Thermo-elastic properties of random composites with unidirectional anisotropic short-fibers and interphases
Thermo-elastic properties of random composites with unidirectional anisotropic short-fibers and interphases
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DOI：
10.1016/j.euromechsol.2018.01.002
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发表时间：
2018-07
期刊：
影响因子：
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通讯作者：
L. Nazarenko;H. Stolarski;H. Altenbach
中科院分区：
文献类型：
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作者：
L. Nazarenko;H. Stolarski;H. Altenbach
对具有各种各向异性界面相模型的横向各向同性、平行、短纤维、随机复合材料有效性能的热力学分析方法是本工作的原始贡献。它建立在两个基本的先前发展的新颖组合之上。一个是这些作者最近引入的能量等效非均匀性的概念，并在这里扩展到包括热效应。它将有间期的问题转化为没有间期的问题。另一个发展是条件矩法，很久以前被引入来分析无界面的随机复合材料。因此，该方法是等效非均匀性思想的完美匹配。它们共同为分析难以用其他方法解决的问题提供了一个强大的工具。此外，还得到了复合材料有效弹性刚度张量与有效热膨胀系数的封闭关系。为了证明该方法的通用性，本文首次讨论了含有随机分布的具有各向异性界面的单向短纤维的复合材料。因此，不能对数值算例进行比较评价。我们只在无限光纤的少数特殊情况下作了比较，这些情况已有一些较早的解，结果一致得非常好。其中包括Gurtin-Murdoch和spring层模型。
An approach to thermo-mechanical analysis of effective properties of transversely isotropic, parallel, short-fiber, random composites with various models of anisotropic interphases represents the original contribution of this work. It is founded on a novel combination of two basic prior developments. One is the concept of the energy-equivalent inhomogeneity, recently introduced by these authors, and extended here to include thermal effects. It transforms the problems with interphases to problems without interphases. The other development is the method of conditional moments, introduced long ago to analyze random composites without interphases. As such, the method is a perfect match for the idea of equivalent inhomogeneity. Together they provide a powerful tool for analysis of problems difficult to solve using other approaches. In addition, it leads to closed-form relations obtained for the effective elastic stiffness tensor and the effective coefficient of thermal expansion of composites. To demonstrate the versatility of the approach, composite containing randomly distributed unidirectional short fibers with anisotropic interphases is discussed here for the first time. As a result, the numerical examples could not be evaluated comparatively. Comparisons are made only in a few special cases of infinite fibers, for which some earlier solutions are available, and the agreement was found to be remarkably good. Both Gurtin-Murdoch and spring layer models of interphases have been included.