On the computation of the Hashin–Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites
On the computation of the Hashin–Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites
复制标题
横向各向同性两相线弹性纤维增强复合材料的 Hashin-Shtrikman 界的计算
DOI：
10.1007/s10665-014-9777-3
复制
发表时间：
2015
影响因子：
1.3
通讯作者：
C. Calvo
中科院分区：
文献类型：
--
作者：
W. Parnell;C. Calvo
虽然在过去的几十年里，关于非均匀材料的有效弹性性质的Hashin-Shtrikman边界的各种形式已经被写下来，但是当材料不是简单类型（例如，各向同性主相内的各向同性球体）时，如何构造和计算这样的边界通常是不清楚的。在这里，我们将展示如何构建，在一个简单的方式，一般横向各向同性的两相颗粒复合材料的夹杂物相是球状的，其分布是由球状统计的Hashin-Shtrikman界限。请注意，这种情况下涵盖了多种复合材料的应用，通过采取各种限制的球体，包括分层介质和长单向复合材料。在这种情况下，特别感兴趣的是，相应的Eshelby和Hill张量可以解析导出。夹杂物的形状及其分布可以独立地确定，这在复合材料设计中具有很大的实用性。我们展示了几个例子的计算的实施。
Although various forms for the Hashin–Shtrikman bounds on the effective elastic properties of inhomogeneous materials have been written down over the last few decades, it is often unclear how to construct and compute such bounds when the material is not of simple type (e.g. isotropic spheres inside an isotropic host phase). Here, we show how to construct, in a straightforward manner, the Hashin–Shtrikman bounds for generally transversely isotropic two-phase particulate composites where the inclusion phase is spheroidal, and its distribution is governed by spheroidal statistics. Note that this case covers a multitude of composites used in applications by taking various limits of the spheroid, including both layered media and long unidirectional composites. Of specific interest in this case is the fact that the corresponding Eshelby and Hill tensors can be derived analytically. That the shape of the inclusions and their distribution can be specified independently is of great utility in composite design. We exhibit the implementation of the computations with several examples.