{"id":89,"date":"2020-08-10T22:24:21","date_gmt":"2020-08-10T22:24:21","guid":{"rendered":"https:\/\/www.bratov.com\/?page_id=89"},"modified":"2020-08-20T16:22:16","modified_gmt":"2020-08-20T16:22:16","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.bratov.com\/index.php\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n

2025<\/h4><\/i><\/b>Vladimir Bratov, Sergey Kuznetsov (2025<\/b>) Hyperfoams: Energy dissipation and shock wave formation. <\/i>Zeitschrift f\u00fcr angewandte Mathematik und Physik<\/b>, 76 (3) :1-11
  • DOI:https:\/\/doi.org\/10.1007\/s00033-025-02517-7<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Sergey Kuznetsov (2025<\/b>) Nonlinear Shear Waves in Compressible Media: Occurrence of Strong Shocks. <\/i>Mathematics<\/b>, 13 (12) :1-10
  • DOI:https:\/\/doi.org\/10.3390\/math13121991<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Sergey Kuznetsov (2025<\/b>) On Possible Chirality and Black Holes of Acoustic Waves in Functionally Graded Rods. <\/i>In book: Current Developments in Solid Mechanics and Their Applications<\/b>, :99-119
  • DOI:https:\/\/doi.org\/10.1007\/978-3-031-90022-8_7<\/a><\/li>
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    2024<\/h4><\/i><\/b>Elijah Borodin, Oleg Bushuev, Vladimir Bratov, Andrey P. Jivkov (2024<\/b>) Discrete model for discontinuous dynamic recrystallisation applied to grain\r\nstructure evolution inside adiabatic shear bands. <\/i>Journal of Materials Research and Technology<\/b>, 30 :2125\u20132139
  • DOI:https:\/\/doi.org\/10.1016\/j.jmrt.2024.03.206<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Andrey Murachev and Sergey V. Kuznetsov (2024<\/b>) Utilization of a Genetic Algorithm to Identify Optimal Geometric Shapes for a Seismic Protective Barrier. <\/i>Mathematics<\/b>, 12 (492) :
  • DOI:http:\/\/dx.doi.org\/10.3390\/math12030492<\/a><\/li>
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    2023<\/h4><\/i><\/b>Anastasia Karakozova, Sergey Kuznetsov, Vladimir Mondrus and Vladimir Bratov (2023<\/b>) The devastating 06.02.2023 Turkey \u2013 Syria\r\nearthquake of extreme intensity XI: Aposteriori estimates and damage prevention. <\/i>E3S Web of Conferences<\/b>, 410 (3001) :1-8
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    2022<\/h4><\/i><\/b>M. Bisht, M.A. Iqbal, K. Kamran, V. Bratov, N.F. Morozov (2022<\/b>) Numerical study of thin UHPC targets response against ballistic impact. <\/i>Materials Physics and Mechanics<\/b>, 50 (1) :74-88
  • DOI:http:\/\/dx.doi.org\/10.18149\/MPM.5012022_6<\/a><\/li>
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    <\/i><\/b>V.Bratov, S.Kuznetsov, N.Morozov (2022<\/b>) Seismic barriers filled with solid elastic and granular materials. Comparative analysis. <\/i>Mathematics and Mechanics of Solids<\/b>, 27 (9) :1-10
  • DOI:https:\/\/doi.org\/10.1177\/10812865221104235<\/a><\/li>
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    <\/i><\/b>V. Bratov, J. Kaplunov, S.N. Lapatsin, D.A. Prikazchikov (2022<\/b>) Elastodynamics of a coated half-space under a sliding contact. <\/i>Mathematics and Mechanics of Solids<\/b>, 27 (8) :1480\u20131493
  • DOI:https:\/\/doi.org\/10.1177\/10812865221094425<\/a><\/li>
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    <\/i><\/b>V.A. Bratov, S.V. Kuznetsov, N.F. Morozov (2022<\/b>) Lambs's Problems and Related Problems of Dynamics. <\/i>Journal of Applied\r\nMathematics and Mechanics<\/b>, 86 (4) :451\u2013469
  • DOI:10.31857\/S003282352204004X<\/a><\/li>
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    2021<\/h4><\/i><\/b>V. Bratov (2021<\/b>) NUMERICAL SIMULATIONS OF DYNAMIC FRACTURE. CRACK PROPAGATION AND FRACTURE OF INITIALLY INTACT MEDIA. <\/i>Materials Physics and Mechanics<\/b>, 47 :455-474
  • DOI:http:\/\/dx.doi.org\/10.18149\/MPM.4732021_7<\/a><\/li>
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    <\/i><\/b>M.K. Khan, M.A. Iqbal, V. Bratov, N.F. Morozov, N.K. Gupta (2021<\/b>) BALLISTIC RESISTANCE OF CERAMIC METALLIC TARGET FOR VARYING LAYER THICKNESSES. <\/i>Materials Physics and Mechanics<\/b>, 47 :159-169
  • DOI:http:\/\/dx.doi.org\/10.18149\/MPM.4722021_1<\/a><\/li>
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    <\/i><\/b>S.I. Kuznetsov, N.F. Morozov, V. Bratov and A. Ilyashenko\r\n (2021<\/b>) Seismic barriers filled with granular metamaterials: Mathematical models for granular metamaterials. <\/i>Journal of Physics: Conference Series<\/b>, 1787 (1) :12041
  • DOI:10.1088\/1742-6596\/1787\/1\/012041<\/a><\/li>
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    <\/i><\/b>N.F. Morozov, V.A. Bratov and S.V. Kuznetsov (2021<\/b>) Seismic Barriers for Protection Against Surface and Headwaves: Multiple Scatters and Metamaterials. <\/i>Mechanics of Solids<\/b>, 56 (6) :911-921
  • DOI:http:\/\/dx.doi.org\/10.3103\/S0025654421060133<\/a><\/li>
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    2020<\/h4><\/i><\/b>N.A.Kazarinov, V.A.Bratov, N.F.Morozov, Y.V.Petrov, V.V.Balandin, M.A.Iqbal, N.K.Gupta (2020<\/b>) Experimental and numerical analysis of PMMA impact fracture. <\/i>International Journal of Impact Engineering<\/b>, 143 :103597
  • DOI:10.1016\/j.ijimpeng.2020.103597<\/a><\/li>
