Determination of Effective Mechanical Characteristics of a Noonlinear Composite Material with Spherical Inclusions

Main Article Content

Nail Rashatovich Battalov
Lenar Usmanovich Sultanov
Lenar Rustamovich Fakhrutdinov

Abstract

Large language models (LLMs) are increasingly being used for code generation. However, both the generated code and the underlying LLM-based systems demand rigorous security evaluation. A common approach to enhancing code generation quality involves multi-agent systems composed of multiple models. This paper evaluates the performance of GPT-OSS 20B, GPT-OSS 120B, and Qwen3-Coder 480B models in single-agent and multi-agent configurations, using two code security benchmarks, SecurityEval and CyberSecEval. The key contribution is SafeAICoder, an extensible and scalable framework for testing LLMs enabling distributed server-side generation of multi-module programs and tests, independent of client-side code.

Article Details

How to Cite
Battalov, N. R., I. R. Garifullin, L. U. Sultanov, and L. R. Fakhrutdinov. “Determination of Effective Mechanical Characteristics of a Noonlinear Composite Material With Spherical Inclusions”. Russian Digital Libraries Journal, vol. 29, no. 4, July 2026, pp. 1304-17, doi:10.26907/1562-5419-2026-29-4-1304-1317.

References

Hill R. Elastic properties of reinforced solids: Some theoretical principles // J. Mech. Phys. Solids. 1963. Vol. 11, No. 5. P. 357–372.
2. Battalov N.R. Deformirovanie elementov konstruktsii iz armirovannykh mate-rialov: magisterskaya dissertatsiya. Kazan: KFU, 2025. 26 p.
3. Danilaev M.P., Karandashov S.A., Kuklin V.A., Sidorov I.N., Enskaya A.I. Vychislenie effektivnykh mekhanicheskikh kharakteristik dispersno-armirovannogo po-limernogo kompozitsionnogo materiala c nizkomodul'nymi vklyucheniyami // Fizi-cheskaya mezomekhanika. 2024. Tom 27, No. 3. P. 116–130.
4. Mikhal'chenkov A.M., Lushkina S.A., Mikhal'chenkova M.A., Lavrov V.I. Faktory, opredelyayushchie funktsional'nost' dispersno-uprochnenykh kompozitov na osnove epoksidnykh smol (mashinostroenie) // Vestnik FGOU VPO Bryanskaya GSKhA. 2015. No. 2-1. P. 25–28.
5. Mostovoy A.S. Retsepturnaya modifikatsiya epoksidnykh smol s primeneniem novykh vysokoeffektivnykh plastifikatorov // Modern high technologies. No. 7. 2015. P. 66–70.
6. Mostovoy A.S. Razrabotka sostavov, tekhnologii i opredelenie svoystv mikro- i nanonapolnennykh epoksidnykh kompozitov funktsional'nogo naznacheniya. Saratov, 2014. 149 p.
7. Mostovoy A.S. Plakunova E.V. Razrabotka ognestoykikh epoksidnykh kompozitsiy i issledovanie ikh struktury i svoystv // Perspektivnye materialy. 2014. Np. 1. S. 37–43.
8. Rabinskiy L.N., Shavelkin L.N. Metody modelirovaniya modifitsirovannykh kompozitov s viskerizovannymi voloknami // Innovatsionnoe razvitie transportnogo i stroitel'nogo kompleksov : Materialy Mezhdunarodnoy nauchno-prakticheskoy kon-ferentsii, posvyashchennoy 70-letiyu BelIIZhTa – BelGUta, Gomel', Respublika Belarus', 16–17 noyabrya 2023 goda. Gomel': Uchrezhdenie obrazovaniya "Belorusskiy gosu-darstvennyy universitet transporta", 2023, P. 142–143.
9. Hashin Z., Shtrikman S.A. Variational approach to the theory of the elastic behavior of multiphase materials // J. Appl. Mech. 1963. Vol. 11. P. 127–140.
10. Lur'e S.A., Solyaev Yu.O. Modifitsirovannyy metod Eshelbi v zadache opre-deleniya effektivnykh svoystv so sfericheskimi mikro i nanovklyucheniyami // Vestnik PNIPU. Mekhanika. 2010. No. 1. P. 80–90.
11. Lur'e S.A., Volkov-Bogorodskiy D.B. Reshenie zadachi Eshelbi v gradientnoy teorii uprugosti dlya mnogosloynykh sfericheskikh vklyucheniy // Izvestiya Rossiyskoy akademii nauk. Mekhanika tverdogo tela. 2016. No. 2. P. 32–50.
12. Volkov-Bogorodskiy D.B., Lur'e S.A. Integral'nye formuly Eshelbi v gradient-noy teorii uprugosti // Izvestiya Rossiyskoy akademii nauk. Mekhanika tverdogo tela. 2010. No. 4. P. 182–192.
13. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclu-sion,and related problems // Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. A. 1957. Vol. 241(1226). P. 376–396.
14. Eshelby J.D. The continuum theory of lattice defects. In: Progress in Solid State Physics, Vol. 3 (F. Seitz and D. Turnbull, Eds.). New York: Academic, 1956. P. 79.
15. Dimitrienko Yu.I. Modelirovanie nelineyno-uprugikh kharakteristik kompozitov s konechnymi deofrmatsiyami metodom asimptoticheskogo osredneniya // Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie. 2015. № 11 (668). P. 68–77.
16. Dimitrienko Yu.I., Gubareva E.A., Sborshchikov S.V., Bazyleva O.A., Lutsen-ko A.N., Oreshko E.I. Modelirovanie uprugoplasticheskikh kharakteristik monokristalli-cheskikh intermetallidnykh splavov na osnove mikrostrukturnogo chislennogo analiza // Matematicheskoe modelirovanie i chislennye metody. 2015. No. 2 (6). P. 3–22.
17. Pestrenin V.M., Pestrenina I.V., Landik L.V., Fagalov A.R., Pelevin A.G. Pred-stavitel'nyi ob"em i effektivnye material'nye kharakteristiki periodicheskikh i statistich-eski odnorodno armirovannykh volokonnykh kompozitov // Vestnik Permskogo natsional'nogo issledovatel'skogo politekhnicheskogo universiteta. Mekhanika. 2023. No. 1. P. 103–110.
18. Kanit T., Forest S., Galliet I., Mounoury V., Jeulin D. Determination of the size of the representative volume element for random composites: statistical and nu-merical approach // International Journal of Solids and Structures. 2003. Vol. 40 (13-14). P. 3647–3679. https://doi.org/10.1016/S0020-7683(03)00143-4
19. Golovanov A.I., Sultanov L.U. Teoreticheskie osnovy vychislitel'noy nelineynoy mekhaniki deformiruemykh sred: Kurs lektsiy. Kazan': Izd-vo Kazansk. gos. un-ta, 2008. 165 p.


Most read articles by the same author(s)