Research Center of Dynamics

Yuri V. Petrov's Publications

Monographs and preprints:

Y.V. Petrov, "Quantum" Macromechanics of Dynamic Fracture in Solids. St.-Petersburg, Inst. for Probl. of Mech. Engng. (IPME RAS), 1996 (in Russian).

S.I. Krivosheev, Y.V. Petrov, Experimental Unit and the Method of Investigation of Threshold Fracture Loads for Macrocracked Samples under Impact Loading Produced by Pulse Magnetic Field. St.-Petersburg, Inst. for Probl. of Mech. Engng. (IPME RAS), 1997 (in Russian).

N.F. Morozov, Y.V. Petrov, Problems of Dynamic Fracture in Solids. St.-Petersburg, SPb State Univ. Press, 1997 (in Russian).

A.V. Kashtanov, Y.V. Petrov. Fractal Generalization of the Energy Balance Equation in Linear Fracture Mechanics. St.-Petersburg, Inst. for Probl. of Mech. Engng. (IPME RAS), 2001 (in Russian).

N. Morozov, Y. Petrov. Dynamics of Fracture. Springer-Verlag. Berlin-Heidelberg-New York, 2000 (in English).

V. Bratov, N. Morozov, Y. Petrov. Dynamic Strength of Continuum. 2009, St.-Petersburg University Press.

Selected papers:

Y.V.Petrov. Problem of Shape Optimization for the Notched Domain in Conditions of Torsion. Vestnik LGU. Ser.1, No.4, 1987 (in Russian).

Y.V.Petrov. On the Contact Interraction of a Resilient Disk with the Rigit Angle. Vestnik LGU. Ser.1, No.8, pp.62-65, 1989 (in Russian).

Y.V.Petrov, A.A.Utkin. On the Dependence of Dynamic Strength on Loading Rate. Sov. Mater. Science, Vol.25, No.2, pp.153-156, 1989.

Y.V.Petrov. On "Quantum" Nature of Dynamic Fracture of Brittle Solids. Dokl. Akad. Nauk USSR, Vol.321, No.1, pp.66-68, 1991 (in Russian).

Y.V.Petrov, N.F.Morozov. On the Modeling of Fracture of Brittle Solids. ASME Journal of Applied Mechanics, Vol.61, pp.710-712, 1994.

Y.V.Petrov. Quantum Analogy in the Mechanics of Fracture of Solids. Physics of Solid State, Vol.38, No.11, pp.1846-1850, 1996.

N.F.Morozov, Y.V.Petrov. Some Dynamic Problems of Structural Fracture Mechanics. In: Advances in Fracture Research. Vol.6. High Strain Rate Fracture and Impact Mechanics (B.L.Karihaloo et. al. eds.). New-York, Pergamon Press, pp.2845-2852, 1997.

A.A. Zalounina, Y.V. Petrov. On the Stress Field Optimization in the Elastic Domain with a Deep Notch under Conditions of Torsion// (G.P.Steven et al eds.) Structural Optimization. Proc. of the ACSO'98.- Oxbridge Press. Sydney, Australia. pp.507-514, 1998.

A.A. Gruzdkov, Yu.V. Petrov. On Temperature-Time Correspondence in High-Rate Deformation of Metals// Doklady Physics, Vol. 44, No. 2, 1999, pp.114-116.

N. F. Morozov, Yu. V. Petrov, and V. V. Taraban. Nonmonotone Time Dependence of Dynamic Fracture Toughness of Solids// Doklady Physics, Vol. 45, No. 3, 2000, pp.122-124.

N. F. Morozov, Yu. V. Petrov, and V. I. Smirnov. Transition between Brittle and Ductile Erosional Fracture// Doklady Physics, Vol. 47, No. 7, 2002, pp.525-527.

S.I. Krivosheev and Yu. V. Petrov. Testing of dynamic property of materials under microsecond duration pressure created by the pulse current generator// Proc. of IX inter. Conf. On Megagauss Magnetic Field Generation and Related Topics. Moscow-St.-Petersburg, July 7-14, 2002. /Ed by V.D. Selemir and L.N. Plyashkevich/. Sarov, VNIIEF. 2004. P.112-115.

Y.V. Petrov, N.F. Morozov and V.I. Smirnov. Structural Macromechanics Approach in Dynamics of Fracture// Fatigue Fract. Engng. Mater. Struct. 2003, V.26. P.363-372.

