Analysis and Modeling of Process of Residual Deformations Accumulation in Soils and Granular Materials

Aleksandrov, Anatoliy; Dolgih, G. V.; Калинин, А. Л.

doi:10.1088/1757-899x/262/1/012004

Cited by 8 publications

(7 citation statements)

References 5 publications

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“…We obtained similar parameters for a large range of materials; they are given in [7,8,27,29]. Using these parameters and models (Table 2), it is possible to calculate the deformations accumulated by any granular material used in road construction.…”

Section: Resultsmentioning

confidence: 99%

“…Empirical models of strain accumulation are a complex function of many factors. One of the factors is the number of loads, which is taken into account by introducing a separate multiplier as a function of the number of loads N. The functions of the number of loads can be logarithmic, powerlaw, exponential, and combined, including two or more functions [7,8,[15][16][17][18][19]. In general, the functional dependence accumulated by residual deformation εN on the number of loads N can be represented by the formula:…”

Section: Methodsmentioning

confidence: 99%

“…(1) where εn -residual deformation of the granulated material accumulated after n load applications, n << N and usually varies in the range n=1…10 3 ; a, b, c, d -model parameters depending on the value of the main stresses, the time of impact of the load, the length of the rest period between load applications, the values of the characteristics of the physical properties of the material. In publications [7,8], we proposed to apply the equations of hereditary theories to predict residual deformations of granular materials. The essence of this proposal is to integrate the deformation increment function ∆εn according to the number of loads dn, which varies from 1 to N. The increment of residual strain ∆εN consists of two components: instantaneous ∆εinsn and viscous ∆εviscn.…”

Section: Methodsmentioning

confidence: 99%

“…Analyzing the work, which is pursuing the goal of developing methods for calculating the depth of irregularities, we highlight two approaches. According to the first approach, the depth of irregularity is determined by the difference of irreversible displacements of the surface of the coating at the considered section point and at the section point with the least accumulated residual deformation [7,8]. That is, the depth of the irregularity is determined relative to the point with the least accumulated deformation.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of Residual Deformations of Granulated Materials from Exposure to Repeated Loads

Aleksandrov

Семенова

Aleksandrova

2020

MSF

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The analysis of the models for calculating residual deformations accumulated by granular materials under the influence of repeated loads is performed. Determined the hereditary nature of the accumulation of deformation of granular materials. This allowed the use of integral calculus for the analytical solution of the problem of the dependence of residual deformation on the number of repeated loads, the value of the main stresses. The solution is obtained in the form of logarithmic and power-law functions that associate the accumulated deformation with the deformation arising from the first load application with the number of applied loads. The deformation from the first load application is represented by the sum of the two components, instantaneous irreversible and viscoplastic. The viscoplastic component of the deformation is a consequence of stress relaxation in a relatively short period of time equal to the duration of the impact of the load. The analysis of experimental data on the triaxial compression of various granular materials is carried out and the parameters obtained for the power and logarithmic functions are determined. The materials studied include: granite, gneissic, granodiorite and diorite crushed stone, sand and gravel and crushed stone and gravel mixtures with a mineral part from various rocks, fortified sands. The possibility of application of the obtained solutions for the calculation displacement of the surface of the pavement layers of granular materials is shown. The tasks of further research are formulated.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Calculation of Residual Deformations of Granulated Materials from Exposure to Repeated Loads

Aleksandrov

Семенова

Aleksandrova

2020

MSF

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“…Stress calculation is an indispensable part of the road construction calculations. Principal stresses are needed for the deformation calculation based on different models [1][2][3][4][5]. In these models principal stresses are used either for model parameter calculation or for the deformation from the first load application (or accumulated deformations, produced by a small number of loads n, which is much less than the total number of the applied loads N).…”

Section: Introductionmentioning

confidence: 99%

Stress Investigation in Pavement Layers and a New Nalculation Model

Aleksandrov

Смирнов

Семенова

2019

MSF

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The paper is devoted to the comparison results of experimental data and theoretical stress calculations (arising in pavement layers made from granular materials). The formulas of continuum mechanics and mechanics for granular materials and mathematical dependences, got in accordance with engineering calculation method, were taken as a calculation model. The experimental stress values, measured by Steven B.D. using ring stand (University of Canterbury), were applied as a standard. The ring stand ley us employ moving loads to the stand segments with pavement constructed over the ring stand. It was discovered that the best match of values of experimental and calculation data is got by stress computing based on formulas of mechanics for granular materials (M.E. Harr or I.I. Kandaurov) or continuum mechanics, but with O.C. Frohlich parameter added to С.R. Foster, R.G. Ahlvin and H.H. Ulery’s formula. This Frohlich parameter can be taken as a material parameter. In the conclusion the authors show the way of modification of the well-known approaches in mechanics for granular materials. This new way makes possible to calculate minimum principal stress σ3.The modified mathematical relationships of principal stress calculation can be used in models for elastic, plastic, elastic-plastic deformation calculations and in conditions of plasticity.

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The Limiting Rut Depth by Conditions Safety of Traffic

Aleksandrov

Semenova

2022

Lecture Notes in Networks and Systems

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Analysis and Modeling of Process of Residual Deformations Accumulation in Soils and Granular Materials

Cited by 8 publications

References 5 publications

Calculation of Residual Deformations of Granulated Materials from Exposure to Repeated Loads

Calculation of Residual Deformations of Granulated Materials from Exposure to Repeated Loads

Stress Investigation in Pavement Layers and a New Nalculation Model

The Limiting Rut Depth by Conditions Safety of Traffic

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