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    <\/i><\/b>G.A. Volkov, V.A. Bratov, E.N. Borodin, A.D. Evstifeev and N.V. Mikhailova (2020<\/b>) Numerical simulations of impact Taylor tests. <\/i>Journal of Physics: Conference Series<\/b>, 1556 :012059
  • DOI:10.1088\/1742-6596\/1556\/1\/012059<\/a><\/li>
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    <\/i><\/b>M.K. Khan, M.A. Iqbal, V. Bratov, N.F. Morozov, N.K. Gupta (2020<\/b>) An investigation of the ballistic performance of independent ceramic target. <\/i>Thin-Walled Structures<\/b>, 154 :106784
  • DOI:10.1016\/j.tws.2020.106784<\/a><\/li>
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    <\/i><\/b>V.A. Bratov, A.V. Ilyashenko, S.V. Kuznetsov, T.-K. Lin, N.F. Morozov (2020<\/b>) Homogeneous Horizontal and Vertical Seismic Barriers: Mathematical Foundations and Dimensional Analysis\r\n. <\/i>Materials Physics and Mechanics<\/b>, 44 :61-65
  • DOI:10.18720\/MPM.4412020_7<\/a><\/li>
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    <\/i><\/b>Ilyashenko, A.V., Morozov, N.F., Rashidov, T.R., Bratov, V.A., Mardonov, B.M. (2020<\/b>) The interaction of high intensity seismic Rayleigh and Rayleigh-Lamb waves with structures. <\/i>IOP Conference Series: Materials Science and Engineering<\/b>, 913 (2) :022026
  • DOI:10.1088\/1757-899X\/913\/2\/022026<\/a><\/li>
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    <\/i><\/b>Saad Althobaiti, Vladimir Bratov, Ali Mubaraki, and Danila Prikazchikov (2020<\/b>) MOVING LOAD ON AN ELASTIC HALF-SPACE COATED WITH A THIN VERTICALLY INHOMOGENEOUS LAYER. <\/i>EURODYN 2020 XI International Conference on Structural Dynamics M. Papadrakakis, M. Fragiadakis, C. Papadimitriou (Eds.)<\/b>, 1 :2601-2611
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    2019<\/h4><\/i><\/b>M.K. Khan, M.A. Iqbal, V. Bratov, N.K. Gupta, N.F. Morozov (2019<\/b>) A Numerical Study of Ballistic Behaviour of Ceramic Metallic Bi-Layer Armor Under Impact Load. <\/i>Materials Physics and Mechanics<\/b>, 42 :699-710
  • DOI:10.18720\/MPM.4262019_2<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Alla Ilyashenko, Nikita Morozov and Tursunbai Rashidov (2019<\/b>) Seismic barriers: theory and numerical simulations. <\/i>E3S Web of Conferences<\/b>, 97 :03005
  • DOI:doi.org\/10.1051\/e3sconf\/20199703005<\/a><\/li>
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    <\/i><\/b>V. Bratov, A. Krivtsov (2019<\/b>) Analysis of energy required for initiation of inclined crack under uniaxial compression and mixed loading. <\/i>Engineering Fracture Mechanics<\/b>, 216 :106518
  • DOI:10.1016\/j.engfracmech.2019.106518<\/a><\/li>
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    <\/i><\/b>Andrey Martemyanov, Egor Shel, Vladimir Bratov, Igor Chebyshev, Grigory Paderin, Ildar Bazyrov (2019<\/b>) Conditions of Secondary Fracture Reorientation for Cases of Vertical and Horizontal Wells. <\/i>Society of Petroleum Engineers<\/b>, :
  • DOI:10.2118\/196966-MS<\/a><\/li>
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    <\/i><\/b>Borodin E.N., Morozova A., Bratov V., Belyakov A., Jivkov A.P. (2019<\/b>) Experimental and numerical analyses of microstructure evolution of Cu-Cr-Zr alloys during severe plastic deformation. <\/i>Materials Characterization<\/b>, 156 :109849
  • DOI:10.1016\/j.matchar.2019.109849<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Nikita Kazarinov (2019<\/b>) Dynamic fracture of ceramic plates due to impact loading. Numerical investigation. <\/i>Materials Physics and Mechanics<\/b>, 42 (4) :389-395
  • DOI:10.18720\/MPM.4242019_3<\/a><\/li>
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    2018<\/h4><\/i><\/b>E.N. Borodin, V. Bratov (2018<\/b>) Non-equilibrium approach to prediction of microstructure evolution for metals undergoing severe plastic deformation. <\/i>Materials Characterization<\/b>, 141 :267-278
  • DOI:10.1016\/j.matchar.2018.05.002<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov (2018<\/b>) Numerical models for hydraulic refracturing on vertical oil wells. <\/i>International Journal of Engineering & Technology<\/b>, 7 (436) :1110-1115
  • DOI:10.14419\/ijet.v7i4.26.27937<\/a><\/li>
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    2017<\/h4><\/i><\/b>Anna Morozova, Elijah Borodin, Vladimir Bratov, Sergey Zherebtsov, Andrey Belyakov and Rustam Kaibyshev (2017<\/b>) Grain Refinement Kinetics in a Low Alloyed Cu\u2013Cr\u2013Zr Alloy Subjected to Large Strain Deformation. <\/i>Materials<\/b>, 10 (1394) :1-13
  • DOI:10.3390\/ma10121394<\/a><\/li>
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    <\/i><\/b>J. Venkatesana, , M.A. Iqbala, N.K. Gupta, V. Bratov, N. Kazarinov, F. Morozov (2017<\/b>) Ballistic Characteristics of Bi-layered Armour with Various Aluminium Backing against Ogive Nose Projectile. <\/i>Procedia Structural Integrity<\/b>, 6 :40\u201347
  • DOI:10.1016\/j.prostr.2017.11.007<\/a><\/li>
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    <\/i><\/b>Grigori Volkov, Elijah Borodin, Vladimir Bratov (2017<\/b>) Numerical simulations of Taylor anvil-on-rod impact tests using classical and new approaches. <\/i>Procedia Structural Integrity<\/b>, 6 :330\u2013335
  • DOI:10.1016\/j.prostr.2017.11.050<\/a><\/li>
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    2016<\/h4><\/i><\/b>Yuri Petrov, Nikita Kazarinov, Vladimir Bratov (2016<\/b>) Dynamic crack propagation: quasistatic and impact loading. <\/i>Procedia Structural Integrity<\/b>, 2 :389-394
