 | | 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: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
|
| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 8 / 2024 | Next article >> |
| Y.N. Radayev, "On Stress Distribution Near a Mode I Crack Tip under Plane Stress Conditions," Mech. Solids. 59 (8), 3889-3912 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
8 |
Pages |
3889-3912 |
| DOI |
10.1134/S0025654424700389 |
| Title |
On Stress Distribution Near a Mode I Crack Tip under Plane Stress Conditions |
| Author(s) |
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru, y.radayev@gmail.com) |
| Abstract |
The paper considers a mathematical model of stress distribution in the yeilding zone near
the tip of a normal tensile crack (mode I crack) in a perfectly plastic solid under plane stress conditions. The von Mises yield criterion is adopted. Based on the formal statics formularion of the problem
(indepentently of kinematical equations), exact formulas are obtained for calculating stresses within
the plastic zone localized near the tip of the crack. A comparison of the exact results obtained in the
article with the results of a numerical analysis of stress distribution given by Hutchinson in 1968 is presented. |
| Keywords |
crack, mode I crack, crack tip, plane stress, self-similar solution, von Mises yield criterion, perfect plasticity, diffusive plastic flow |
| Received |
30 September 2024 | Revised |
06 October 2024 | Accepted |
07 October 2024 |
| Link to Fulltext |
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