К исследованию состояния системы множественных штолен под действием нормальных и сдвиговых нагрузок

Abstract

The method for studying the boundary value problems modeling multilayer structures with multiple interlayer bulkheads, developed in the works of scientists of the SSC RAS and KubSU, is generalized in this paper to the vector case of a general spatial problem.A complementary approach is presented, allowing analyzing the result of vertical and shearing effectson partitionsof ore formation. As a substrate and a coating layer, we consider homogeneous elastic layers that possess the same physical and mechanical properties but have different thicknesses.The boundary of the coating layer is considered free of stress. Linear static equations for the Kirchhoff plate system are used to describethe state of the ore formation. The block element method used in the work allowed us to reduce the boundary value problem for two elastic layers separated by a plate with a set of parallel linear holes to a system of integral equations of the Fredholm type solvableby the integral factorization method. The described approach can be applied to the study of different-sized block structures on other scales.