Abstract
In the study, based on a homogeneous anisotropic mechanical-mathematical model of an inclined, finely layered array with a biperiodic system of slots, the patterns of distribution of elastic stresses and displacements near two drifts of arbitrary profile shape and depth by the finite element method under conditions of plane deformation have been systematically numerically investigated.The calculation was carried out by converting weakened rocks with two excavations in elasticity to an equivalent homogeneous medium.It is difficult to solve the problem of the initial static stress state of two-diagonal workings on a rock weakened by two-period cracks by the analogous method, therefore it was solved by the generalized method of plane deformation using the first and second isoparametric elements by the finite element method.Methods for dividing the area specified by the finite element method into parametric quadrangular elements and numerically determining the stress-strain state of double workings are given.A computational algorithm has been developed and a software package has been developed for studying the elastic state of adjacent cavities of arbitrary depth and shape.A multivariate numerical calculation and analysis of the influence on the components of stresses and displacements near cavities, geometrical, physical parameters of rocks was carried out.