  • DOI:10.1016\/j.prostr.2016.06.050<\/a><\/li>
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    <\/i><\/b>V. Bratov, E.N. Borodin (2016<\/b>) NON-EQUILIBRIUM FEATURES OF CONTINUOUS RECRYSTALLIZATION PROCESS AT SEVERE PLASTIC DEFORMATION OF COPPER. <\/i>Materials Physics and Mechanics<\/b>, 26 :38-41
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    <\/i><\/b>N.A. Kazarinov, Y.V. Petrov, V.A. Bratov, V.Yu. Slesarenko (2016<\/b>) NUMERICAL INVESTIGATION OF STRESS INTENSITY FACTOR \u2013 CRACK VELOCITY RELATION FOR A DYNAMICALLY PROPAGATING CRACK. <\/i>Materials Physics and Mechanics<\/b>, 29 :39-42
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    <\/i><\/b>V. Bratov, J. Kaplunov, D.A. Prikazchikov (2016<\/b>) On steady-state moving load problems for an elastic half-space. <\/i>IEEE Xplore, Proceedings of the International Conference DAYS on DIFFRACTION 2016<\/b>, :84-88
  • DOI:10.1109\/DD.2016.7756819<\/a><\/li>
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    2015<\/h4><\/i><\/b>N.A. Kazarinov, V.A. Bratov and Y.V. Petrov (2015<\/b>) Simulation of ceramics fracture due to high rate dynamic impact. <\/i>Journal of Physics: Conference Series<\/b>, 653 (12050) :
  • DOI:10.1088\/1742-6596\/653\/1\/012050<\/a><\/li>
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    <\/i><\/b>V.A. Bratov, N.A. Kazarinov and Y.V. Petrov (2015<\/b>) Numerical implementation of the incubation time fracture criterion. <\/i>Journal of Physics: Conference Series<\/b>, 653 (12049) :
  • DOI:10.1088\/1742-6596\/653\/1\/012049<\/a><\/li>
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    <\/i><\/b>V.Bratov, N. Kazarinov, Y.Petrov (2015<\/b>) Numerical simulation of ZrO2(Y2O3) ceramic plate penetration by cylindrical plunger. <\/i>EPJ Web of Conferences<\/b>, 94 (4056) :
  • DOI:10.1051\/epjconf\/20159404056<\/a><\/li>
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    <\/i><\/b>V. Bratov , E.N. Borodin (2015<\/b>) Comparison of dislocation density based approaches for prediction of defect structure evolution in aluminium and copper processed by ECAP. <\/i>Materials Science and Engineering: A<\/b>, 631 :10-17
  • DOI:10.1016\/j.msea.2015.02.019<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Yuri Petrov, Boris Semenov, Irina Darienko (2015<\/b>) Modelling the high-speed train induced dynamic response of railway embankment. <\/i>Materials Physics and Mechanics<\/b>, 22 (1) :69-77
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    2014<\/h4><\/i><\/b>N. Kazarinov, V. Bratov, Y.Petrov (2014<\/b>) Modelling dynamic propagation of a crack at quasistatic loading. <\/i>Doklady Physics<\/b>, 59 (2) :99-102
  • DOI:10.1134\/S1028335814020116<\/a><\/li>
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    <\/i><\/b>Vladimir Bratov, Yuri Petrov (2014<\/b>) Erosion of asphalt as a result of automobile tire studs impacts. <\/i>Materials Physics and Mechanics<\/b>, 21 (3) :222-229
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    <\/i><\/b>N.A. Kazarinov, V.A. Bratov, Yu.V. Petrov, G.D. Fedorovsky (2014<\/b>) EVALUATION OF FRACTURE INCUBATION TIME FROM QUASISTATIC TENSILE STRENGTH EXPERIMENT . <\/i>Materials Physics and Mechanics<\/b>, 19 :16-24
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    <\/i><\/b>\u0411\u0440\u0430\u0442\u043e\u0432 \u0412. \u0410., \u0421\u043c\u0438\u0440\u043d\u043e\u0432 \u0418. \u0412., \u041f\u0435\u0442\u0440\u043e\u0432 \u042e. \u0412., \u041c\u0430\u0438\u0306\u0434\u0430\u043d\u043e\u0432\u0430 \u041d. \u0412., \u0428\u0438\u0440\u043e\u043a\u043e\u0432\u0430 \u0422. \u0421. (2014<\/b>) \u041e \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0438 \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0440\u0430\u0437\u0440\u0443\u0448\u0435\u043d\u0438\u044f \u0430\u0441\u0444\u0430\u043b\u044c\u0442\u043e\u0431\u0435\u0442\u043e\u043d\u043d\u044b\u0445 \u043f\u043e\u043a\u0440\u044b\u0442\u0438\u0438\u0306 \u0438 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0442\u0438\u043f\u043e\u0432\u044b\u0445 \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u0445 \u0434\u043e\u0440\u043e\u0436\u043d\u044b\u0445 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0438\u0306 \u0434\u043b\u044f \u0421\u0430\u043d\u043a\u0442-\u041f\u0435\u0442\u0435\u0440\u0431\u0443\u0440\u0433\u0430. <\/i>\u0414\u043e\u0440\u043e\u0436\u043d\u0430\u044f \u0442\u0435\u0445\u043d\u0438\u043a\u0430 <\/b>, :26-29
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    <\/i><\/b>Yu. Petrov, V. Smirnov, A. Utkin, V. Bratov (2014<\/b>) Energy of a solid sphere under nonstationary oscillations. <\/i>Science China Physics, Mechanics and Astronomy<\/b>, 57 (3) :469-476
  • DOI:10.1007\/s11433-013-5370-4<\/a><\/li>
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    <\/i><\/b>N. Kazarinov, V. Bratov, Y. Petrov (2014<\/b>) SIMULATION OF DYNAMIC CRACK PROPAGATION UNDER QUASISTATIC LOADING. <\/i>Applied Mechanics and Materials<\/b>, 532 :337-341
  • DOI:10.4028\/www.scientific.net\/AMM.532.337<\/a><\/li>
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    2013<\/h4><\/i><\/b>N. Kazarinov, V. Bratov, Y.Petrov (2013<\/b>) SIMULATION OF DYNAMIC CRACK PROPAGATION UNDER QUASISTATIC LOADING. <\/i>ICMAM2013 Proceedings<\/b>, :

