In this paper, a systematic approach is presented to obtain the stress fields in a linear elastic body where a spherical inclusion surrounded by a spherical annulus is embedded in an unbounded matrix phase. The entire body is subject to far-field uniform strain. A formulation is carried out for the hydrostatic part and the deviatoric part of the far field strain separately. The obtained formula for the stress field is in closed form, which is new.

中文翻译：

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三相球面夹杂问题的应力场

在本文中，提出了一种系统的方法来获得线性弹性体中的应力场，在该线性弹性体中，被球形环面包围的球形夹杂物嵌入无界基体相中。整个身体都受到远场均匀应变的影响。分别对远场应变的静水部分和偏斜部分进行了计算。所获得的应力场公式为封闭形式，这是新的。