We study the scalar elasto-plastic model in two (2d) and three dimensions (3d) under the presence of an imposed shear-rate, following the modifications proposed by Nicolas et al. [1] to the model of Picard and coworkers [2, 3]. An amorphous system is represented by a coarsegrained scalar field σ(r, t), denoting the instantaneous deviatoric shear stress of the system at spatial position r and ti...

This paper proposes a novel way to solve transient linear, and non-linear solid dynamics for compressible, nearly incompressible, incompressible material in the updated Lagrangian framework tetrahedral unstructured finite elements. It consists of mixed formulation both displacement pressure, where momentum equation continuum is complemented with pressure that handles incompresibility inherently...

Abstract The triaxial mechanical properties of hybrid basalt–polypropylene fibre-reinforced concrete (HBPRC) were investigated in detail. different effects micro-basalt fibre (BF) and micro-polypropylene (PF) on the revealed. strength criterion for HBPRC was established. results showed that hydrostatic behaviour, volumetric strain, peak deviatoric stress, elastic modulus, Poisson’s ratio are af...

Direct numerical simulation data bases for compressible homogeneous shear ow are used to evaluate the performance of recently proposed Reynolds stress closures for compressible turbulence. Three independent pressure-strain models are considered along with a variety of explicit compressible corrections that account for dilatational dissipation and pressure-dilatation e ects. The ability of the m...

The aim of this paper is to provide a general procedure to extract the constitutive parameters of a plasticity model starting from displacement measurements and using the Virtual Fields Method. This is a classical inverse problem which has been already investigated in the literature, however several new features are developed here. First of all the procedure applies to a general three-dimension...

The physical mechanism of the anthropogenic triggering of large earthquakes on active faults is studied on the basis of experimental phenomenology, i.e., that earthquakes occur on active tectonic faults, that crustal stress values are those measured in situ and, on active faults, comply to the values of the stress drop measured for real earthquakes, that the static friction coefficients are tho...

The excavation of tunnels in brittle rocks with high in-situ strengths under large deviatoric stresses has been shown to exhibit failure at the periphery parallel maximum stress. This can either occur instantaneously or after several hours due strength degradation that is implicitly and indirectly considered typical constitutive models. While these models are powerful tools for engineering anal...

Soil’s consolidation is a geotechnical problem resulting from stress-transfer process that initiates when the load applied to water contained in soil, producing reduction pore pressure and rearranging solid particles, thus causing decrease soil volume. Therefore, coupled flow–mechanical problem. Coupled models have been developed simulate this phenomenon while considering different theories, pr...

The kinetic theory of gases implies an independent evolution equation for the momentum flux tensor that closely resembles an evolution equation for the elastic stress in continuum descriptions of viscoelastic liquids. However, kinetic theory leads to a non-objective convected derivative for the evolution of the deviatoric stress, and a fixed relation between the stress relaxation rate and the v...

We investigate localization in granular material with the support of numerical simulations based upon DEM (Distinct Element Method). Localization is associated a discontinuity component incremental strain over plane surface through condition determinant acoustic tensor to be zero. are carried out on an aggregate elastic frictional spheres, initially isotropically compressed and then sheared at ...