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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Three-phase inclusions of arbitrary shape with internal uniform hydrostatic thermal stresses
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Three-phase inclusions of arbitrary shape with internal uniform hydrostatic thermal stresses

机译：具有内部均匀静水热应力的任意形状的三相夹杂物

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摘要

We investigate the internal thermal stress field of a three-phase inclusion of arbitrary shape which is bonded to an infinite matrix through an interphase layer. The three phases have different thermoelastic constants. It is found that the internal thermal stress field induced by a uniform change in temperature can be uniform and hydrostatic within an inclusion of elliptical or hypotrochoidal shape when the thickness of the interphase layer is properly designed for given material parameters of the three-phase composite. Several examples are presented to demonstrate the solution. The thermal stress analysis of a (Q + 2)-phase inclusion of arbitrary shape with Q ≥ 2 is also carried out under the assumption that all the phases except the internal inclusion share the same elastic constants. It is found that the irregular inclusion shape permitting internal uniform hydrostatic thermal stresses becomes really arbitrary if a sufficiently large number of interphase layers are added between the inclusion and the matrix.
机译：我们研究了任意形状的三相夹杂物的内部热应力场，该夹杂物通过相间层键合到无限大的矩阵上。三相具有不同的热弹性常数。发现当针对三相复合材料的给定材料参数适当地设计相间层的厚度时，由温度的均匀变化引起的内部热应力场在包含椭圆形或次摆线形状的范围内可以是均匀的并且是静水的。提供了一些示例来演示该解决方案。假设Q≥2的任意形状的（Q + 2）相夹杂物的热应力分析也是在以下假设条件下进行的：内部夹杂物以外的所有相都具有相同的弹性常数。已经发现，如果在夹杂物和基体之间添加足够数量的相间层，则允许内部均匀的静水热应力的不规则夹杂物形状实际上变得任意。

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