V. A. Bratov, A. A. Gruzdkov, S. I. Krivosheev, and Yu. V. Petrov. Energy Balance in the Crack Growth Initiation under Pulsed-Load Conditions// Doklady Physics, Vol. 49, No. 5, 2004, pp.338-341.

Yu. V. Petrov and E. V. Sitnikova. Dynamic Cracking Resistance of Structural Materials Predicted from Impact Fracture of an Aircraft Alloy// Technical Physics, Vol. 49, No. 1, 2004, pp.57-60.

Yu. V. Petrov. Incubation Time Criterion and the Pulsed Strength of Continua: Fracture, Cavitation, and Electrical Breakdown// Doklady Physics, Vol. 49, No. 4, 2004, pp.246-249.

Yu. V. Petrov and P. A. Glebovski. Criterion of the Incubation Time in the Problems of a Pulsed Fracture and an Electric Breakdown// Technical Physics, Vol. 49, No. 11, 2004, pp.1447-1451.

A. Kashtanov and Yu. Petrov. Fractal models in fracture mechanics// International Journal of Fracture. Volume 128, Issue 1, Jul 2004. P.271-276.

A. Gruzdkov, N. Morozov, and Y. Petrov. Dynamic loading. Transition between ductile and brittle fracture. Influence of temperature// Proc. of 6th Int. Congress on Thermal Stresses (Eds. F.Ziegler, R.Heuer and C.Adam), 26-29 May 2005, Vienna. Univ. of Technology, Vienna, Austria. 2005, Vol.1, 2005. P.261-264.

Yu. V. Petrov, A. A. Gruzdkov, and N. F. Morozov. The Principle of Equal Powers for Multilevel Fracture in Continua// Doklady Physics. 2005, V.50, Issue 9, pp.448-451.

Yu. V. Petrov and E. V. Sitnikova. Temperature Dependence of Spall Strength and the Effect of Anomalous Melting Temperatures in Shock-Wave Loading// Technical Physics, Vol. 50, No. 8, 2005, pp.1034-1037.

A. V. Kashtanov and Yu. V. Petrov. Energy Approach to Determination of the Instantaneous Damage Level// Technical Physics Vol. 51, No. 5, 2006 pp.604-608.

N.F. Morozov, Y.V. Petrov. Incubation time based testing of materials// European Journal of Mechanics. A/Solids, 2006, Vol.25. P.670–676.

G.A. Volkov, A.A. Gruzdkov, Yu.V. Petrov. Fnalysis of acoustical cavitation on the basis of incubation time notion // Proc. of the 3rd International Summer Scientific School «High Speed Hydrodynamics and Numerical Simulation», June 2006, Kemerovo, Russia. P.101-107.

N.F. Morozov, Yu.V. Petrov, B.A. Ivanov, M.Ya. Marov, V.I. Smirnov// Prediction of the Threshold Fracture Energy in Impact Cratering Mechanics. Doklady Physics, 2007, Vol. 52, No. 1, pp.41–43.

G. A. Volkov, A. A. Gruzdkov, and Yu. V. Petrov. The Incubation Time Criterion and the Acoustic Strength of Sea Water// Acoustical Physics, 2007, Vol. 53, No. 2, pp.119–122.

V.A. Bratov, Y.V. Petrov. Application of the Incubation Time Criterion to the Description of Dynamic Crack Propagation// Doklady Physics, 2007, Vol. 52, No. 10, pp.565–567.

A. Gruzdkov, N. Morozov, Y. Petrov. Thermal Problems In Dynamic Fracture// Proc. of 7th International Congress on Thermal Stresses, Tai Pai, Taiwan, June 4-7, 2007, Vol.1, pp.247-250.

A. V. Kashtanov, Yu. V. Petrov. Kinetic Description of Incubation Processes under Dynamic Fracture// Doklady Physics, 2007, Vol. 52, No. 5, pp.270–273.

Bratov V., Petrov Y. Optimizing energy input for fracture by analysis of the energy required to initiate dynamic mode I crack growth// International Journal of Solids and Structures. 2007, V.44. pp.2371-2380.