    <\/i><\/b>N. Kazarinov, V. Bratov, Y.Petrov (2013<\/b>) SIMULATION OF DYNAMIC CRACK PROPAGATION UNDER QUASISTATIC LOADING. <\/i>YSESM 2013 Proceedings<\/b>, :

    <\/i><\/b>\u0412.\u0410. \u041c\u043e\u0440\u043e\u0437\u043e\u0432, \u042e.\u0412. \u041f\u0435\u0442\u0440\u043e\u0432, \u0412.\u0410. \u0411\u0440\u0430\u0442\u043e\u0432, \u0412.\u041c. \u041a\u0430\u0446, \u0410.\u0410. \u041b\u0443\u043a\u0438\u043d, \u0421.\u0418. \u0424\u0435\u0434\u043e\u0441\u0435\u0435\u043d\u043a\u043e (2013<\/b>) \u0412\u043e\u0437\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0435 \u043a\u0440\u0430\u0442\u043a\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u043c\u043e\u0449\u043d\u044b\u0445 \u043f\u0443\u0447\u043a\u043e\u0432 \u044d\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0430\u0433\u043d\u0438\u0442\u043d\u043e\u0433\u043e \u0438\u0437\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u0438 \u0437\u0430\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u0438\u0446 \u043d\u0430 \u043c\u0435\u0445\u0430\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b\u043e\u0432. <\/i>\u0412 \u0421\u0431.: \u0422\u0440\u0443\u0434\u044b XXV \u043c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u043e\u0439 \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0438 \u201c\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432 \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0435 \u0434\u0435\u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c\u044b\u0445 \u0441\u0440\u0435\u0434 \u0438 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0439. \u041c\u0435\u0442\u043e\u0434\u044b \u0433\u0440\u0430\u043d\u0438\u0447\u043d\u044b\u0445 \u0438 \u043a\u043e\u043d\u0435\u0447\u043d\u044b\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432\u201d, \u0421. \u041f\u0435\u0442\u0435\u0440\u0431\u0443\u0440\u0433, \u0421\u041f\u0431\u0413\u0423 2013<\/b>, :18-19

