Sergey Nazarenko:

Google Scholar Citation Report (including H-index)


    Papers published in international refereed journals:

  1. Kolmogorov Weakly Turbulent Spectra of Some Types of Drift Waves in Plasma (A.B. Mikhailovskii, S.V. Nazarenko, S.V. Novakovskii, A.P. Churikov and O.G. Onishenko) Phys.Lett.A 133 (1988) 407-409.

  2. Kinetic Mechanisms of Exitation of Drift-Ballon Modes in Tokamaks (A.B. Mikhailovskii, S.V. Nazarenko and A.P. Churikov) Soviet Journal of Plasma Physics 15 (1989) 33-38.

  3. Nonlocal Drift Wave Turbulence (A.M.Balk, V.E.Zakharov and S.V. Nazarenko) Sov.Phys.-JETP 71 (1990) 249-260.

  4. On the Nonlocal Turbulence of Drift Type Waves (A.M.Balk, S.V. Nazarenko and V.E.Zakharov) Phys.Lett.A 146 (1990) 217-221.

  5.  On the Physical Realizability of Anisotropic Kolmogorov Spectra of Weak Turbulence (A.M.Balk and S.V. Nazarenko) Sov.Phys.-JETP 70 (1990) 1031-1041.
  6. A New Invariant for Drift Turbulence (A.M.Balk, S.V. Nazarenko and V.E. Zakharov) Phys.Lett.A 152 (1991) 276-280.
  7. On the Nonlocal Interaction with Zonal Flows in Turbulence of Drift and Rossby Waves (S.V. Nazarenko) Sov.Phys.-JETP, Letters, June 25, 1991, p.604-607.

  8. Kinetic Equation for Point Vortices in a Shear Flow (S.V. Nazarenko and V.E. Zakharov) Physica D 56 (1992) 381-388.

  9. * Wave-Vortex Dynamics in Drift and beta-plane Turbulence (A.I. Dyachenko, S.V. Nazarenko and V.E. Zakharov) Phys,Lett.A 165 (1992) 330-334.

  10. Role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations. (S.V. Nazarenko and V.E.Zakharov) Phys. Lett A. 191 (1994) 403-408.

  11. On scaling laws for the transition to turbulence in uniform shear flows (B. Dubrulle and S.V. Nazarenko) Europhys. Lett. 27 (1994) 129-134.

  12. Communication through plasma sheaths via Raman scattering process. (S.V. Nazarenko, A.C.Newell and V.E.Zakharov) Physics of Plasmas 1 (1994) 2827-2834.

  13. Nonlinear interaction of small-scale Rossby waves with an intense large-scale zonal flow. (D.Yu. Manin and S.V. Nazarenko) Phys. Fluids. A 6 (1994) 1158-1167.

  14. * Absorption of sound by vortex filaments, (S.V. Nazarenko ) Phys. Rev. Lett. 73 (1994) 1793-1796.

  15. More on the absorption of sound by vortex filaments , (S.V. Nazarenko) Phys. Rev. Lett., 75 (1995) 1868.

  16. Resonant absorption of short pulses (S.V. Nazarenko, A.C. Newell and A.M. Rubenchik) Phys. Lett. A , 197 (1995) 159-163.

  17. Communication with re-entry space vehicles via short pulses (S.V. Nazarenko, A.C. Newell and A.M. Rubenchik) Radio Science , 30, issue 6, 1753-1766 (1995).

  18. Nonlinear sound-vortex interactions in an inviscid isentropic fluid: a two fluid model (S.V. Nazarenko, N.J. Zabusky and T. Scheidegger) Phys. Fluids , 7 (1995) 2407-2419.

  19. Circulation density and its role in 3D turbulence, (S.V. Nazarenko)Physica D 102 (1997) 343-348

  20. Interaction of turbulence and large vortices in 2D inviscid fluids (B. Dubrulle and S.V. Nazarenko), Physica D 110 (1997) 123-138

  21. * A WKB theory for rapid distortion of inhomogeneous turbulence , (S.V. Nazarenko, N.Kevlahan and B.Dubrulle) Journal of Fluid Mech. 390 (1999) 325. 

