Analysis of microstructural strain tensors for granular assemblies

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Analysis of three-dimensional micro-mechanical strain formulations for granular materials: evaluation of accuracy (2010, methodology): “…and Rothenburg, 1996] were very accurate, with errors closeto 1%, whereas the contact-based best-fit strain of Liaoet al. [Liao et al., 1997] and the Cosserat strain of Kruyt [Kruyt, 2003] failed to reproduce the macroscopic deformation, with errors of about 20% and 10%, respectively [Bagi, 2006a].”
Fabric evolution within shear bands of granular materials and its relation to critical state theory (2011, methodology): “A number of methods e.g. [28–33] for calculating strains in discrete granular particle assemblies have been proposed in the literature, and rigorous reviews and evaluations of these methods were conducted by Cambou [34], Bagi [35], and Durán et al. [36].”
All you need is shape: Predicting shear banding in sand with LS-DEM (2018, methodology): “2 Local Behavior In this study, the local results are found by looking at particle quantities with respect to their neighboring particles; specifically, the strain in the vicinity of each particle, which is computed using Cundall’s best-fit strain [4], which represents the average deformation of a s”