual integral equations.The stress intensity factor and strain energy release rate areworked out which are the key physical quantities for studying the deformation and fracture of the material.

Key words: stress intensity factor, quasicrystal, griffith crack, stress function, energy release rate

中图分类号:

郭玉翠, 范天佑. 平面五次对称准晶中的应力强度因子[J]. 北京邮电大学学报, 1998, 21(4): 62-65.

Guo Yucui,Fan Tianyou. Stress Intensity Factor of Pentagonal Quasicrystals[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 1998, 21(4): 62-65.