Evaluation of the Eshelby solution for the ellipsoidal inclusion and heterogeneity
Evaluation of the Eshelby solution for the ellipsoidal inclusion and heterogeneity
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DOI：
10.1016/j.cageo.2011.07.008
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发表时间：
2012-03-01
影响因子：
4.4
通讯作者：
Pollard, David D.
中科院分区：
文献类型：
--
作者：
Meng, Chunfang;Heltsley, Will;Pollard, David D.
我们提出了一个MATLAB代码，评估准静态弹性位移应变和应力场的椭球形夹杂物和异质性，Eshelby解决方案。我们首先介绍了基本的包含问题。然后我们描述了椭球夹杂内外弹性场的Eshelby解。我们介绍了包含和不均匀性问题之间的等价性，并阐述了代码的功能。最后，我们使椭球形夹杂物进行一系列的几何变换，以模拟一个椭球形夹杂物，一个二维椭圆形的空隙，和一个平面裂纹周围的弹性场是已知的或准确的近似。通过比较Eshelby解与已知解，我们得出结论，该码是有效的。通过这些仿真，我们表明Eshelby解可以包含许多特殊问题的统一形式。(C)2011爱思唯尔有限公司保留所有权利。
We present a MATLAB code that evaluates the quasi-static elastic displacement strain and stress fields for the ellipsoidal inclusion and heterogeneity, the Eshelby solution. We first give an introduction to the underlaying inclusion problem. Then we describe the Eshelby solution for the elastic field inside and outside an ellipsoidal inclusion. We introduce the equivalency between the inclusion and inhomogeneity problems and elaborate the code's functionalities. Finally, we make the ellipsoidal inclusion undergo a series of geometrical transformations to emulate a spheroid inclusion, a 2D elliptical void, and a planar crack for which the surrounding elastic field is either known or accurately approximated. By comparing the Eshelby solution against those known solutions, we conclude that the code is valid. By these emulations, we show that the Eshelby solution can encompass many special problems in a unified form. (C) 2011 Elsevier Ltd. All rights reserved.