Generalized self-consistent scheme for the effective behavior of viscoelastic heterogeneous media: A simple approximate solution.
Generalized self-consistent scheme for the effective behavior of viscoelastic heterogeneous media: A simple approximate solution.
复制标题
DOI：
10.1016/j.euromechsol.2012.10.009
复制
发表时间：
2013-05
影响因子：
4.1
通讯作者：
H. Hoang-Duc;G. Bonnet;F. Meftah
中科院分区：
文献类型：
--
作者：
H. Hoang-Duc;G. Bonnet;F. Meftah
本文给出了弹性夹杂浸没在粘弹性矩阵中时，线性粘弹性非均匀介质的有效性态的简单近似解。拉普拉斯-卡森空间的解由广义自洽模型得到，简化为拉普拉斯逆变换的显式表示。结果表明，Laplace-Carson空间中的解可以用一个方便的有理分式来近似，它显式地给出了粘弹性参数的函数。这提供了一种执行拉普拉斯逆变换的简单方法。提供了典型复合材料的例子，包括可能的空洞和刚性夹杂，并表明该方法提供了相当准确的结果。此外，在某些情况下，可以提供完整的流变学表示，以描述有效介质的行为。
This paper gives a simple approximate solution for obtaining the effective behavior of linear viscoelastic heterogeneous media for the case of elastic inclusions immersed within a viscoelastic matrix. The solution in the Laplace–Carson space is obtained by the Generalized self-consistent model and the simplification is in an explicit expression of the inverse Laplace transform. It is shown that the solution in Laplace–Carson space can be approximated by a convenient rational fraction which is given explicitly as a function of viscoelastic parameters. This provides an easy way to perform the inverse Laplace transform. Examples of typical composites, including possibly void and rigid inclusions, are provided and show that the procedure provides reasonably accurate results. In addition, a complete rheological representation can be provided in some cases for describing the behavior of the effective medium.