The Drucker–Prager Model and Its Integration

Abstract

The Drucker−Prager model was proposed by Drucker and Prager (1952) to describe the stress–strain behavior of pressure-dependent materials such as soil, rock, and concrete. The model uses in the stress space a conical failure surface whose projection in the octahedral plane is a circle and in the meridional plane is a line. In the octahedral plane, the circle is centered at the origin. In the meridional plane, the slope of the line represents the friction angle of the material and the intercept of the line represents the cohesion of the material. The failure surface is, therefore, a generalization of the Mohr−Coulomb failure surface (Chap. 9), represented by a smooth conical surface instead of the irregular hexagonal cone with corners. The details of the Drucker−Prager and Mohr−Coulomb failure surfaces are presented in Chap. 9.