Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions
Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions
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DOI：
10.1177/002199837400800407
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发表时间：
1974-04
影响因子：
2.9
通讯作者：
K. Wakashima;M. Otsuka;S. Umekawa
中科院分区：
文献类型：
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作者：
K. Wakashima;M. Otsuka;S. Umekawa
对由基体和椭球形夹杂物组成的两相材料的整体热膨胀特性进行了理论研究。计算是基于Eshelby的理论上的转换问题，一个近似的方法来考虑有限浓度的夹杂物的影响。处理了弹性基体-弹性夹杂和弹塑性基体-弹性夹杂两种情况。当夹杂物的形状为球形、圆盘形和纤维形时，可以明确地获得结果。对于弹性基体-弹性球的情况，计算的总的热膨胀系数与Kerner的预测一致。
A theoretical study has been made to predict overall thermal expansion characteristics of a two-phase material consisting of a matrix and aligned ellipsoidal inclusions. The calculation is based on Eshelby's theory on the transformation problem; an approximate method is Introduced to account for the effect of finite concentrations of the inclusions. The following two cases are treated: elastic matrix-elastic inclusions and elastoplastic matrix- elastic inclusions. The results are explicitly obtained when shapes of the inclusions are spherical, disc-shaped, and fiber-shaped. The calculated over all thermal expansion coefficient for the case of elastic matrix-elastic spheres agrees with Kerner's prediction.