    <\/i><\/b>Viktor A. Morozov, Yuriy V. Petrov, Anton A. Lukin, Viktor M. Kats, Vladimir A. Bratov, Sergei I. Fedoseenko (2013<\/b>) Initiation and Interaction of a Pulse Beam of Xenon Ions with an Obstacle. <\/i>13th International Conference on Fracture Proceedings<\/b>, :
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    2012<\/h4><\/i><\/b>V. BRATOV,Y.V. PETROV, G. VOLKOV (2012<\/b>) Existence of Optimal Energy Saving Parameters for Different Industrial Processes. <\/i>JOURNAL OF NINGBO UNIVERSITY ( NSEE )<\/b>, 25 (1) :48-52
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    <\/i><\/b>Y.V. PETROV, V. BRATOV (2012<\/b>) Spatio-temporal Model of Multiscale Fracture in Brittle Solids. <\/i>JOURNAL OF NINGBO UNIVERSITY ( NSEE )<\/b>, 25 (1) :35-40
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Smirnov, Yuri V. Petrov, V. Bratov (2012<\/b>) Incubation time approach in rock fracture dynamics. <\/i>Science China Physics, Mechanics and Astronomy<\/b>, 55 (1) :78-85
  • DOI:10.1007\/s11433-011-4579-3<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>Y.V. Petrov, B.L. Karihaloo, V.A. Bratov (2012<\/b>) Multi-scale dynamic fracture model for quasi-brittle materials. <\/i>International Journal of Engineering Science<\/b>, 61 :3-9
  • DOI:10.1016\/j.ijengsci.2012.06.004<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>Yurii V. Petrov, A. A. Gruzdkov, V. A. Bratov (2012<\/b>) Structural-temporal theory of fracture as a multiscale process. <\/i>Physical Mesomechanics<\/b>, 15 (3) :232-237
  • DOI:10.1134\/S1029959912020117<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, Y. Petrov (2012<\/b>) Dynamic Fracture of Asphalt as a Result of Automobile Tire Studs impacts. <\/i>Proc. of 19th European Conference on Fracture (ECF19)<\/b>, :
  • (pdf)<\/a><\/li>

