Anton Krivtsov: Selected publications

A.M. Krivtsov > Selected publications

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Books

• E.M. Galimov, A.M. Krivtsov. Origin of the Moon. New Concept. Geochemistry and Dynamics. - De Gruyter. 2012. - 168 p.

• A.M. Krivtsov. Deformation and fracture of solids with microstructure. Moscow, Fizmatlit. 2007. 304 p. (In Russian)

Chapters

• P.A. Zhilin, H. Altenbach, E.A. Ivanova, A.M. Krivtsov. Material Strain Tensor. H. Altenbach et al. (eds.), Generalized Continua as Models for Materials, Advanced Structured Materials 22 © Springer-Verlag Berlin Heidelberg 2013, pp. 321–331. SpringerLink

Papers

New (2020)

• S.N. Gavrilov, A.M. Krivtsov. Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. 2020, Continuum Mechanics and Thermodynamics, 32(1), с. 41-61 (abstract, download pdf)

• A.M. Krivtsov, M.B. Babenkov, D.V. Tsvetkov. Heat Propagation in a One-Dimensional Harmonic Crystal on an Elastic Foundation. 2020, Physical Mesomechanics, Vol. 23, No. 2, pp. 109–119 (abstract, download pdf).

• V.A. Kuzkin, A.M. Krivtsov. Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature. 2020, Physical Review, E 101, 042209 (abstract, download pdf)

• A.V. Savin, E.A. Korznikova, A.M. Krivtsov, S.V. Dmitriev. Longitudinal stiffness and thermal conductivity of twisted carbon nanoribbons.2020, European Journal of Mechanics, A/Solids, 80,103920 (abstract, download pdf)

2019

• S.N. Gavrilov, A.M. Krivtsov. Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. 2019, Continuum Mechanics and Thermodynamics, Vol.31, pp. 1-21 (abstract, download pdf)

• S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional damped harmonic crystal. 2019, Physical review E, E100, 022117 (abstract, download pdf)

• S.N. Gavrilov, A.M. Krivtsov, D.V. Tsvetkov. Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply. 2019, Continuum Mechanics and Thermodynamics, Vol.31, p.p 255-272 (abstract, download pdf)

• A.M. Krivtsov. The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal. Dynamical Processes in Generalized Continua and Structures, 2019, Vol. 103, p.p 345-358, (abstract, download pdf)

• A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal. 2019, ArXiv:1908.05464 (abstract, download pdf)

• A.M. Krivtsov, E.A. Podolskaya, V.Yu. Shubina. Asymptotics of a thermal wave in a one-dimensional harmonic crystal. 2019, Materials Physics and Mechanics, Vol. 42, pp. 837-845 (abstract, download pdf)

• A.A. Le-Zakharov, A.M. Krivtsov, A.V. Porubov. Relation between defects and crystalline thermal conduction. 2019, Continuum Mechanics and Thermodynamics, ISSN 0935-1175, Volume 31, Number 6, pp. 1873–1881 (abstract, download pdf)

• O.S. Loboda, A.M. Krivtsov, A.V. Porubov, D.V. Tsvetkov. Thermal processes in a one-dimensional crystal with regard for the second coordination sphere. 2019, ZAMM. 13 p. (abstract, download pdf)

• A.S. Murachev, A.M. Krivtsov, D.V. Tsvetkov. Thermal echo in a one-dimensional harmonic crystal. IOP Sience 2019, Vol. 31, Num. 9. (abstract, download pdf)

• A.A. Sokolov, A.M. Krivtsov, W.H. Müller, E.N. Vilchevskaya. Change of entropy for one-dimensional ballistic heat equation - sinusoidal initial perturbation. 2019, Physical Review E, Vol.99, 042107 (abstract, download pdf )

2018

• A.M. Krivtsov, A.A. Sokolov, W.H. Müller, A.B. Freidin. One-Dimensional Heat Conduction and Entropy Production. Advances in Mechanics of Microstructured Media and Structures. 2018, Vol. 87, pp. 197–214 (abstract, download pdf)

• A.M. Krivtsov, V.A. Kuzkin. Discrete and continuum thermomechanics. 2018, Encyclopedia of Continuum Mechanics. (abstract, download pdf)

• V.A. Kuzkin, A.M. Krivtsov. Energy transfer to a harmonic chain under kinematic and force loadings: Exact and asymptotic solutions. Journal of Micromechanics and Molecular Physics 2018, Vol. 3, Nos. 1 & 2, 1850004. (abstract, download pdf)

• A.S. Murachev, D.V. Tsvetkov, E.M. Galimov, A.M. Krivtsov. Numerical Simulation of Circumsolar Ring Evolution. Advances in Mechanics of Microstructured Media and Structures. 2018, Vol. 87, pp. 251–262 (abstract, download pdf)

• A.V. Porubov, A.M. Krivtsov, A.E. Osokina. Two-dimensional waves in extended square lattice. International Journal of Non-Linear Mechanics. 2018, Vol. 99, pp. 281-287 (abstract, download pdf)

