Abstract In the present work, static thermoelastic bounds for a composite with spheroidal isotropic inclusions embedded in an isotropic matrix are calculated. Using the Green’s function derived for the thermoelastic case by Valdiviezo-Mijangos, et al., (2009) and the variational formulation for anisotropic composites developed by Willis (1992), thermoelastic bounds are explicitly obtained. In the case of the thermal expansion coefficient, the results are also compared with experimental data as well as with the Rosen-Hashin bounds. A good agreement among the bounds, the self-consistent method and the experimental data is shown.

中文翻译：

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复合材料整体性能的热弹性边界和自洽估计

摘要 在目前的工作中，计算了具有嵌入各向同性基体中的球状各向同性夹杂物的复合材料的静态热弹性边界。使用 Valdiviezo-Mijangos 等人 (2009) 为热弹性情况导出的格林函数和 Willis (1992) 开发的各向异性复合材料的变分公式，可以明确获得热弹性边界。在热膨胀系数的情况下，结果还与实验数据以及 Rosen-Hashin 界限进行了比较。显示了边界、自洽方法和实验数据之间的良好一致性。