chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2017-18-3-363-376cheb-365Research ArticleСтатьиArticleПОДХОД ФАЗОВОГО ПОЛЯ К ВЗАИМОДЕЙСТВИЮ МЕЖДУ ФАЗОВЫМИ ПЕРЕХОДАМИ И ПЛАСТИЧНОСТЬЮ НА НАНОРАЗМЕРНОМ УРОВНЕ ПРИ БОЛЬШИХ ДЕФОРМАЦИЯХPHASE FIELD APPROACH TO INTERACTION BETWEEN PHASE TRANSFORMATIONS AND PLASTICITY AT THE NANOSCALE AT LARGE STRAINSЛевитасВ. И.LevitasV. I.ДжаванбакхтМ.JavanbakhtcM.

Department of Mechanical Engineering

Department of Mechanical Engineering

Isfahan University of TechnologyРоссияIsfahan University of TechnologyRussian Federation201708012018183363376Copyright © Левитас В.И., Джаванбакхт М., 20172017Левитас В.И., Джаванбакхт М.Levitas V.I., Javanbakhtc M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/365

В статье рассматривается современный подход теории фазового поля (ПТФП) к взаимодействию между фазовыми переходами (ФП) и дислокациями на наноразмерном уровне. Он разрабатывается при больших деформациях как нетривиальное сочетание нового прогрессивного подхода теории фазового поля с мартенситными фазовыми переходами и  эволюцией дислокаций. Выполняется моделирование на основе метода конечных элементов  (МКЭ) для решения совместных уравнений теории фазового поля и теории упругости.  Эволюция дислокаций и фазы высокого давления в наногранулированном материале, находящемся под действием давления и сдвига, изучается и используется для  интерпретации экспериментальных результатов по фазовым переходам, вызванным  пластической деформацией, под действием высокого давления в камере вращения алмазной наковальни.

In the paper, our recent phase field approach (PFA) to the interaction between phase transformations (PTs) and dislocations at the  nanoscale is reviewed. It is developed at large strains as a nontrivial  combination of our recent advanced PFAs to martensitic PTs and  dislocation evolution. Finite element method (FEM) simulations are  performed to solve the coupled phase-field and elasticity equations. The evolution of dislocations and high pressure phase in a nanograined material under pressure and shear is studied and utilized for  interpretation of experimental results on plastic strain induce PTs under high pressure in rotational diamond anvil cell.

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The authors declare that there are no conflicts of interest present.