Uniform displacement of a granular material. Dilatancy

Bobryakov, A. P.; Ревуженко, А. Ф.

doi:10.1007/bf02528441

Soviet Mining Science

1982

DOI: 10.1007/bf02528441

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Uniform displacement of a granular material. Dilatancy

A. P. Bobryakov¹,

А. Ф. Ревуженко²

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1983

2011

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Cited by 22 publications

(8 citation statements)

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“…Accordingly, we needed to put our experimental granular material in uniform state. It was found in [5] that structural uniformity and mechanical properties of a material is achievable through pre-deformation of the material by alternating small-amplitude shears in order to remove contact friction of particles and destruct defects (pores) with no shear localization. The material sample prepared to testing in that way is a dense, defect-free pack, and it will exhibit the following properties under the first large-amplitude displacement of the movable plate: maximum rate of dilatancy under the plus-sign shear (expansion in volume); increased strength; diagram of the shearing forces on the movable plate will have a sharp peak of strength and a descending branch.…”

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confidence: 99%

“…The laboratory simulation experiments on a straight cut of granular materials [3,4] showed that relative movement of the granular medium under uniform loading is unequable and stick-slip; values of displacement discontinuities are governed by the porosity of a material, that changes while the material is being deformed [5,6]. The shearing tests on marble slabs showed a series of nearly identical displacement discontinuities because of permanent sliding friction at contact surface.…”

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confidence: 99%

“…The shearing force (stresses) T on the movable plate were measured using sensor 9 attached to the outward side of plate 1, equipped with strain-sensing elements. For more detail of the measurement procedure, refer to [5,9,10]. Electric signals on the displacements ΔH y , ΔH z , signal on the stresses τ and σ were amplified and fed to a digital plotter input.…”

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confidence: 99%

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Modeling simulation of deformation in a blocky geomedium during origination of earthquake

Bobryakov

2011

J Min Sci

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The paper focuses on two models of an earthquake-the dilatancy model and the consolidation and stick-slip model. Experimental basis for the research was measurements of stress-strain state in a granular medium with a movable plate that simulated edges and surfaces of a tectonic fault. The dilatancy model showed the lift of the granular material and the respective accumulation of potential energy. The second model showed that a share of the accumulated energy is elastic energy produced in a blocky medium due to sliding resistance on the surface of faults. The curves of shear stresses and displacements, obtained in soft loading of the plate, showed the stick-slip mechanism with displacement discontinuities and partial drops of stresses. The maximum displacement discontinuity and the highest dynamics on the curves correspond to the maximum value of the accumulated elastic energy which is then released on the descending branch of the curve.

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Modeling simulation of deformation in a blocky geomedium during origination of earthquake

Bobryakov

2011

J Min Sci

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“…The initial position of the chamber was a ---12~ [2]. The bottom of the chamber was filled vlth a shallow layer of granular materlal.…”

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“…The stacking was then converted to the initial (reversible [2]) state as a result of 14 alternatlng-siEn displac~m~outs from a ---12 to a ---5". The stacking was developed in the following manner.…”

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Uniform shear of granular material. Localization of deformation

Bobryakov

Ревуженко

Shemyakin

1983

Soviet Mining Science

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Uniform deformation of a granular medium theory and experiment

Kolymbas¹,

Лавриков²,

Ревуженко³

1994

J Appl Mech Tech Phys

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The solution of most continuum mechanics problems requires the selection or the creation of a mathematical model of the medium. If we are talking about an elastic body or a linearly viscous fluid, the model construction problem does not exist, since the classical models have been created and the corresponding Lam6 and Navier-Stokes equations have been formulated. For the more complex media, for example the elastoplastic and granular media and the nonlinear fluids, there are no generally accepted equations. Therefore the model selection question must be resolved separately for the problems of each class. Here much depends on the specific conditions of loading and the objectives which are posed in formulating and solving the specific problems [1].Practically all the continuum working models are of a phenomenological nature. This means that they are constructed on the basis of some fundamental experiments. These experiments must determine both the constructive equations themselves and the values of the parameters appearing in these equations.The question of selection of the basis experiments is far from simple. In principle, any experiments, for example the penetration of dies, can be used to construct the mathematical models. However, for the interpretation of this experiment it is necessary to select in advance the mathematical model, solve the boundary-value problem, compare the results with the experimental data, correct the model, and so on. This is a very complex procedure. However, there is a special class of loadings for which preliminary data on the mathematical model are not required for the interpretation of the experiment. This is the class of quasi-static loadings, in which the distributions of the stresses and the strains in space are uniform. Here the deformation process reduces to the realization of a sequence of affine transformations. Therefore, in the stable processes the kinematics of the deformation will be the same for both the elastoplastic media and for the viscous or any other media. Thus, the experiments that realize the uniform states are ideal as the basis experiments for the construction and analysis of the mathematical models of continuous media.It is not technically possible to achieve precisely uniform loading. Therefore the most that we can do is to realize deformation processes that are as close to uniform as is possible. Such processes and the corresponding techniques are well known for the metals [2, 3]. These include the twisting and stretching of thin-wall tubular specimens. However, this classical technique is not applicable for the granular media, liquids with complex rheology, and other such materials. Here it is necessary to seek new fundamental experiments.A general classification of the uniform deformation processes is given in [4, 5]. In this classification the well-known processes appear as particular cases: uniform tension, torsion, and so on. But, in spite of the near triviality of the problem formulation, new classes of loadings have been found. Several devices and in...

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Uniform displacement of a granular material. Dilatancy

Cited by 22 publications

References 4 publications

Modeling simulation of deformation in a blocky geomedium during origination of earthquake

Modeling simulation of deformation in a blocky geomedium during origination of earthquake

Uniform shear of granular material. Localization of deformation

Uniform deformation of a granular medium theory and experiment

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