Statistical Distribution of Pores in Solid and Molten Metals at Dynamic Tensile Fracture

  • Polina N. MayerEmail author
  • Alexander E. Mayer
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


Knowledge about the evolution of the size distribution of pores during fracture of material is essential for formulation and verification of the fracture models. Here we continue our previous study on the size distribution of pores in molten and solid metals in conditions of high-rate tension. We expand the previous molecular dynamics simulations on larger systems and lower strain rates. This simulations show that behaviour of solid metals can be more complex than in the case of melts. Solid metals can exhibit secondary nucleation of voids in intersection of lattice defects created by plastic growth of primary pores. Also we compare the obtained molecular dynamics results with theoretical model that takes into account nucleation of pores due to thermal fluctuations and variation of their sizes, which is governed by viscous flow in the case of melt or plasticity in the case of solid metals.


Tensile fracture Evolution of pore ensemble Size distribution Nucleation and size variation Molecular dynamics 



Investigation of metal melts is supported by the Russian Science Foundation (Project 17-71-10205); investigation of solid metals is supported by the Ministry of Science and Higher Education of the Russian Federation (State task 3.2510.2017/4.6).


  1. 1.
    Kanel, G.I., Zaretsky, E.B., Razorenov, S.V., Ashitkov, S.I., Fortov, V.E.: Unusual plasticity and strength of metals at ultra-short load durations. Phys. Usp. 60(5), 490–508 (2017)CrossRefGoogle Scholar
  2. 2.
    De Rességuier, T., Hemery, S., Lescoute, E., Villechaise, P., Kanel, G.I., Razorenov, S.V.: Spall fracture and twinning in laser shock-loaded single-crystal magnesium. J. Appl. Phys. 121(16), 165104 (2017)CrossRefGoogle Scholar
  3. 3.
    Krasyuk, I.K., Pashinin, P.P., Semenov, A.Y., Khishchenko, K.V., Fortov, V.E.: Study of extreme states of matter at high energy densities and high strain rates with powerful lasers. Laser Phys. 26(9), 094001 (2016)CrossRefGoogle Scholar
  4. 4.
    Ashitkov, S.I., Komarov, P.S., Ovchinnikov, A.V., Struleva, E.V., Agranat, M.B.: Strength of liquid tin at extremely high strain rates under a femtosecond laser action. JETP Lett. 103, 544–548 (2016)CrossRefGoogle Scholar
  5. 5.
    Kanel, G.I., Savinykh, A.S., Garkushin, G.V., Razorenov, S.V.: Dynamic strength of tin and lead melts. JETP Lett. 102, 548–551 (2015)CrossRefGoogle Scholar
  6. 6.
    Struleva, E.V., Ashitkov, S.I., Komarov, P.S., Khishchenko, K.V., Agranat, M.B.: Strength of iron melt at high extension rate during femtosecond laser ablation. J. Phys. Conf. Ser. 774, 012098 (2016)Google Scholar
  7. 7.
    Mayer, A.E., Mayer, P.N.: Continuum model of tensile fracture of metal melts and its application to a problem of high-current electron irradiation of metals. J. Appl. Phys. 118(3), 035903 (2015)CrossRefGoogle Scholar
  8. 8.
    Mayer, P.N., Mayer, A.E.: Late stages of high rate tension of aluminum melt: molecular dynamic simulation. J. Appl. Phys. 120(7), 075901 (2016)CrossRefGoogle Scholar
  9. 9.
    Rawat, S., Raole, P.M.: Molecular dynamics investigation of void evolution dynamics in single crystal iron at extreme strain rates. Comput. Mater. Sci. 154, 393–404 (2018)CrossRefGoogle Scholar
  10. 10.
    Mayer, P.N., Mayer, A.E.: Size distribution of pores in metal melts at non-equilibrium cavitation and further stretching, and similarity with the spall fracture of solids. Int. J. Heat Mass Transf. 127C, 643–657 (2018)CrossRefGoogle Scholar
  11. 11.
    Mayer, P.N., Mayer, A.E.: Evolution of foamed aluminum melt at high rate tension: a mechanical model based on atomistic simulations. J. Appl. Phys. 124(3), 035901 (2018)CrossRefGoogle Scholar
  12. 12.
    Plimpton, S.: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)CrossRefGoogle Scholar
  13. 13.
    Zope, R.R., Mishin, Y.: Interatomic potentials for atomistic simulations of the Ti-Al system. Phys. Rev. B 68, 024102 (2003)CrossRefGoogle Scholar
  14. 14.
    Stukowski, A.: Visualization and analysis of atomistic simulation data with OVITO–the open visualization tool. Modell. Simul. Mater. Sci. Eng. 18, 015012 (2010)CrossRefGoogle Scholar
  15. 15.
    Krasnikov, V.S., Mayer, A.E.: Plasticity driven growth of nanovoids and strength of aluminum at high rate tension: molecular dynamics simulations and continuum modeling. Int. J. Plast. 74, 75–91 (2015)CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Chelyabinsk State UniversityChelyabinskRussia

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