  22. A weak turbulence theory for incompressible Magnetohydrodynamics (S. Galtier, S.V. Nazarenko, A.C. Newell and A. Pouquet), in: Nonlinear MHD waves and turbulence, (eds. T. Passot and P.-H. Sulem) Springer-Verlag, 1999.

  23. Nonlocality of interaction of scales in the dynamics of 2D incompressible fluids (J-P. Laval, B.Dubrulle and S.V. Nazarenko) Phys. Rev. Lett. , 83 (Nov 15, 1999) 4061-4064.

  24. * Nonlinear RDT theory of near-wall turbulence (S.V. Nazarenko, N.K.-R. Kevlahan and B. Dubrulle) Physica D, 139 (2000) 158-176

  25. On exact solutions for near-wall turbulence theory, (S.V. Nazarenko) Physics Letters A, 264 (2000) 444-448.

  26. Non-local 2D turbulence and Batchelor's regime for passive scalars (S.V. Nazarenko and J.-P. Laval), Journal of Fluid Mech. 408 (2000) 301-321.

  27. * A weak turbulence theory for incompressible MHD (S. Galtier, S.V. Nazarenko, A.C. Newell and A. Pouquet) Journal of Plasma Phys., 63 (2000) 447-488

  28. Dynamical modelling of sub-grid scales in 2D turbulence (J-P. Laval, B.Dubrulle and S.V. Nazarenko) Physica D, 142 (2000) 231-253.

  29. Nonlocal MHD turbulence (S. Galtier, S.V. Nazarenko and A.C. Newell) Physica D, 152-153 (2001) 646-652.

  30. Wave turbulence and Intermittency (A.C. Newell, S.V. Nazarenko and L. Biven) Physica D, 152-153 (2001) 520-550.

  31. Feedback of a small-scale magnetic dynamo (S.V. Nazarenko, G.E. Falkovich and S. Galtier) Phys. Rev E, vol 63, 016408 (2001) (8 pages).

  32. Breakdown of wave turbulence and the onset of intermittency (L. Biven, S.V. Nazarenko and A.C. Newell) Physics Letters A Vol 280/1-2, (2001) pp 28-32.

  33. Discreteness and quasi-resonances in capillary wave turbulence (C. Connaughton, S.V. Nazarenko and A. Pushkarev) Phys. Rev E, Vol 63, (2001) 046306 (4 pages).

  34. Nonlocality and intermittency in 3D turbulence (B. Dubrulle, J.-P. Laval and S.V. Nazarenko) Phys. Fluids , Vol 13 (2001) pp. 1995-2012.

  35. A dynamic subfilter-scale model for plane parallel flows (B. Dubrulle, J.-P. Laval, S.V. Nazarenko and N.K.-R. Kevlahan) Phys. Fluids , Vol 13 (2001) pp. 2045-2064

  36. On wave turbulence in MHD (S. Galtier, S.V. Nazarenko and A.C. Newell) Nonlinear Processes in Geophysics, 8 (3): 141-150 MAY 2001.

  37. Propagation of Shocks through Nonuniformly Heated Gases (K. Kremeyer, S.V. Nazarenko and A. C. Newell), Physica D, Vol. 163 (2002) pp 150-165.

  38. Anisotropic turbulence of shear-Alfven waves (S. Galtier, S.V. Nazarenko, A.C. Newell and A. Pouquet) Astrophys. J. Lett., 564, pp L49-L52 (2002).

  39. Dimensional analysis and weak turbulence (C. Connaughton, S.V. Nazarenko and A.C. Newell) Physica D, 184 (2003) 86-97.

  40. * Analytical solution for NLS vortex reconnection (S.V. Nazarenko and R.J. West) J. Low Temp. Phys, 132 (1-2): 1-10 JUL 2003

  41. Fourier space intermittency of the small-scale turbulent dynamo (S.V. Nazarenko, R.West and O. Zaboronski) Phys Rev E, 68, 026311 (2003) (also on astro-ph/0304540 v1 29 april 2003)

  42. Wave turbulence in Bose-Einstein condensates (Yu. Lvov, S.V. Nazarenko and R.J. West) Physica D, Volume 184, Issues 1-4 , 1 October 2003, Pages 333-351.

