 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 55, Issue 3 / 2020 | Next article >> |
| E.V. Lomakin and N.G. Minaev, "Stress Fields near a Circular Hole in a Porous Medium Under Plane Deformation," Mech. Solids. 55 (3), 332-339 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
3 |
Pages |
332-339 |
| DOI |
10.3103/S0025654420030073 |
| Title |
Stress Fields near a Circular Hole in a Porous Medium Under Plane Deformation |
| Author(s) |
E.V. Lomakin (Lomonosov Moscow State University, Moscow, 119991 Russia; Moscow Aviation Institute (National Research University), Moscow, 125080 Russia, evlomakin@yandex.ru)
N.G. Minaev (Lomonosov Moscow State University, Moscow, 119991 Russia, nickita3@yandex.ru) |
| Abstract |
An analysis of the properties of the constitutive equations of the theory of plasticity for porous media using Green’s yield criterion is carried out. It is shown that this criterion is one of the possible yield criteria for materials with plastic properties depending on the type of stress state, with the only difference being that the coefficients depend on the porosity parameter. Therefore, the yield criterion can be represented in an appropriate generalized form using a parameter of the form of the stress state, which is the ratio of the hydrostatic stress component to the effective von Mises stress, called in the literature the stress triaxiality. A semi-analytical solution to the problem of a space with a cylindrical hole under plane strain conditions is obtained. The stress distributions corresponding to the obtained solution is compared with the stress distributions in a similar problem for a solid, which plastic properties are invariant to the type of the stress state. The effect of porosity on the stress distribution and the size of the plastic region is investigated. |
| Keywords |
plasticity, plane deformation, Green’s yield criterion, space with a cylindrical hole, stress distribution |
| Received |
20 January 2020 | Revised |
24 January 2020 | Accepted |
30 January 2020 |
| Link to Fulltext |
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