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Department "Theoretical Mechanics" > Adminstration > V.A. Kuzkin > Publications

Publications of Vitaly A. Kuzkin

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Book chapters (in English)[править]

US Patents[править]

1. Lokshin A.M., Roberts-Thomson C.L., Kuzkin V.A., Systems and methods for in-motion gyroscope calibration, U.S. Patent Application № 62/112588, Feb 5, 2015.

2. Lokshin A.M., Kuzkin V.A., Roberts-Thomson C.L. Use of gyro sensors for jump detection, U.S. Patent Application № 62/001 935, May 28, 2014.

3. Lokshin A.M., Kuzkin V.A. Systems and methods for identifying and characterizing athletic maneurs. US patent, US 20140257743 A1, Application № 13/932 899, 2013.

4. Lokshin A.M., Kuzkin V.A. Method and apparatus for determining sportsman jumps using fuzzy logic. U.S. Patent Application № 13/612 470, Dec. 09, 2012.

5. Lokshin A.M., Kuzkin V.A., Dvas N.G. Device and method of gyro sensor calibration. US patent, Application № 13/291 844, 2011. (download)

Selected Publications (in English)[править]


  • Kuzkin V.A., Krivtsov A.M. Fast and slow thermal processes in harmonic scalar lattices. J. Phys.: Condens. Matter, 2017 (https://doi.org/10.1088/1361-648X/aa98eb)
  • Kuzkin V.A., Krivtsov A.M. An analytical description of transient thermal processes in harmonic crystals, Physics of the Solid State, 2017, Vol. 59, No. 5, pp. 1051–1062. (download author's version)
  • Kuzkin V.A., Krivtsov A.M. High-frequency thermal processes in harmonic crystals, Doklady Physics, 2017, Vol. 62, No. 2, pp. 85–89. (download author's version)
  • Lapin R.L., Kuzkin V.A., Kachanov M.L. On the anisotropy of cracked solids // Int. J. Eng. Sci., 2017 [submitted]
  • Tsaplin V.A., Kuzkin V.A. An asymptotic formula for displacement field in triangular lattice with vacancy // Letters on Materials, 7 (4), 2017, pp. 341-344
  • Tsaplin V.A., Kuzkin V.A. Temperature oscillations in harmonic triangular lattice with random initial velocities // Letters on Materials, 2017 (https://arxiv.org/abs/1709.04670)
  • Tsaplin V.A., Kuzkin V.A. On using quasi-random lattices for simulation of isotropic materials // Materials Physics and Mechanics, 2017 [accepted]
  • Lapin R.L., Kuzkin V.A. On calculation of effective elastic properties of materials with cracks // Materials Physics and Mechanics, No. 2, Vol. 32, 2017, pp. 213-221 (скачать pdf)
  • Kuzkin V.A., Krivtsov A.M. Enhanced vector-based model for elastic bonds in solids // Letters on Materials, 2017 [accepted]


  • Kuzkin V.A., Dannert M.M. Buckling of a column under a constant speed compression: a dynamic correction to the Euler formula // Acta Mechanica, 227(6), 1645-1652, 2016, DOI: 10.1007/s00707-016-1586-5 (download accepted version)
  • Kuzkin V.A., Krivtsov A.M., Podolskaya E.A., Kachanov M.L. Lattice with vacancies: elastic fields and effective properties in frameworks of discrete and continuum models // Philolosphical Magazine, 96 (15), 1538–1555, 2016, DOI:10.1080/14786435.2016.1167979 (download author's version)


  • Kuzkin V.A., Krivtsov A.M. 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, DOI: 10.1002/pssb.201451618 (download author's copy)
  • Kuzkin V.A. On angular momentum balance in particle systems with periodic boundary conditions // ZAMM, Vol. 95, Is. 11, pp. 1290–1295, 2015, DOI: 10.1002/zamm.201400045 (download author's copy)
  • Kuzkin V.A., Krivtsov A.M., Jones R.E., Zimmerman J.A. Material stress representation of equivalent stress tensor for discrete solids // Physical Mesomech, Vol. 18, No. 1, 2015, pp. 13-23 ( download author's copy)
  • Kuzkin V.A., Kachanov M. Contact of rough surfaces: Conductance - stiffness connection for contacting transversely isotropic half-spaces // International Journal of Engineering Science, Vol. 97, 2015, pp. 1–5 ( download author's copy)
  • Kuzkin V.A. Structural model for the dynamic buckling of a column under constant rate compression // arXiv:1506.00427 [physics.class-ph] (ArXiv version)
  • Kuzkin V.A. Addendum to "Vector-based model of elastic bonds for simulation of granular solids" // arXiv:1507.06957 [cond-mat.soft], 2015 (download ArXiv version)
  • Kuzkin V.A., Dannert M.M. The maximum force in a column under constant speed compression // arXiv:1511.01358 [physics.class-ph], 2015 (download ArXiv version)


  • Kuzkin V.A. Comment on "Negative thermal expansion in single-component systems with isotropic interactions" // J. Phys. Chem., 118 (41), pp 9793–9794, 2014, DOI: 10.1021/jp509140n ( download author's copy)
  • Kuzkin V.A., Krivtsov A.M., Linkov A.M. Computer simulation of effective viscosity of fluid-proppant mixture used in hydraulic fracturing // J. Min. Sci, Vol. 50, Iss.1, pp 1-9, 2014 ( download author's copy)
  • Kuzkin V.A., Krivtsov A.M., Linkov A.M. Comparative study of rheological properties of suspension by computer simulation of Poiseuille and Couette flows // J. Min. Sci, Vol. 50, Is. 6, pp 1017-1025, 2014 ( download author's copy)
  • Roberts-Thomson C., Lokshin A.M., Kuzkin V.A. Jump Detection Using Fuzzy Logic // Proc. of IEEE Symposium Series on Computational Intelligence, 2014, pp. 125 – 131, DOI: 10.1109/CIES.2014.7011841 (download preprint)


  • Kuzkin V.A., Krivtsov A.M., Linkov A.M. Proppant transport in hydraulic fractures: computer simulation of effective properties and movement of the suspension // Proceedings of 41 Summer-School Conference "Advanced Problems in Mechanics", 2013, pp. 321-336.





  • Kuzkin V.A. Equivalent thermo-mechanical parameters for perfect crystals with arbitrary multibody potentials // Proc. of XXXVII Summer School – Conference “Advanced Problems in Mechanics”. St. Petersburg. 2009.
  • Kuzkin V.A., Krivtsov A.M. Thermo-mechanical effects in perfect crystals with arbitrary multibody potential // Proc. of Joint U.S. Russia conference on Advances in Material Science, Prague, 2009, II, pp. 30-34.