    2011<\/h4><\/i><\/b>\u041f\u0435\u0442\u0440\u043e\u0432 \u042e.\u042e., \u0411\u0440\u0430\u0442\u043e\u0432 \u0412.\u0410. (2011<\/b>) \u041e \u041c\u041e\u0414\u0415\u041b\u0418\u0420\u041e\u0412\u0410\u041d\u0418\u0415 \u0420\u0410\u0417\u0420\u0423\u0428\u0415\u041d\u0418\u042f \u0410\u0421\u0424\u0410\u041b\u042c\u0422\u041e\u0411\u0415\u0422\u041e\u041d\u041d\u041e\u0413\u041e \u041f\u041e\u041a\u0420\u042b\u0422\u0418\u042f \u0428\u0418\u041f\u0410\u041c\u0418 \u041f\u0420\u041e\u0422\u0418\u0412\u041e\u0421\u041a\u041e\u041b\u042c\u0416\u0415\u041d\u0418\u042f. <\/i>\u041c\u043e\u0440\u0441\u043a\u0438\u0435 \u0438\u043d\u0442\u0435\u043b\u043b\u0435\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u044b\u0435 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438<\/b>, 3 :113-119

    <\/i><\/b>Y. Petrov, V. Bratov, G. Volkov, E. Dolmatov (2011<\/b>) Incubation Time Based Fracture Mechanics and Optimization of Energy Input in the Fracture Process of Rocks. <\/i>Advances in Rock Dynamics and Applications, Eds: Yingxin Zhou, Jian Zhao, CRC Press, New York<\/b>, :163-184

    <\/i><\/b>V.Bratov, Y.Petrov, G.Volkov (2011<\/b>) Existence of optimal energy saving parameters for different industrial processes. <\/i>Applied Mechanics and Materials<\/b>, 82 :208-213
  • DOI:10.4028\/www.scientific.net\/AMM.82.208<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>Y.V. Petrov, V. Bratov (2011<\/b>) Multiscale fracture model for quasi-brittle materials. <\/i>Applied Mechanics and Materials<\/b>, 82 :160-165
  • DOI:10.4028\/www.scientific.net\/AMM.82.160<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, Y. Petrov, A. Utkin (2011<\/b>) Transient near tip fields in crack dynamics. <\/i>Science China Physics Mechanics and Astronomy<\/b>, 54 (7) :1309\u20131318
  • DOI:10.1007\/s11433-011-4362-5<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>G.A. Volkov, V.A. Bratov, A.A. Gruzdkov, V. Babitsky, Yu.V. Petrov, V. Silberschmidt (2011<\/b>) Energy-based analysis of ultrasonically assisted turning. <\/i>Shock and Vibration<\/b>, 18 (1) :333-341
  • DOI:10.3233\/SAV-2010-0606<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V.Bratov (2011<\/b>) Incubation time fracture criterion for FEM simulations. <\/i>Acta Mechanica Sinica<\/b>, 27 (4) :541-549
  • DOI:10.1007\/s10409-011-0484-2<\/a><\/li>
  • (pdf)<\/a><\/li>

    2010<\/h4><\/i><\/b>G. A. Volkov, V. V. Silberschmidt, V. I. Babitskii, A. A. Gruzdkov, V. A. Bratov, Yu. V. Petrov (2010<\/b>) Energy aspects of ultrasonic intensification of treatment of metals. <\/i>Doklady Physics<\/b>, 55 (4) :184-185
  • DOI:10.1134\/S1028335810040075<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>G.A. Volkov, V.A. Bratov, A.A. Gruzdkov, V.I. Babitsky, Yu.V. Petrov, V.V. Silberschmidt (2010<\/b>) Energy-based analysis of ultrasonically assisted turning. <\/i>2nd ICoVIS Proceedings<\/b>, :