  43. Fast numerical simulation using a dynamical model for a small-scale turbulent motion (B. Dubrulle, J.-P. Laval and S.V. Nazarenko) J. Comp. Phys volume 196 (1) pp 184-207, 2004 (arXiv:physics/0101037 v1 5 Jan 2001).

  44. * Warm cascades and anomalous scaling in a diffusion model of turbulence (C. Connaughton and S.V. Nazarenko) PRL, volume 92, issue 4 (2004) 044501 (4 pages). (longer version on arXiv).

  45. Kinematic turbulent dynamo in the large Prandtl number regime (R.West, S.V. Nazarenko, S.Galtier, J.P. Laval), Astronomy and Astrophysics, volume 414 pp 807-824, 2004 (also on )

  46. "Noisy" spectra, long correlations and intermittency in wave turbulence (Y. Lvov and S.V. Nazarenko) Phys. Rev. E, vol 69, 066608 (2004) (also on arXiv:math-ph/0305028 v1 13 May 2003).

  47. A model for rapid stochastic distortions of small-scale turbulence (B. Dubrulle, J.-P. Laval, S.V. Nazarenko and O. Zaboronski) JFM vol 520 , pp 1 - 21 (2004) (arXiv:physics/0304035 v1 9 Apr 2003) .

  48. * Anomalous probability of large amplitudes in wave turbulence (Y.Choi, Y.Lvov, S.V. Nazarenko and B.Pokorni)  Physics Letters A, Volume 339, Issue 3-5, p. 361-369 (arXiv:math-ph/0404022 v1 & Apr 2004).

  49. Dynamics of the Bose-Einstein condensation ( V.E.Zakharov and S.V. Nazarenko) Physica D, Vol 201, pp 203-211 (2005).

  50. Probability Densities and Preservation of Randomness in Wave Turbulence (Y.Choi, Y.Lvov and S.V. Nazarenko) Physics Letters A, Vol 332/3-4 pp 230-238 (2004).

  51. Energy spectra of developed superfluid turbulence (with V.S.Lvov and G.Volovik) JETP Letters 80 (7) pp 535-539 (2004).

