Closed Form Solution of the Exterior-Point Eshelby Tensor for an Elliptic Cylindrical Inclusion

被引：7

作者：

Kim, B. R. ^{[1
]}

Lee, H. K. ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Civil & Environm Engn, Taejon, South Korea

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2010年 / 77卷 / 02期

关键词：

micromechanics; tensors;

D O I：

10.1115/1.3197236

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

With the help of the I-integrals expressed by Mura (1987, Micromechanics of Defects in Solids, 2nd ed., Martinus Nijhoff, Dordrecht) and the outward unit normal vector introduced by Ju and Sun (1999, "A Novel Formulation for the Exterior-Point Eshelby's Tensor of an Ellipsoidal Inclusion," ASME Trans. J. Appl. Mech., 66, pp. 570-574), the closed form solution of the exterior-point Eshelby tensor for an elliptic cylindrical inclusion is derived in this work. The proposed closed form of the Eshelby tensor for an elliptic cylindrical inclusion is more explicit than that given by Mura, which is rough and unfinished. The Eshelby tensor for an elliptic cylindrical inclusion can be reduced to the Eshelby tensor for a circular cylindrical inclusion by letting the aspect ratio of the inclusion alpha=1. The closed form Eshelby tensor presented in this study can contribute to micromechanics-based analysis of composites with elliptic cylindrical inclusions.

引用

页码：1 / 5

页数：5

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