Rowe's stress–dilatancy relation for frictional (cohesion-less) materials has been a cornerstone of soil mechanics. The original derivation of this relationship was based on incorrect energy minimisation considerations, but the relationship was proven later by De Josselin de Jong using friction laws, and has been confirmed by a large body of experimental results. In contrast, the validity of Ro...

foundations behavior is affected by soil behavior which can vary from dilative to contractive depending on the stress level, particularly in dense frictional soils. the zero extension lines (zel) method has been generally developed to predict the foundations behavior. knowledge of soil behavior enables the zel method to predict the general and local shear failure modes. in this paper, a relativ...

calculation of lateral earth pressure on retaining walls is one of the main issues in geotechnics. the upper and lower bound theorems of plasticity are used to analyze the stability of geotechnical structures include bearing capacity of foundations, lateral earth pressure on retaining walls and factor of safety of slopes. in this paper formulation of finite element limit analysis is introduced ...

soil slopes are sometimes curved in plan rather than being straight. this curvature,especially when it is convex, decreases the bearing capacity of the slope. finite element methodhas been used here in this research to investigate the reducing effect of curvature on bearingcapacity of a slope. failure of soil has been assumed to be according to mohr-coulomb criteria;but the flow rule of the soi...

Three-dimensional (3D) limit analysis of stability of slopes is presented. Such analyses are not common because of the difficulties in constructing three-dimensional mechanisms of failure in frictional soils. While examples of 3D translational failure patterns are known, no admissible rotational mechanisms for frictional soils have been described in the literature. A class of admissible rotatio...

The peak and critical state strengths of sands are linearly related to the stress level, just as the frictional resistance to sliding along an interface is related to the normal force. The analogy with frictional sliding has led to the use of a 'friction angle' to describe the relationship between strength and stress for soils. The term 'friction angle' implies that the underlying mechanism is ...

The question of extending limit analysis to materials with a non-associated flow rule is an old but important one. Many frictional soils, such as sands and drained clays, do not display the large volume change upon shearing that is predicted by an associated flow rule, thus calling into question the collapse loads that are found from the classical limit theorems. This question is important in p...

This paper addresses the challenges of creating realistic models soil for simulations heavy vehicles on weak terrain. We modelled dense soils using discrete element method with variable parameters surface friction, normal cohesion, and rolling resistance. To find out what type can be represented, we measured internal friction bulk cohesion over 100 different virtual samples. test model, simulat...