 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| M.N. Antonova and Yu.V. Petrov, "Energy Approach to Fracture Prediction under Developed Irreversible Deformation," Mech. Solids. 60 (6), 5145-5156 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
5145-5156 |
| DOI |
10.1134/S0025654425604367 |
| Title |
Energy Approach to Fracture Prediction under Developed Irreversible Deformation |
| Author(s) |
M.N. Antonova (Institute for Problems in Mechanical Engineering of the Russian Academy of Science, Saint-Petersburg, 199178 Russia; Saint Petersburg State University, Saint-Petersburg, 199034 Russia, maliya.antonova@gmail.com)
Yu.V. Petrov (Institute for Problems in Mechanical Engineering of the Russian Academy of Science, Saint-Petersburg, 199178 Russia, y.v.petrov@spbu.ru) |
| Abstract |
This paper presents an energy-based approach for predicting elastoplastic fracture, formulated through the concept of a critical strain energy threshold. The method combines a newly introduced energy fracture criterion with a modified relaxation model of plasticity belonging to the structural-temporal class of theories. This combination enables the accurate description of materials exhibiting complex deformation behavior, including non-monotonic stress–strain curves and the yield point phenomenon, which are particularly relevant for metallic materials deformed at relatively low strain rates.
A key advantage of the approach lies in its compactness and physical interpretability: the model parameters are directly related to the material’s initial defect structure and remain independent of the loading history. This allows for predictive capability across different grain sizes and material states without introducing damage accumulation functions or additional fitting parameters.
The model is validated against experimental data for magnesium alloys Mg–0.3Ca (wt %) and Mg–1.0Al–1.0Ca–0.4Mn (wt %) with varying grain sizes. The predicted deformation curves (up to fracture) show good agreement with the experiments, even under conditions of developed plastic deformation. In one case, a single critical energy value proved sufficient, while in the other, a Hall–Petchtype grain size dependence was incorporated. The proposed framework shows strong potential for extension to more complex loading paths and other classes of metallic alloys. |
| Keywords |
Energy fracture criterion, irreversible deformation, incubation time, relaxation model of plasticity, yield point phenomenon, grain size |
| Received |
12 August 2025 | Revised |
21 August 2025 | Accepted |
21 August 2025 |
| Link to Fulltext |
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