Representative volume elements for plasticity and creep measured from high-resolution microscale strain fields

Vieira, R. B.; Şehitoğlu, Hüseyin; Lambros, John

doi:10.1016/j.actamat.2021.117021

Cited by 11 publications

(1 citation statement)

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“…More details of the experimental method are given in. [ 26,27 ] Here we will restrict ourselves to presenting only a sampling of the experimental results and rather we will concentrate on describing the methodology for stereological extraction of RVE size. Figure 1 shows examples of the resulting axial strain field obtained measured using HiDIC for two austenitic stainless steel 709 samples.…”

Section: High‐resolution Dic (Hidic) Grain‐scale Strain Fieldsmentioning

confidence: 99%

Measuring representative volume elements from high‐resolution grain‐scale strain fields

Vieira

Lambros

2022

Strain

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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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Section: High‐resolution Dic (Hidic) Grain‐scale Strain Fieldsmentioning

confidence: 99%