Klepaczko J.R., Petrov Y.V., Atroshenko S.A., Chevrier P., Fedorovsky G.D., Krivosheev S.I., Utkin A.A. Behavior of particle-filled polymer composite under static and dynamic loading// Engineering Fracture Mechanics. 2007, V.75, No.1. pp.136-152.

Yu.V. Petrov, V.I. Smirnov. Temperature Dependence of the Threshold Impact Velocity for Erosion Fracture// Doklady Physics, 2007, Vol. 52, No. 10, pp.549-553.

Bratov V., Petrov Y. Application of incubation time approach to simulate dynamic crack propagation// International Journal of Fracture. 2007, V.146. P.53-60.

Yu. V. Petrov, A. A. Gruzdkov, and E. V. Sitnikova. Anomalous Behavior of Yield Stress upon an Increase in Temperature under High Strain Rate Conditions// Doklady Physics, 2007, Vol. 52, No. 12, pp.691–694.

A.A. Gruzdkov, Yu.V. Petrov. Cavitation Breakup of Low- and High-Viscosity Liquids// Technical Physics, 2008, Vol. 53, No. 3, pp. 291–295.
Ю.В. Петров, А.А. Груздков, Н.А. Казаринов. Особенности динамического разрушения одномерных линейных цепочек// Докл. Акад. Наук, 2008, т.423, №1. С.51-55.
A.Kashtanov, Y.Petrov. Structural-kinetic approach in dynamics of continuum: fracture, spalling, cavitation, electrical breakdown// Proc. Of the XXII Int. congress on Theoretical and Applied Mechanics XXII ICTAM, 25-29 August 2008, Adelaide, Australia.
A.V. Kashtanov, Y.V.Petrov, N.Pugno, A.Carpinteri. Dynamic Fracture as a Process of Nonlinear Wave Propagation// International Journal of Fracture, 2008. Vol.150, pp.227-240.
Y. Petrov. Incubation Time Based Fracture Mechanics// Proc. Of the XXII Int. congress on Theoretical and Applied Mechanics XXII ICTAM, 25-29 August 2008, Adelaide, Australia.
Gruzdkov, S. Krivosheev, Yu. Petrov, A. Razov, A. Utkin. Martensitic inelasticity of TiNi-shape memory alloy under pulsed loading// Materials Science and Engineering A 481–482 (2008) 105–108.
В.А. Братов, Л.М. Исаков, Ю.В.Петров. Критерий инициирования детонации в газовых смесях// Докл. Акад. Наук, 2008, т.422, №5. С.612-614.
A. Gruzdkov, E. Sitnikova, N. Morozov, Y. Petrov. Thermal effect in dynamic yielding and fracture of metals and alloys// Mathematics and Mechanics of Solids, 2009. 14. P.72-87
Y.Petrov, V.Bratov, Numerical Simulations of Dynamic FractureProc. Of the 12th International Conference on Fracture, Jule 12-17, 2009, Canada, Ottawa.
Г. А. Волков, В. В. Зильбершмит, А. В. Митрофанов, А. А. Груздков, В. А. Братов, Ю. В. Петров Минимизация энергии разрушающего импульса при контактном взаимодействии // Доклады РАН т. 427, № 1, 2009, с. 41-43.
L. Isakov, Y. Petrov, Common approach to the phase transition theory by the examples of fracture mechanics and the theory of detonation// World Journal of Engineering, Vol.6 Suppl 2009, P.405-407.
Г. А. Волков, А. А. Груздков, Ю. В. Петров Кавитационная прочность криогенных жидкостей, критерий инкубационного времени // Физика твердого тела т. 79, Вып. 11, 2009, с. 147-149.
I. I. Argatov,, N. N. Dmitriev, Yu. V. Petrov, V. I. Smirnov.Threshold Erosion Fracture in the Case of Oblique Incidence// Journal of Friction and Wear, 2009, Vol. 30, No. 3, pp. 176–181.
Ю.В. Петров, В.И. Смирнов. О взаимосвязи пороговых характеристик эрозионного и откольного разрушения// Журнал технической физики, 2010, том 80, вып. 2. с. 71-78
Y.Petrov, V.Bratov, Anomalous Behavior of Strength and Yield Limits under Short Pulse Loading. Possible Explanation of Embrittlement of Nuclear Constructional Materials Irradiated at Elevated Temperatures Proc. Of the 12th International Conference on Fracture, Jule 12-17, 2009, Canada, Ottawa.