    <\/i><\/b>V. Bratov (2010<\/b>) Numerical implementation of the incubation time fracture criterion. <\/i>Proceedings of the XXXVIII Summer School \u2013 Conference ADVANCED PROBLEMS IN MECHANICS 2010<\/b>, :
  • (pdf)<\/a><\/li>
    <\/i><\/b>Bratov V.A., Morozov N.F., Petrov Y.V. (2010<\/b>) Numerical Simulations of Dynamic Phase Transformations: Brittle Fracture. <\/i>Proceedings of international conference \"Topical Problems Of Continuum Mechanics\", TPCM 2010<\/b>, :


    2009<\/h4><\/i><\/b>G. A. Volkov, V. V. Silberschmidt, A. V. Mitrofanov, A. A. Gruzdkov, V. A. Bratov, Yu. V. Petrov (2009<\/b>) Minimization of fracture-pulse energy under contact interaction. <\/i>Doklady Physics<\/b>, 54 (7) :322-324
  • DOI:10.1134\/S1028335809070040<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, N. Morozov, Y. Petrov, L. Shikhobalov (2009<\/b>) New Explanation of Dynamic Yielding Phenomenon. <\/i>PACAM XI Proceedings<\/b>, :

    <\/i><\/b>V. Bratov, N. Morozov, Y. Petrov (2009<\/b>) Dynamic Strength of Continuum. <\/i>St.-Petersburg University Press<\/b>, :
  • (pdf)<\/a><\/li>
    <\/i><\/b>\u0412.\u0410. \u0411\u0440\u0430\u0442\u043e\u0432 (2009<\/b>) \u0427\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u0434\u0435\u043b\u0438 \u0434\u0438\u043d\u0430\u043c\u0438\u043a\u0438 \u0440\u0430\u0437\u0440\u0443\u0448\u0435\u043d\u0438\u044f. <\/i>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430 \u0441\u043f\u043b\u043e\u0448\u043d\u044b\u0445 \u0441\u0440\u0435\u0434<\/b>, 2 (3) :5-16
  • (pdf)<\/a><\/li>
    <\/i><\/b>N.F. Morozov, A.V. Ankudinov, V.A. Bratov, V.A. Eremeyev, E.A. Ivanova, Yu.V. Petrov (2009<\/b>) Elasticity of nano-objects. <\/i>Proc. Of the 12th International Conference on Fracture<\/b>, 1 :311-319

    <\/i><\/b>V. Bratov, Y. Petrov (2009<\/b>) Numerical Simulations of Dynamic Fracture. <\/i>Proc. Of the 12th International Conference on Fracture<\/b>, 6 :4488-4496
  • (pdf)<\/a><\/li>
    <\/i><\/b>Y.Petrov, V.Bratov (2009<\/b>) Anomalous Behavior of Strength and Yield Limits under Short Pulse Loading. Possible Explanation of Embrittlement of Nuclear Constructional Materials Irradiated at Elevated Temperatures. <\/i>Proc. Of the 12th International Conference on Fracture<\/b>, 6 :4525-4534
  • (pdf)<\/a><\/li>
    <\/i><\/b>\u0412.\u0410. \u0411\u0440\u0430\u0442\u043e\u0432, \u041d.\u0410. \u041a\u0430\u0437\u0430\u0440\u0438\u043d\u043e\u0432 (2009<\/b>) \u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0438\u043d\u043a\u0443\u0431\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u0434\u043b\u044f \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u0445 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432 \u0434\u0438\u043d\u0430\u043c\u0438\u043a\u0438 \u0440\u0430\u0437\u0440\u0443\u0448\u0435\u043d\u0438\u044f. <\/i>\u0441\u0431\u043e\u0440\u043d\u0438\u043a \u0441\u0442\u0430\u0442\u0435\u0439 \"\u0423\u0441\u043f\u0435\u0445\u0438 \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0438 \u0441\u043f\u043b\u043e\u0448\u043d\u044b\u0445 \u0441\u0440\u0435\u0434\"<\/b>, :


    2008<\/h4><\/i><\/b>Petrov, Y., Bratov, V. (2008<\/b>) Incubation time criteria for fracture and structural transformations. <\/i>17th European Conference on Fracture 2008: Multilevel Approach to Fracture of Materials, Components and Structures<\/b>, 1 :611-618

    <\/i><\/b>Bratov, V., Petrov, Y., Utkin, A. (2008<\/b>) The finite element model to simulate dynamic fracture of initially intact media, dynamic crack initiation, propagation and arrest. <\/i>17th European Conference on Fracture 2008: Multilevel Approach to Fracture of Materials, Components and Structures<\/b>, 1 :587-594

