Measuring representative volume elements from high‐resolution grain‐scale strain fields
Measuring representative volume elements from high‐resolution grain‐scale strain fields
复制标题
测量高分辨率颗粒尺度应变场中的代表性体积元素
DOI：
10.1111/str.12423
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发表时间：
2022
期刊：
影响因子：
2.1
通讯作者：
Lambros, John
中科院分区：
文献类型：
--
作者：
B. Vieira, Renato;Lambros, John
大多数晶体材料在微观尺度上呈现出高度非均匀的响应，这可能受到内部因素（如微观结构参数）和外部因素（如载荷）的影响。将材料的微观不均匀性与宏观响应相关联需要使用均化技术，通常基于代表性体积元素（RVE）的概念-代表全局平均响应的材料的最小体积。在这项工作中，我们提出了一种新的和强大的实验方法来测量基于应变的RVE的大小，从使用数字图像相关（DIC）获得的高分辨率晶粒尺度应变场。所提出的方法是基于统计（体视学）的RVE，这已被广泛采用的数值研究的性质，并涉及到划分成随机选择的不同大小的区域的应变场和统计分析的平均应变在其中的分布。为了验证新的方法，我们产生了大量的合成应变场的分数高斯噪声算法。所提出的体视学方法被证明是能够产生可靠的RVE测量从一个非常大的范围内可能的微尺度应变场，而在同一时间是强大的，它可以产生RVE测量结果，即使在其他现有的方法可能无法做到这一点的情况下。所提出的方法对视场的要求较低，仅需要约为RVE 1.2倍的视场即可进行可靠的测量。此外，体视学方法提供了显著的灵活性，因为其统计性质允许控制在每种情况下RVE测量的严格程度。
Most crystalline materials present a highly heterogeneous response at the microscale, which can be affected by both internal factors (such as microstructural parameters) and external factors (such as loading). Relating microscale inhomogeneities to the macroscale response of a material requires the use of homogenisation techniques, usually based on the concept of a representative volume element (RVE)—the smallest volume of material that represents the global average response. In this work, we present a new and robust experimental method of measuring the size of a strain‐based RVE from high‐resolution grain‐scale strain fields obtained using digital image correlation (DIC). The proposed method is based on the statistical (stereological) nature of the RVE, which has been widely adopted in numerical studies, and involves dividing a strain field into randomly selected regions of varying sizes and statistically analysing the distributions of average strains within them. To validate the new method, we generate a large number of synthetic strain fields from a fractional Gaussian noise algorithm. The proposed stereological method is shown to be capable of producing reliable RVE measurements from a very large range of possible microscale strain fields while at the same time being robust in that it can produce RVE measurement results even in cases where other existing methods may be unable to do so. The proposed method has a low field‐of‐view requirement, only needing a field‐of‐view about 1.2 times as large as the RVE to produce reliable measurements. In addition, the stereological method offers significant flexibility since its statistical nature allows for control over how strict the RVE measurement should be in each case.
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