Mathematical Modeling of Deformation and Failure of Salt Rock Samples
A. A. Baryakh, A. A. Tsayukov, A. V. Evseev, I. S. Lomakin
Mining Institute, Ural Branch, Russian Academy of Science, Perm, 614007 Russia
Keywords: Salt rocks, rib pillars, mechanical tests, elastoplastic model, strengthening, numerical modeling, deformation, failure
Abstract
In uniaxial compression tests of cubic samples, the authors measure displacements in the mid-cross section of the samples at different distances from side faces. The mathematical modeling of deformation of salt rock samples uses the elastoplastic model with linear isotropic strengthening and the associated flow rule. The plasticity condition is the three-dimension strength criterion reflective of shearing and tensile fracturing. The 3D FEM-based mathematical modeling is implemented in terms of displacements with discretization into 8-point isoparametric hexahedral elements. The mathematical model of deformation and failure of salt rock samples is calibrated using the calculation results. The elastoplastic model with linear isotropic strengthening ensures reasonable agreement between the experimental and theoretical data, and is applicable to estimating stability of rib pillars, critical lateral strain rates in the pillars and their remaining life.
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