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一维六方准晶非周期平面内的平面应变理论

刘官厅 何青龙 郭瑞平

物理学报2009,Vol.58Issue(z1):118-123,6.
物理学报2009,Vol.58Issue(z1):118-123,6.

一维六方准晶非周期平面内的平面应变理论

The plane strain theory for one-dimensional hexagonal quasicrystals in aperiodical plane

刘官厅 1何青龙 1郭瑞平2

作者信息

  • 1. 内蒙古师范大学数学科学学院,呼和浩特,010022
  • 2. 兴安职业技术学院数学系,乌兰浩特,137400
  • 折叠

摘要

Abstract

Considering the plane elastic problem of one-dimensional hexagonal quasicrystals with point group 6mm, the theory about plane strain parallel to aperiodic direction is proposed and established. As an application of this theory, the analytic solutions of elastic fields of the quasicrystals with an elliptical cavity perpendicular to quasi-periodical direction are given in the form of general complex variable. In the limit case, our solutions degenerate into the ones of crack problems.

关键词

一维六方准晶/椭圆孔口/广义解析函数

Key words

one-dimensional hexagonal quasicrystals/elliptical cavity/general analytic function

分类

数理科学

引用本文复制引用

刘官厅,何青龙,郭瑞平..一维六方准晶非周期平面内的平面应变理论[J].物理学报,2009,58(z1):118-123,6.

基金项目

国家自然科学基金(批准号:10761005)资助的课题.Project supported by the National Natural Science Foundation of China (Grant No. 10761005). (批准号:10761005)

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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