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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2018, Volume 22, Number 3, Pages 407–429
DOI: https://doi.org/10.14498/vsgtu1626
(Mi vsgtu1626)
 

This article is cited in 1 scientific paper (total in 2 paper)

Mechanics of Solids

Modeling of phase transformations and superelastic hardening of unstable materials

E. A. Ilyina, L. A. Saraev

Samara National Research University, Samara, 443086, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The article presents models of superelastic hardening of materials with unstable phase structure at a constant temperature. The kinetic equation of the process of formation and growth of spherical nuclei of a new phase is formulated depending on the level of development of inelastic structural deformations, according to which the new phase first represents separate inclusions from embryos, developing it forms the structures of the matrix mixture in the form of interpenetrating skeletons, and finally the new phase is transformed in a matrix with separate inclusions from the material of the remains of the old phase. The influence of structural deformations on the features of phase transformations and nonlinear hardening of inhomogeneous unstable materials with different degree of connectivity of the constituent phases is studied. Various variants of the microstructure material formed in the conditions of the phase transition in the form of separate inclusions and in the form of interpenetrating components are considered. New macroscopic determining relationships for unstable microinhomogeneous materials are established and their effective elastic moduli are calculated. Macroscopic conditions of direct and inverse phase transitions are obtained, their effective limits and hardening coefficients are calculated. It is shown that the values of the macroscopic elasticity moduli of the obtained models lie inside the fork of the lower and upper Hashin-Shtrikman boundaries. Numerical analysis of the developed models has shown good agreement with known experimental data.
Keywords: phases, macroscopic properties, elastic moduli, statistical homogeneity, structure, structural deformations, phase transition, ergodicity, effective relations.
Received: May 13, 2018
Revised: August 21, 2018
Accepted: September 3, 2018
First online: September 9, 2018
Bibliographic databases:
Document Type: Article
UDC: 539.4.015.1:539.3
MSC: 74A60, 74A40, 74A05
Language: Russian
Citation: E. A. Ilyina, L. A. Saraev, “Modeling of phase transformations and superelastic hardening of unstable materials”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:3 (2018), 407–429
Citation in format AMSBIB
\Bibitem{IlySar18}
\by E.~A.~Ilyina, L.~A.~Saraev
\paper Modeling of phase transformations and superelastic hardening of unstable materials
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2018
\vol 22
\issue 3
\pages 407--429
\mathnet{http://mi.mathnet.ru/vsgtu1626}
\crossref{https://doi.org/10.14498/vsgtu1626}
\elib{https://elibrary.ru/item.asp?id=36497371}
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  • https://www.mathnet.ru/eng/vsgtu1626
  • https://www.mathnet.ru/eng/vsgtu/v222/i3/p407
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:423
    Full-text PDF :370
    References:47
     
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