• D. Saadatmand, D. Xiong, V.A. Kuzkin, A.M. Krivtsov, A.V. Savin, S.V. Dmitriev. Discrete breathers assist energy transfer to ac driven nonlinear chains. Physical Review E. 2018, E 97, 022217 (abstract, download pdf)

2017

• A.M. Krivtsov. On heat transfer in a thermally perturbed harmonic chain. 2017, ArXiv:1709.07924 (abstract, download pdf)

• A.M. Krivtsov, V.A. Kuzkin. Enhanced vector-based model for elastic bonds in solids. Letters on Materials. 2017,Vol.7, No.4, pp.455-458 (abstract, download pdf)

• A.M. Krivtsov, V.A. Kuzkin. Unsteady heat transfer in harmonic scalar lattices. 2017, ArXiv:1702.08686 (abstract, download pdf)

• V.A. Kuzkin, A.M. Krivtsov. An analytical description of transient thermal processes in harmonic crystals. Physics of the Solid State. 2017, Vol. 59, No. 5, pp. 1051–1062 (abstract, download pdf)

• V.A. Kuzkin, A.M. Krivtsov. Fast and slow thermal processes in harmonic scalar lattices. Journal of Physics: Condensed Matter, 2017, Vol.29, No.50, pp.14 (abstract, download pdf)

• V.A. Kuzkin, A.M. Krivtsov. High-frequency thermal processes in harmonic crystals. Doklady Physics, 2017, № 5, pp. 529–533 (abstract, download pdf)

• A.Yu. Panchenko, E.A. Podolskaya, A.M. Krivtsov. Analysis of equations of state and determination of the Gr¨uneisen function for two-dimensional crystal lattices. Doklady Physics, 2017, № 2 (abstract, download pdf)

• A.A. Sokolov, A.M. Krivtsov, W. H. Müller. Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction. Physical Mesomechanics, 2017, Vol.20, No.3, pp.305–310 (abstract, download pdf).

2016

• M.B. Babenkov, A.M. Krivtsov, D.V. Tsvetkov. Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate. Phys. Mesomech., 19, No. 3 (2016) 282–290 (download pdf).

• I.E. Berinskii, A.M. Krivtsov. A hyperboloid structure as a mechanical model of the carbon bond. International Journal of Solids and Structures, 2016, 96, pp. 145-152 (abstract, download pdf)

• V.A. Kuzkin, A.M. Krivtsov, E.A. Podolskaya, M.L. Kachanov. Lattice with vacancies: elastic fields and effective properties in frameworks of discrete and continuum models. Philolophical Magazine, 2016, 96 (15), pp. 1538-1555 (download pdf)

• E.A. Podolskaya, A.Yu. Panchenko, A.B. Freidin, A.M. Krivtsov. Loss of ellipticity and structural transformations in planar simple crystal lattices. Acta Mechanica, 2016, 227(1), 185-201 (download pdf)

2015

• I.E. Berinskii, A.M. Krivtsov. Linear oscillations of suspended graphene / H. Altenbach and G.I. Mikhasev (eds.), Shell and Membrane Theories in Mechanics and Biology, Advanced Structured Materials 45 © Springer International Publishing Switzerland 2015, pp. 99–107. (abstract, download pdf)

• A.M. Krivtsov. Heat transfer in infinite harmonic one dimensional crystals. Doklady Physics, 2015, Vol. 60, No. 9, pp. 407–411 (download pdf)

• A.M. Krivtsov. On unsteady heat conduction in a harmonic crystal. 2015, ArXiv:1509.02506 (abstract, download pdf, simulation)

• V.A. Kuzkin, A.M. Krivtsov. Nonlinear positive/negative thermal expansion and equations of state of a chain with longitudinal and transverse vibrations. Physica Status Solidi B, 252, No. 7, pp. 1664–1670, 2015 (download pdf)

• V.A. Kuzkin, A.M. Krivtsov, Reese E. Jones, Jonathan A. Zimmerman. Equivalent stress tensor for discrete systems, accurate for homogenous deformations. Физическая мезомеханика. Vol. 18, No. 1, 2015, pp. 13-23 (download pdf)

2014

• I.E. Berinskii, A.M. Krivtsov, A.M. Kudarova. Bending stiffness of a graphene sheet. Physical Mesomechanics. 2014, Vol. 17, No. 4, pp. 356-364. (Download pdf: 119 Kb)
• V.A. Kuzkin, A.M. Krivtsov, A. M. Linkov. Computer simulation of effective viscosity of fluid-proppant mixture used in hydraulic fracturing. Journal of Mining Sciences., 2014, Vol. 50, Iss.1, pp 1-9. (Download pdf: 277 Kb)
• V.A. Kuzkin, A.M. Krivtsov, A.M. Linkov. Comparative Study of Rheological Properties of Suspensions by Computer Simulation of Poiseuille and Couette Flows. Journal of Mining Science, 2014, Vol. 50, No. 6, pp. 1017–1025.
• V.A. Kuzkin, A.M. Krivtsov, R. E. Jones, J. A. Zimmerman. Equivalent stress tensor for discrete systems, accurate for homogenous deformations. Физическая мезомеханика. Vol. 18, No. 1, 2015, pp. 13-23. (Download pdf:264 Kb)
• A.M. Krivtsov. Energy oscillations in a one-dimensional crystal. Doklady Physics, 2014, Vol. 59, No. 9, pp. 427–430. (Download pdf: 162 Kb)

