 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| A.N. Bulygin and Yu.V. Pavlov, "The Problem Solution on the Propagation of a Griffith Crack Based on the Equations of a Nonlinear Model," Mech. Solids. 58 (5), 1437-1446 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1437-1446 |
| DOI |
10.3103/S0025654422601483 |
| Title |
The Problem Solution on the Propagation of a Griffith Crack Based on the Equations of a Nonlinear Model |
| Author(s) |
A.N. Bulygin (Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, St. Petersburg, 199178 Russia)
Yu.V. Pavlov (Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, St. Petersburg, 199178 Russia, yuri.pavlov@mail.ru) |
| Abstract |
On the basis of a nonlinear model of deformation of a crystalline medium with a complex lattice, the problem of the stationary propagation of a Griffith crack under the action of homogeneous expanding stresses is posed and solved. It is shown that the stressed and deformed states of the medium are determined both by external influences on the medium and by the gradients of the optical mode (mutual displacement of atoms). The contributions from these factors are separated. Finding the components of the stress tensor and macro-displacement vector is reduced to solving Riemann-Hilbert boundary value problems. Their exact analytical solutions are obtained. |
| Keywords |
nonlinear model, crystal lattice, Griffith crack |
| Received |
06 September 2022 | Revised |
18 October 2022 | Accepted |
19 October 2022 |
| Link to Fulltext |
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