Numerical methods to determine effective elastic properties
Numerical methods to determine effective elastic properties
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DOI：
10.1016/j.ijengsci.2008.01.005
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发表时间：
2008-06
影响因子：
6.6
通讯作者：
E. Saenger
中科院分区：
文献类型：
--
作者：
E. Saenger
非均质材料的有效弹性性质在文献中被广泛讨论。我们讨论和回顾了从数字化材料样品中确定有效弹性值的不同数值方法的应用范围和精度。最近的例子是为了说明。虽然大多数有效介质理论的使用仅限于有限数量的几何图形，但数值方法的可能应用范围要广泛得多。从给定的微结构中提取有效弹性性质有两种基本不同的数值方法。这两种方法都对尺寸效应很敏感。静力方法可以通过应用均匀应力或均匀位移边界条件来解决这一问题。对于动态波传播模拟，主导波长与典型包裹体尺寸的比值是最关键的因素。
Effective elastic properties for heterogeneous materials are widely discussed in the literature. We discuss and review the application range and accuracy of different numerical approaches to determine those effective elastic values from digitized material samples. Recent examples are used for illustration. Whereas the use of most effective-medium theories is restricted to a limited number of geometries the possible application range of numerical methods is much wider. There are two fundamental different numerical methods to extract effective elastic properties from a given microstructure. Both approaches are sensitive to size effects. Static methods can address this problem by applying uniform stress or uniform displacement boundary conditions. For dynamic wave propagation simulations the ratio of the dominant wavelength to the typical inclusion size is the most crucial factor.