The bearing capacity of strip footings on unsaturated soils is studied using slip line theory. The suction profiles considered are non-uniform with depth and correspond to vertical flow of water by infiltration or evaporation. The slip line theory assumes a plastic equilibrium state of a Mohr-Coulomb soil in which suction influences are included using the effective stress concept. This paper sh...

The failure of rocks subjected to a general state of stress (σ1 ≥ σ2 ≥ σ3) has been studied since the pioneering true triaxial experiments conducted by Mogi [1]. In true triaxial tests, cuboidal specimens are subjected to fixed, and typically unequal, σ3 and σ2, while σ1 is increased until failure occurs (expressed by σ1 at failure, or σ1,peak). For each constant σ3, σ2 is varied from test to t...

Under the action of working surface tillage unit, three mutually perpendicular stresses and corresponding deformations occur in soil layer, which are characterized by different time functions. The finding these functional relationships is fundamental task agricultural mechanics, with help process crumbling physical mechanical properties can be described interaction bodies. article presents an a...

We introduce a discrete element simulation for the hydraulic fracture process in a petroleum well which takes into account the elastic behavior of the rock and the Mohr-Coulomb fracture criterium. The rock is modeled as an array of Voronoi polygons joined by elastic beams, which are submitted to tectonical stresses and the hydrostatic pressure of the fracturing fluid. The fluid pressure is trea...

ABSTRACT: In this paper, shakedown limits of non-homogeneous soils in a half-space under rolling and sliding surface loads are investigated. The inhomogeneity of the soil is described by a power law for the variation of Young’s modulus with the depth. Mohr-Coulomb criterion is employed to characterise the cohesive-frictional behaviour of the soil. Analytical solutions to the elastic stress fiel...

Frictional and frictionless granular materials in a split-bottom ring shear cell geometry show wide shear bands under slow, quasi-static deformation. Here, the differences between frictional and frictionless materials are elaborated using discrete element simulations (DEM). Several continuum fields like the density, the velocity field, the deformation gradient and the stress are used here for c...

Particle degradation and fracture play an important role in natural granular flows and in many applications of granular materials. We analyze the fracture properties of two-dimensional disklike particles modeled as aggregates of rigid cells bonded along their sides by a cohesive Mohr-Coulomb law and simulated by the contact dynamics method. We show that the compressive strength scales with tens...

We systematically investigate the incremental response of various equilibrium states of dense 2D model granular materials, along the biaxial compression path (σ11 < σ22, σ12 = 0). Stress increments are applied in arbitrary directions in 3dimensional stress space (σ11,σ22,σ12). In states with stable contact networks we compute the stiffness matrix and the elastic moduli, and separate elastic and...

The shallow shelf approximation is a better “sliding law” for ice sheet modeling than those sliding laws in which basal velocity is a function of driving stress. The shallow shelf approximation as formulated by Schoof [2006a] is well-suited to this use. Our new thermomechanically coupled sliding scheme is based on a plasticity assumption about the strength of the saturated till underlying the i...

A natural slope undergoing recurrent movements caused by rainfall-induced groundwater table rises is studied using a novel method. The strength and displacement parameters are back-calculated force-equilibrium-based finite method (FFDM) based on the first event of movement recorded in monitoring period. Slope displacements response to subsequent predicted FFDM material parameters. Important fac...