Abstract
In this work we developed a mathematical model that describes the deformation and failure of sandstone specimens subjected to the uniaxial compression. The model is based on the Drucker-Prager equation, as well as on the continuum damage mechanics. The numerical simulation was carried out utilizing finite-difference method. The simulation results show that post-peak behavior sufficiently determines the final fracture patterns of loaded specimens. Coalescence of small scale fractures into a macroscopic crack occurs a few share of deformation prior to axial stress turns to residual in loading diagram. Fracture patterns are represented by both tensile and shear cracks which indicates mixed mode of failure.
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