    <\/i><\/b>V. Bratov, Y. Petrov (2008<\/b>) Incubation Time Approach, Behavior of Strength, Phase Transforms and Yield Limits under Short Pulse Loading. Possible Explanation of Anomalous Embrittlement of Nuclear Constructional Materials Irradiated at Elevated Temperatures. <\/i>Proc. of HEM08 International conference proceedings, 2008, Mumbai, India<\/b>, :
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, Y. Petrov (2008<\/b>) Evaluation of energy saving operational modes for industrial fracture connected processes on the basis of incubation time fracture criterion. <\/i>Transactions of Tianjin University<\/b>, 14 (1) :476-482
  • DOI:10.1007\/s12209-008-0081-z<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. A. Bratov, L. M. Isakov, Yu. V. Petrov (2008<\/b>) A criterion for detonation initiation in gas mixtures. <\/i>Doklady Physics<\/b>, 53 (10) :507-509
  • DOI:10.1134\/S1028335808100017<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. A. Bratov, N. F. Morozov, Yu. V. Petrov (2008<\/b>) Simulating the SMART1 orbiter impact on the Moon\u2019s surface. <\/i>Doklady Physics<\/b>, 53 (3) :152-155
  • DOI:10.1134\/S1028335808030099<\/a><\/li>
  • (pdf)<\/a><\/li>

    2007<\/h4><\/i><\/b>V. A. Bratov, Yu. V. Petrov (2007<\/b>) Application of the incubation time criterion to the description of dynamic crack propagation. <\/i>Doklady Physics<\/b>, 52 (10) :565-567
  • DOI:10.1134\/S1028335807100138<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, Y. Petrov (2007<\/b>) Application of incubation time approach to simulate dynamic crack propagation. <\/i>Internaitional Journal of Fracture<\/b>, 146 :53-60
  • DOI:10.1007\/s10704-007-9135-9<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>V. Bratov, Y. Petrov (2007<\/b>) Optimizing energy input for fracture by analysis of the energy required to initiate dynamic mode I crack growth. <\/i>International Journal of Solids and Structures<\/b>, 44 :2371-2380
  • DOI:10.1016\/j.ijsolstr.2006.07.013<\/a><\/li>
  • (pdf)<\/a><\/li>

    2004<\/h4><\/i><\/b>V. A. Bratov, A. A. Gruzdkov, S. I. Krivosheev, Yu. V. Petrov (2004<\/b>) Energy balance in the crack growth initiation under pulsed-load conditions. <\/i>Doklady Physics<\/b>, 49 (5) :338-341
  • DOI:10.1134\/1.1763630<\/a><\/li>
  • (pdf)<\/a><\/li>
    <\/i><\/b>Bratov, V.A., Petrov, Yu.V. (2004<\/b>) Investigation of the cross-section size influence on the distortion of the dynamic impulse applied to a quadratic rod. <\/i>Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya<\/b>, 2 :86-90


    2003<\/h4><\/i><\/b>\u0412.\u0410. \u0411\u0440\u0430\u0442\u043e\u0432, \u042e.\u0412. \u041f\u0435\u0442\u0440\u043e\u0432 (2003<\/b>) \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u043b\u0438\u044f\u043d\u0438\u044f \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0433\u043e \u0440\u0430\u0437\u043c\u0435\u0440\u0430 \u0441\u0442\u0435\u0440\u0436\u043d\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043d\u0430 \u0438\u0441\u043a\u0430\u0436\u0435\u043d\u0438\u0435 \u0444\u043e\u0440\u043c\u044b \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0433\u043e \u043a \u043e\u0434\u043d\u043e\u043c\u0443 \u0438\u0437 \u0435\u0433\u043e \u043a\u043e\u043d\u0446\u043e\u0432 \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0438\u043c\u043f\u0443\u043b\u044c\u0441\u0430 \u0441\u0436\u0430\u0442\u0438\u044f, \u041d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0438 \u0438 \u0444\u0438\u0437\u0438\u043a\u0438 \u0434\u0435\u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c\u043e\u0433\u043e \u0442\u0432\u0435\u0440\u0434\u043e\u0433\u043e \u0442\u0435\u043b\u0430. <\/i>\u0421\u0431\u043e\u0440\u043d\u0438\u043a \u0442\u0440\u0443\u0434\u043e\u0432 \u043d\u0430\u0443\u0447\u043d\u043e\u0439 \u0448\u043a\u043e\u043b\u044b \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u043a\u0430 \u0412.\u0412. \u041d\u043e\u0432\u043e\u0436\u0438\u043b\u043e\u0432\u0430. \u041f\u043e\u0434 \u0440\u0435\u0434. \u041a.\u0424. \u0427\u0435\u0440\u043d\u044b\u0445\u0430<\/b>, 7 :250-255

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