The behaviour of a material near to a crack is considered at nonlinear shear strain. The plane problem of the nonlinear theory of elasticity in the variation form is solved. Some variants of boundary conditions are used. The numerical results received by a finite element method are presented.
The rock in a rock mass is in a tense equilibrium. This equilibrium is usually broken when mining operations are stopped. There are many theories related to rock pressure in the stoping zone. Obviously, the solution of problems on this subject is associated with the study of deformation and dislocation processes of rocks in the workings and mine shaft. Since it is difficult to conduct grandiose full-scale experiments, these problems have to be solved by new developed methods, which are very universal and informative.
An algorithm for selecting a mathematical model of the rock massif is presented. The finite difference method is used as a numerical solution method. The case of nonlinear rock deformation process is considered.
