Multiple potential discontinuous bifurcation model for jointed rocks and its application

In the framework of the multiple potential surface elasto-plastic theory, the discontinuous bifurcation model used to simulate the failure of the jointed rocks is presented in this paper. Classical localization analysis is performed to the tangent stiffness tensor, thus the condition for discontinuous bifurcation is derived. Numerical method is formulated to calculate localization directions. With the aid of FEM, analysis is made on several corresponding specimen with initial distributed cracks under tension and compression.