A General Block Stability Analysis Algorithm for Arbitrary Block Shapes

In rock engineering, block theory is a fundamental that aims to analyze the finiteness, removability, and mechanical stability of convex blocks under different engineering conditions. practice, possible combinations fractures joint sets may generate key can be identified by stereographic projection graphs theory. However, classic does not provide solutions for nonconvex blocks, which are very common in civil projects, such as those with underground edges, corners, portals. To enhance availability theory, general algorithm removability arbitrary shapes proposed this paper. algorithm, pyramid computed, faces grouped according their normal vectors parallel or nonadjacent sliding same vector immediately when mode determined. With analyzed, users do need have experience interpreting take advantage its accuracy effectiveness. The was verified several benchmarking examples, it further applied investigate left bank slope dam. results showed correct, effective, feasible use design support excavation complex masses.