Russian Metallurgy (Metally)

, Volume 2018, Issue 8, pp 737–741 | Cite as

Boundary Integral Equation Study of the Growth of a Dendritic Elliptic Paraboloid Crystal

  • E. A. Titova
  • D. V. AlexandrovEmail author
  • P. K. Galenko


The free growth of a dendrite crystal in the form of an elliptic paraboloid from a melt is analyzed. The exact solution of the problem is shown to coincide with the well-known Harvey–Cahn solution in the absence of anisotropy and the Gibbs–Thomson effect. A criterion for the stable growth of an elliptic paraboloid dendrite is formulated.


dendritic growth solidification 



This work was supported by the Russian Science Foundation, project no. 16-11-10095.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • E. A. Titova
    • 1
  • D. V. Alexandrov
    • 1
    Email author
  • P. K. Galenko
    • 1
  1. 1.Ural Federal UniversityYekaterinburgRussia

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