Drucker–Prager Model

The Drucker–Prager model is a pressure-dependent model that is widely applied for the study of granular materials like soils, rock, and concrete. A strip footing on soil was analyzed by O. C. Zienkiewicz. The problem was analyzed using the Drucker–Prager model in ANSYS190. The model’s convergence pattern was compared with that of the Mohr–Coulomb model. The whole soil area was constrained in the normal directions of the boundary and the two ends of the arch were constrained with all degrees of freedom. A 2D finite element model of a soil–arch interaction was developed, in which the soil was modeled by the Drucker–Prager model. The stress state and plastic strain distribution were obtained after the solution was complete. Compared to the Mohr—Coulomb model, the Drucker—Prager model converges quickly because the yield surface of the Drucker—Prager model is smooth, and the standard Newton—Raphson method is applied to solve the nonlinear equations.