Sandstone Modeling under Axial Compression and Axisymmetric Lateral Pressure

Kolesnikov, Gennady; Gavrilov, Timmo

doi:10.3390/sym14040796

Cited by 2 publications

(2 citation statements)

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“…The expediency of continuing research is indicated by a certain analogy of stress-strain curves (Figures 1-3) for concrete [25,26], rock materials [21,22], geopolymers [27][28][29][30], frozen soils, and other brittle materials [31][32][33][34]. The focus of future research on the topic may be on the right branch of the full stress-strain (or load-displacement) curve.…”

Section: Discussionmentioning

confidence: 99%

Analytical Model with Independent Control of Load–Displacement Curve Branches for Brittle Material Strength Prediction Using Pre-Peak Test Loads

2022

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The relevance of problems related to the fracturing of engineering materials and structures will not decrease over time. Fracture mechanics methods continue to be developed, which, combined with numerical methods of computer modeling, are implemented in software packages. However, this is only one facet of the complex of actual problems related to modeling and analyzing the behavior of brittle materials. No less important are the problems of developing not only numerical, but also new analytical models. In this paper, analytical models of only one class are considered, the distinguishing feature of which is that they describe the full load–strain curve using only one equation. However, the determination of model parameters requires tests for which the destruction of the test object is necessary, which may be unacceptable if controlled destruction is technically impossible or economically unreasonable. At the same time, in practice, it is possible to obtain values of stresses and strains caused by loads smaller than the peak load. Pre-peak loads can be used to predict strength using numerical methods, but it is desirable to have a suitable analytical model to extend the capabilities and to reduce the cost of applied research. Such a model was not found in the known literature, which motivated this work, which aims to modify the analytical model to predict strength and the full load–displacement (or stress–strain) curve using only pre-peak loading. This study is based on the analysis of known data and synthesis using mathematical modeling and fracture mechanics. The input data for the model do not include the particle size distribution and other physical and mechanical properties of the components of the material under study. These properties may remain unknown, but their influence is taken into account indirectly according to the “black box” methodology. Restrictions of the scope of the model are defined. The simulation results are consistent with experiments known from the literature.

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Section: Discussionmentioning

confidence: 99%

Analytical Model with Independent Control of Load–Displacement Curve Branches for Brittle Material Strength Prediction Using Pre-Peak Test Loads

2022

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“…It is known that the process of destruction of solids is ordered and that "the hierarchy of the scale of destruction begins with the size of the crystal lattice and continues up to the size of tectonic plates in geospheres" [18]. Taking these circumstances into account, an array (or sample) of brittle material can be considered as a structure with a mechanical state and properties that depend on the impacts exerted upon it [19][20][21]. Such a structure (construction) can be considered as a macro-object consisting of mesoscale elements with mechanical states and interactions with each that other determine the strength and stiffness of the degrading brittle material.…”

Section: Methodology 21 Degrading Materials As a Macro-object Consist...mentioning

confidence: 99%

Analytical Model for the Load-Bearing Capacity Analysis of Winter Forest Roads: Experiment and Estimation

Katarov

Syunev

Kolesnikov

2022

Forests

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In northern forests, winter is the preferred time for logging operations, since, when wet soils freeze, their strength increases, which ensures a high load-bearing capacity of winter forest roads and reduces the cost of forestry work by increasing the load on forestry equipment, including when driving through frozen lowlands. The present article analyzes frozen loamy–sandy soil, which, at subzero temperatures, behaves like a brittle material with a sufficiently high, but limited, strength. Well-known models commonly use empirical parameters, correlations, and numerical methods to estimate the strength of such materials. An analytical model of the full load–displacement curve would reduce the number of necessary calculations and increase the ability to predict the bearing capacity of winter forest roads. However, there are few of these models. Such models were developed, as a rule, to study stress–strain in concrete and rocks, meaning that researchers have to recalculate the load into stress and displacement into deformation, which is not always simple. This work aimed at theoretically justifying a new analytical model for quantifying the bearing capacity of winter forest roads and assessing the adequacy of the model by comparing it with experimental data. To achieve this purpose, the concepts of fracture mechanics and methods of mathematical modeling were used. The model was verified using experimental data, and model examples for determining the peak load were provided. Prospects for development of the research topic were also considered, taking into account new developments in forest road monitoring for logging management.

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Sandstone Modeling under Axial Compression and Axisymmetric Lateral Pressure

Cited by 2 publications

References 36 publications

Analytical Model with Independent Control of Load–Displacement Curve Branches for Brittle Material Strength Prediction Using Pre-Peak Test Loads

Analytical Model with Independent Control of Load–Displacement Curve Branches for Brittle Material Strength Prediction Using Pre-Peak Test Loads

Analytical Model for the Load-Bearing Capacity Analysis of Winter Forest Roads: Experiment and Estimation

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