Studies on Fracture of Rock Blocks

摘要

To describe deformation of rock blocks with a fracture under breaking loading, a system of singular integral equations is derived and the numerical results are discussed. A rock mass is a set of blocks, which have different sizes and shapes. While rock blocks with fractures undergo arbitrary loading, either in-situ or in a laboratory, we have to find displacements of their contours and to study their stress state. It is highly interesting for practicians to study propagation of fractures in plates of limited dimensions, but there are no analytical solutions for such cases. To find a fracture criterion, we need to calculate the crack opening, as experimentally the crack opening is possible to obtain when at accessible points only. When loading in a massif results from translational and rotary motion of geoblocks [2], the mentioned calculation is difficult as we need to consider the mechanism of material transformation from a state of compaction to a state of weakening along many directions [3]. So, it is important to study loading of bodies with artificial cracks. The present investigation proposes to apply a superposition method to arbitrary loading of blocks, i.e. to take into account interaction between the blocks, in the framework of the contact problem by Hertz [4, 5].