2013

• E.A. Podolskaya, A.M. Krivtsov, A.Yu. Panchenko. Stability and Structural Transitions in Crystal Lattices. H. Altenbach and N. F. Morozov (eds.), Surface Effects in Solid Mechanics, Advanced Structured Materials 30, Springer-Verlag Berlin Heidelberg 2013, P. 123-133 (Download pdf: 467 Kb)
• P.A. Zhilin, H. Altenbach, E.A. Ivanova, A.M. Krivtsov. Material Strain Tensor. H. Altenbach et al. (eds.), Generalized Continua as Models for Materials, Advanced Structured Materials 22 © Springer-Verlag Berlin Heidelberg 2013, pp. 321–331. (Download pdf: 218 Kb, SpringerLink)

2012

• A.M. Krivtsov, O.S. Loboda. Description of elastic properties of diamond- and sphalerite-structured diatomic crystals with the use of moment interaction. Physical Mesomechanics 15, 3-4 (2012), 238-244. ( pdf )

• A.M. Krivtsov, O.S. Loboda, S.S. Khakalo. Comparison of micromodels describing the elastic properties of diamond. Mechanics of Solids. September 2012, Volume 47, Issue 5, pp 525-532. (SpringerLink)

• E.A. Podolskaya, A.M. Krivtsov. Description of the Geometry of Crystals with a Hexagonal Close-Packed Structure Based on Pair Interaction Potentials . Physics of the Solid State, 2012, Vol. 54, No. 7, pp. 1408–1416.

• E.A. Podolskaya, A.M. Krivtsov, A.Yu. Panchenko, P.V. Tkachev. Stability of ideal infinite two-dimensional crystal lattice. Doklady Physics, 2012, Vol. 57, No. 2, pp. 92–95. (pdf: 244 Kb)

• P.V. Tkachev, A.M. Krivtsov. Description of the dependence between the spall strength and strain rate for metals using Morse potential. Nanosystems: Physics, Chemistry, Mathematics. 2012, 3, № 5, 70–75.

2011

• S.V. Vasil'ev, A.M. Krivtsov, E.M. Galimov. Study of the planet–satellite system growth process as a result of the accumulation of dust cloud material. Solar System Research, 2011, Vol. 45, No. 5, pp. 410–419. (pdf: 338 Kb)

• A.M. Krivtsov, V.A. Kuzkin. Derivation of equations of state for ideal crystals of simple structure. Mechanics of Solids, 2011, Vol. 46, No. 3, pp. 387–399. (Abstract, pdf: 529 Kb)

• V.A. Kuzkin, A.M. Krivtsov. Description for Mechanical Properties of Graphene Using Particles with Rotational Degrees of Freedom. Doklady Physics, 2011, Vol. 56, No. 10, pp. 527–530. (pdf: 172 Kb)

• E.A. Podolskaya, A.Yu. Panchenko, A.M. Krivtsov. Stability of 2D triangular lattice under finite biaxial strain. Nanosystems: Physics, Chemistry, Mathematics. 2011, 2 (2), p. 84–90. (Abstract, download pdf: 231 Kb)

• Y. Chen, J. A. Zimmerman, A.M. Krivtsov, D.L. McDowell. Assessment of atomistic coarse-graining methods. International Journal of Engineering Science (2011), Volume 49, Issue 12, 1337-1349. (Abstract, pdf: 530 Kb)

2010

• I.E. Berinskii, A.M. Krivtsov. On using many-particle interatomic potentials to compute elastic properties of graphene and diamond. Mechanics of Solids, 2010, Vol. 45, No. 6, pp. 815–834. (Abstract, pdf: 608 Kb)

• A.M. Krivtsov, E.A. Podolskaya. Modeling of Elastic Properties of Crystals with Hexagonal Close-Packed Lattice. Mechanics of Solids, 2010, Vol. 45, No. 3, pp. 370–378. (Abstract, pdf: 502 Kb)

• V.A. Kuzkin, A.M. Krivtsov. Equivalent thermo-mechanical parameters for perfect crystals. ArXiv 2010. Also published in Proc. of IUTAM Symposium on The Vibration Analysis of Structures with Uncertainties (St. Petersburg, Russia, 2009), Springer, 2011, pp. 403-416. (Download pdf: 525 kb)

• A. Fradkov, A.M. Krivtsov. Speed-gradient principle for description of transient dynamics in systems obeying maximum entropy principle. AIP Conference Proceedings (2010), Volume 1305, 399-406. 30th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2010; Chamonix; France. (Abstract, pdf )

See also

• Selected publications before 2009.
• Additional publications