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压电螺型位错与含非理想界面层圆形夹杂的干涉效应

方棋洪 冯慧 刘又文

应用数学和力学2013,Vol.34Issue(1):49-62,14.
应用数学和力学2013,Vol.34Issue(1):49-62,14.DOI:10.3879/j.issn.1000-0887.2013.01.006

压电螺型位错与含非理想界面层圆形夹杂的干涉效应

Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circularly Layered Inclusion With Imperfect Interfaces

方棋洪 1冯慧 2刘又文1

作者信息

  • 1. 湖南大学汽车车身先进设计制造国家重点实验室,长沙410082
  • 2. 湖南大学机械与运载工程学院,长沙410082
  • 折叠

摘要

Abstract

The interaction between a piezoelectric screw dislocation and an interphase layer in piezoelectric solids was theoretically investigated. Here, the dislocation located at arbitrary points inside either the matrix or the inclusion, and the interfaces of the interphase layer were imperfect. By complex variable method, the explicit solutions of complex potentials were given and electroelastic fields could be derived from them. The image force acting on the dislocation could be obtained by the generalized Peach-Koehler formula. The motion of the piezoelectric screw dislocation and its equilibrium positions were discussed for variable parameters. The important results show that, if the inner interface of interphase layer is imperfect and the magnitude of degree of interface imperfection reaches the certain value, two equilibrium positions of the piezoelectric screw dislocation in the matrix near the interface are found for certain material combination which has never been observed in previous studies (without considering the interface imperfection).

关键词

复合材料/位错/压电效应/力学性能

Key words

composite materials/ dislocations/ piezoelectricity/ mechanical properties

分类

数理科学

引用本文复制引用

方棋洪,冯慧,刘又文..压电螺型位错与含非理想界面层圆形夹杂的干涉效应[J].应用数学和力学,2013,34(1):49-62,14.

基金项目

国家自然科学基金资助项目(11172094 ()

11172095) ()

教育部新世纪人才基金资助项目(NCET-11-0122) (NCET-11-0122)

湖南大学汽车车身先进设计制造国家重点实验室自主课题基金资助项目(61075005 ()

51075001) ()

中央高校基础研究基金资助项目(湖南大学) (湖南大学)

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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