 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| K.F. Komkov, "On the Influence of Dilatancy on the Characteristics of Shape Change and Volumetric Elasticity of Differently Resisting Media," Mech. Solids. 57 (6), 1279-1290 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1279-1290 |
| DOI |
10.3103/S002565442206005X |
| Title |
On the Influence of Dilatancy on the Characteristics of Shape Change and Volumetric Elasticity of Differently Resisting Media |
| Author(s) |
K.F. Komkov (Military Technical University, Balashikha, Moskovskaya oblast, 143900 Russia, 06kfk38@mail.ru) |
| Abstract |
This article is a continuation of the author’s research on the practical use of mathematical models based on tensor-nonlinear equations, with the help of which it is shown that the quantitative measure of tensor non-linearity in them is performed by the ratio of material functions with tensor arguments, called the parameter of tensor non-linearity. Being an independent value of the angle of the type of stress state, the parameter determines the change in the similarity phase of the deviators, contributing to the formulation of relationships for describing deformations: deformation, volumetric deformation and additional deformation - dilatancy, and also shows that deformations, both deformations and volumetric ones, can be represented as two parts. The first part is associated with the deformation of rigid elements of the structure, and the second part, which includes this parameter, is attributed to the loss of elasticity of interstructural bonds with a proportional increase in stresses. The behavior of media with different resistances significantly depends not only on the level of deformations, but also on their sign, which contribute to or hinder the growth of dilatancy. In the direction of greater positive strain, dilatancy complements it, creates transverse strain coefficients with values less than their initial value, and, being transverse for other directions, can cause coefficients that increase, sometimes exceeding 0.5, significantly affecting other characteristics. The assumption of dilatancy to elastic deformations is an inevitable step necessary to explain the behavior of all coefficients and characteristics of elasticity in three directions. Studies of these deformations in different quadrants made it possible to establish that the loss of bonds and the increase in dilatancy are the main cause of the deformation anisotropy of the theoretical coefficients of transverse deformations, which helps to reveal the effect of dilatancy on the characteristics of bulk elasticity with a proportional increase in stresses. To accurately estimate the resulting anisotropy in the direction of principal stresses, it is proposed to use the variable elasticity parameter, whose values become negative under biaxial compression with a negative value of the loosening parameter and negative dilatancy. |
| Keywords |
dilatancy, shape change, volumetric deformation, tensor-nonlinearity parameter, deviator similarity phase, deformation anisotropy, variable elasticity parameter |
| Received |
17 December 2020 | Revised |
03 November 2021 | Accepted |
23 November 2021 |
| Link to Fulltext |
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