Statistical Characterization of Boundary Kinematics Observed on a Series of Triaxial Sand Specimens

This paper follows up on a reference that inspired MDPI’s topic “Stochastic Geomechanics: From Experimentation to Forward Modeling”, in which the authors populated spatio–temporal database of boundary displacement fields from series triaxial sand specimens using three-dimensional (3D) digital image correlation analysis. The was curated and is currently available scientific community for further study. uses subset this database, experimental conditions were similar, statistically investigate dominant kinematic phenomena observed under compression. first-order 3D operators cylindrical coordinates, comprised divergence, curl, gradient, applied illustrate localization deformation patterns including translational, rotational, shearing, volumetric behaviors throughout compression processes. Subsequently, statistics results are estimated, with aim revealing evolution associated effects as well their corresponding uncertainties space time. research provide an innovative statistical interpretation soil stress conditions. proposed approach advances granular material’s responses conditions, while opening opportunity reproduce through constitutive modeling or machine learning techniques.