Solutions for dynamic variants of Eshelby's inclusion problem

被引：0

作者：

Michelitsch, Thomas M. ^{[1
]}

Askes, Harm ^{[1
]}

Wang, Jizeng ^{[2
]}

Levin, Valery M. ^{[3
]}

机构：

[1] Univ Sheffield, Dept Civil & Struct Engn, Mappin St, Sheffield S1 3JD, S Yorkshire, England

[2] Max Planck Inst Met Res, D-70569 Stuttgart, Germany

[3] Inst Mexicano Petr, Mexico City 07730, DF, Mexico

来源：

VIBRATION PROBLEMS ICOVP 2005 | 2007年 / 111卷

关键词：

dynamic variants of Eshelby inclusion problem; Helmholtz potentials; retarded potentials; wave equation; Helmholtz equation;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The dynamic variant of Eshelby's inclusion problem plays a crucial role in many areas of mechanics and theoretical physics. Because of its mathematical complexity, dynamic variants of the inclusion problems so far are only little touched. In this paper we derive solutions for dynamic variants of the Eshelby inclusion problem for arbitrary scalar source densities of the eigenstrain. We study a series of examples of Eshelby problems which are of interest for applications in materials sciences, such as for instance cubic and prismatic inclusions. The method which covers both the time and frequency domain is especially useful for dynamically transforming inclusions of any shape.

引用

页码：317 / +

页数：2

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