  52. Joint statistics of amplitudes and phases in Wave Turbulence (with Y.Choi and Y.Lvov), Physica D Vol 201 (2005) 121-149
  53. Wave Turbulence (with Y.Choi and Y.Lvov)  in "Recent developments in fluid dynamics" 5 (2004), p 225, Transworld Research Network, Kepala, India.
  54. Sandpile behaviour in discrete water-wave turbulence (S. Nazarenko),  J. Stat. Mech. (2006) L02002   doi:10.1088/1742-5468/2006/02/L02002 (arXiv: nlin.CD/0510054).
  55. Differential approximation for Kelvin-wave turbulence (S. Nazarenko) ,  JETP Letters vol 83, No 5 (2005) pp 198-200 (arXiv: cond-mat/0511136).
  56. Discreteness and its effect on water-wave turbulence ( Y. Lvov, S.Nazarenko and B.Pokorni) Physica D , Volume 218, Issue 1, 1 June 2006, Pages 24-35 (2006) (arXiv: math-ph/0507054).
  57. Differential Models for 2D turbulence , (V. Lvov and S. Nazarenko), JETP Letters vol. 83, issue 12, page 635-639. (2006) (arXiv: nlin.CD/0605003).
  58. Wave turbulence and vortices in Bose-Einstein condensation (S. Nazarenko and M. Onorato), Physica D, vol. 219 (2006) pp 1-12 (arXiv: nlin.CD/0507051).
  59. Energy Spectra of Developed Turbulence in Helium Superfluids (V.S. Lvov, S.V. Nazarenko and L. Skrbek) JLTP, vol. 145 (1-4) pp 125-142 (Nov 2006).
  60. Freely decaying turbulence and Bose-Einstein condensation in Gross-Pitaevski model (S. Nazarenko and M. Onorato),  J. Low Temp Phys. vol. 146 (1/2) pp 31-46(Jan 2007) (arxiv: nlin/0610016)
  61. Kelvin wave turbulence generated by vortex reconnections (Sergey Nazarenko), JETP Letters (2006), vol. 84, issue 11, page 585-587.   (Arxiv:cond-mat/0610420)
  62. Gravity surface wave turbulence in a laboratory flume (Petr Denissenko, Sergei Lukaschuk and Sergey Nazarenko), Phys. Rev. Lett. 99, 014501 (2007), longer version on Arxiv nlin/0610015
  63. 2D enslaving of MHD turbulence (Sergey Nazarenko) New J. Phys. 9 307 doi:10.1088/1367-2630/9/8/307 (2007).
  64. Bottleneck crossover between classical and quantum superfluid turbulence (Victor S. L'vov, Sergei V. Nazarenko and Oleksii Rudenko) , Phys Rev B 76 (2) 024520 Jul 2007 Arxiv: nlin/0612018 (December 2006)
  65. Coalescence of particles by differential sedimentation (P. Horvai, S. V. Nazarenko and T. H. M. Stein)  J.Stat.Phys., DOI is 10.1007/s10955-007-9466-y arXiv:0705.2618 (May 2007).
  66. Resonant interactions of nonlinear water waves in a finite basin (Elena Kartashova, Sergey Nazarenko and Oleksii Rudenko)   Phys. Rev. E 78, 016304 (2008); arXiv:0803.3308 (March 2008)
  67. S. Galtier and S. Nazarenko, Large-Scale Magnetic Field Re-generation by Resonant MHD Wave Interactions, , Journal of Turbulence Vol. 9 (No. 40) (2008) 1-10.
  68. Gradual eddy-wave crossover in superfluid turbulence (Victor S. L'vov, Sergey V. Nazarenko and Oleksii Rudenko), Journal of Low Temperature Physics, Volume: 153 Issue: 5-6 Pages: 140-161 Published: DEC 2008, DOI: 10.1007/s10909-008-9844-0, arXiv:0807.1258 (2008)
  69. Canonical Hamiltonians for waves in inhomogeneous media (Boris Gershgorin, Yuri V. Lvov and Sergey Nazarenko) Journal of Math Phys, Volume: 50 Issue: 1 Article Number: 013527 Published: JAN 2009, arXiv:0807.1149 (July 2008)
  70. Gravity Wave Turbulence in Wave Tanks: Space and Time Statistics (S. Lukaschuk, S. Nazarenko, S. McLelland and P. Denissenko), PRL, Volume: 103 Issue: 4 Article Number: 044501 Published: JUL 24 2009. Larger version on arXiv:0811.2579 (November 2008)
  71. Modeling Kelvin Wave Cascades in Superfluid Helium (G. Boffetta, A. Celani, D. Dezzani, J. Laurie and S. Nazarenko) JOURNAL OF LOW TEMPERATURE PHYSICS Volume: 156 Issue: 3-6 Pages: 193-214 Published: SEP 2009; arXiv:0911.1916 (November 2009)
  72. Aspects of Two-Mode Probability Density Function in Weak Wave Turbulence (Choi Y, Jo SG, Kim HI, Nazarenko,S), JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN , Volume: 78, Issue: 8 Article Number: 084403 Published: AUG 2009.
