Primary fracture propagation from circular cavities loaded in compression

Abstract

When a brittle elastic material containing a cavity is loaded in uniaxial compression, fractures may form in three basic positions around the cavity; at the tensile stress concentration (primary fracture), at positions inside the material remote from the perimeter of the cavity, and at the compressive stress concentration. Granite blocks containing a circular cavity of radius between 2.5 mm and 50 mm were tested in uniaxial compression to collect data on primary fracture propagation. The laboratory results indicate that primary crack propagation is a stable process at small scales but approaches instability at large scales. A finite width crack model is presented which is able to capture this scale dependent behavior. The model illustrates that both tensile and compressive stresses play an important role in the primary fracture process.