For a one-dimensional two-phase elastic medium we construct an evolution of the phase interface boundary within the framework of quasistationary approximation. Bibliography: 4 titles.
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R. Abeyarante and J. K. Knowles, Evolution of Phase Transformation. A Continuum Theory, Cambrige Univ. Press, Cambridge (2006)
D. O. Volkova and A. B. Freidin, “Influence of exterior deformations and parameters of a material on kinetics of plane interphase boundaries” [in Russian], Vestnik St. Petersb. State Univ., Ser. 1 No. 2, 99–108 (2012).
V. G. Osmolovskii, “Temperatures of phase transitions and quasiconvex hull of energy functionals for a two-phase elastic medium with anisotropic residual strain tensor” [in Russian], Probl. Mat. Anal. 77, 119–128 (2014); English transl.: J. Math. Sci., New York 205, No. 2, 255–266 (2015).
O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical PHysics [in Russian]m Nauka, Moscow (1973); English transl.: Springer, Berlin etc. (1985).
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Translated from Problemy Matematicheskogo Analiza 82, September 2015, pp. 99-110.
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Osmolovskii, V.G. Quasistationary Phase Transition Problem in Two-Phase Media. One-Dimensional Case. The Zero Surface Stress Coefficient. J Math Sci 210, 664–676 (2015). https://doi.org/10.1007/s10958-015-2585-0
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DOI: https://doi.org/10.1007/s10958-015-2585-0