  73. Triple Cascade Behavior in Quasigeostrophic and Drift Turbulence and Generation of Zonal Jets (Nazarenko S, Quinn B) Source: PHYSICAL REVIEW LETTERS Volume: 103 Issue: 11 Article Number: 118501 Published: SEP 11 2009
  74. Optical Wave Turbulence (U.Bortolozzo, J.Laurie, S.Nazarenko and S.Residori) Journal of the Optical Society of America B, Vol. 26, Issue 12, (2009) pp. 2280-2284; arXiv:0904.2552 (April 2009) .
  75. Statistics of surface gravity wave turbulence in the space and time domains (S. Nazarenko, S. Lukaschuk, S. McLelland and P. Denissenko) Journal of Fluid Mechanics, Volume 642 (2010), pages 395-420, arXiv:0811.2579 (November 2008)
  76. Energy cascades and spectra in turbulent Bose-Einstein condensates (Davide Proment, Sergey Nazarenko and Miguel Onorato) Phys. Rev. A 80, issue 5, 051603(R) (2009); arXiv:0905.3263 (May 2009)
  77. Interaction of Kelvin waves and non-locality of the energy transfer in superfluids (Jason Laurie, Victor S. L'vov, Sergey Nazarenko and Oleksii Rudenko), Phys. Rev. B., 81, 104526 (2010); arXiv:0911.1733 (November 2009)
  78. Spectrum of Kelvin-wave turbulence in superfluids (Victor S. L'vov and Sergey Nazarenko) JETP Letters (Pis'ma v ZhETF) , 91, 464-470 (2010).; arXiv:0911.2065 (November 2009)
  79. Discrete and mesoscopic regimes of finite-size wave turbulence (L'vov VS, Nazarenko S) PHYSICAL REVIEW E, Volume: 82, Issue: 5, Article Number: 056322, Part 2, NOV 19 (2010)
  80. Modulational instability of Rossby and drift waves and generation of zonal jets (Connaughton CP, Nadiga BT, Nazarenko SV, Quinn B) JOURNAL OF FLUID MECHANICS, Volume: 654, Pages: 207-231, JUL 10 (2010); arXiv:0905.2243 (May 2009)
  81. Interaction of Kelvin waves and nonlocality of energy transfer in superfluids (Laurie, J; L'vov, VS; Nazarenko, S; et al.) PHYSICAL REVIEW B, 81 (10): Art. No. 104526 MAR (2010).
  82. Comment on "Superfluid Turbulence from Quantum Kelvin Wave to Classical Kolmogorov Cascades'' (L'vov V, Nazarenko S) PHYSICAL REVIEW LETTERS, Volume: 104, Issue: 21, Article Number: 219401, MAY 28 (2010)
  83. Spectrum of Kelvin-wave turbulence in superfluids Author(s): L'vov VS, Nazarenko S Source: JETP LETTERS Volume: 91 Issue: 8 Pages: 428-434 Published: APR (2010)
  84. Reply: On Role of Symmetries in Kelvin Wave Turbulence Author(s): Lebedev VV, L'vov VS, Nazarenko SV Source: JOURNAL OF LOW TEMPERATURE PHYSICS Volume: 161 Issue: 5-6 Special Issue: Sp. Iss. SI Pages: 606-610 Published: DEC (2010)
  85. Weak turbulence of Kelvin waves in superfluid He Author(s): L'vov VS, Nazarenko S Source: LOW TEMPERATURE PHYSICS Volume: 36 Issue: 8-9 Pages: 785-791 Published: AUG (2010)
  86. Optical Wave Turbulence (U.Bortolozzo, J.Laurie, S.Nazarenko and S.Residori) book chapter in: "Localized States in Physics: Solitons and Patterns", pp 69-90, Springer-Verlag Localized States in Physics: Solitons and Patterns Descalzi, O.; Clerc, M.; Residori, S.; Assanto, G. (Eds.) (2011), XVIII, 286 p.
  87. Triple cascade behaviour in QG and drift turbulence and generation of zonal jets (Sergey Nazarenko and Brenda Quinn) IUTAM Symposium on Turbulence in the Atmosphere and Oceans, Cambridge, UK, December 8-12, 2008, Series: IUTAM Bookseries, Vol. 28, Dritschel, David (Ed.) pp 265-288, (2010), XXII, 302 p. ; arXiv:0905.1314 (May 2009)
  88. Feedback of zonal flows on wave turbulence driven by small-scale instability in the Charney-Hasegawa-Mima model (Connaughton C.; Nazarenko S.; Quinn B.) EPL Volume: 96 Issue: 2 Article Number: 25001 DOI: 10.1209/0295-5075/96/25001 Published: OCT 2011
  89. Warm turbulence in the Boltzmann equation (Proment D.; Nazarenko S.; Asinari P.; Onorato M.) EPL Volume: 96 Issue: 2 Article Number: 24004 DOI: 10.1209/0295-5075/96/24004 Published: OCT 2011
  90. Exact solution for the energy spectrum of Kelvin-wave turbulence in superfluids (Boue Laurent; Dasgupta Ratul; Laurie Jason; Lvov Victor; Proccacia Itamar) PHYSICAL REVIEW B Volume: 84 Issue: 6 Article Number: 064516 DOI: 10.1103/PhysRevB.84.064516 Published: AUG 23 2011
  91. Resonance phenomenon for the Galerkin-truncated Burgers and Euler equations (Ray Samriddhi Sankar; Frisch Uriel; Nazarenko Sergei; Matsumoto Takeshi) PHYSICAL REVIEW E Volume: 84 Issue: 1 Article Number: 016301 DOI: 10.1103/PhysRevE.84.016301 Part: Part 2 Published: JUL 5 2011
  92. Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture (Nazarenko Sergei V.; Schekochihin Alexander A.) JOURNAL OF FLUID MECHANICS Volume: 677 Pages: 134-153 DOI: 10.1017/jfm.2011.67 Published: JUN 2011 - available online (2011), arXiv:0904.3488 (April 2009).
  93. Warm cascade states in a forced-dissipated Boltzmann gas of hard spheres Author(s): Proment Davide; Onorato Miguel; Asinari Pietro; et al. Source: PHYSICA D-NONLINEAR PHENOMENA Volume: 241 Issue: 5 Pages: 600-615 DOI: 10.1016/j.physd.2011.11.019 Published: MAR 1 2012
  94. Sustained turbulence in the three-dimensional Gross-Pitaevskii model Author(s): Proment Davide; Nazarenko Sergey; Onorato Miguel Source: PHYSICA D-NONLINEAR PHENOMENA Volume: 241 Issue: 3 Special Issue: SI Pages: 304-314 DOI: 10.1016/j.physd.2011.06.007 Published: FEB 1 2012
  95. Weak Alfven-wave turbulence revisited Author(s): Schekochihin Alexander A.; Nazarenko Sergey V.; Yousef Tarek A. Source: PHYSICAL REVIEW E Volume: 85 Issue: 3 Article Number: 036406 DOI: 10.1103/PhysRevE.85.036406 Part: Part 2 Published: MAR 23 2012
  96. One-dimensional optical wave turbulence: Experiment and theory, Jason Laurie, Umberto Bortolozzo, Sergey Nazarenko, Stefania Residori, Physics Reports, Volume 514, Issue 4, May 2012, Pages 121-175.
  97. Dual local and non-local cascades in 3D turbulent Beltrami flows E. Herbert, F. Daviaud, B. Dubrulle, S. Nazarenko, A. Naso, EPL, 100 (2012) 44003.
  98. The modulational instability in the extended Hasegawa-Mima equation with a finite Larmor radius S Gallagher, B Hnat, C Connaughton, S Nazarenko, G Rowlands Physics of Plasmas 19, 122115 (2012)
  99. Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T= 0 superfluid turbulence" VS Lvov, SV Nazarenko Physical Review B 86 (22), 226501 (2012)
  100. Weak turbulence in two-dimensional magnetohydrodynamics N Tronko, SV Nazarenko, S Galtier Physical Review E 87 (3), 033103 (2013)
  101. Non-stationary regimes of surface gravity wave turbulence R Bedard, S Lukaschuk, S Nazarenko JETP Letters 97 (7-8), 529 (2013)
  102. Zonal flow generation and its feedback on turbulence production in drift wave turbulence A Pushkarev, W Bos, S Nazarenko Physics of Plasmas 20 (4), 042304 (2013)
  103. Quadratic invariants for discrete clusters of weakly interacting waves KL Harper, MD Bustamante, SV Nazarenko Journal of Physics A: Mathematical and Theoretical 46 (24), 245501 (2013)
  104. Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in the two-dimensional nonlinear Schrödinger model S Nazarenko, M Onorato, D Proment Physical Review A 90 (1), 013624 (2014)
  105. Invariant solutions for the nonlinear diffusion model of turbulence YA Chirkunov, SV Nazarenko, SB Medvedev, VN Grebenev Journal of Physics A: Mathematical and Theoretical 47 (18), 185501 (2014)
  106. Wave turbulence in quantum fluids GV Kolmakov, PVE McClintock, SV Nazarenko Proceedings of the National Academy of Sciences 111 (Supplement 1), 4727-4734 (2014)
  107. Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis VN Grebenev, SV Nazarenko, SB Medvedev, IV Schwab, YA Chirkunov Journal of Physics A: Mathematical and Theoretical 47 (2), 025501 (2014)
  108. Wave turbulence in the two-layer ocean model KL Harper, SV Nazarenko, SB Medvedev, C Connaughton Journal of Fluid Mechanics 756, 309-327 (2014)