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Splitting Method for the Variational Phase Transition Problem in Two-Phase Continuum Media

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For the multi-dimensional variational phase transition problem of continuum mechanics we propose a method for splitting the problem into two parts one of which is used to find a candidate for the volume fraction of one of the phases in the equilibrium state, whereas the other is used to find the corresponding equilibrium displacement field and equilibrium phase distribution.

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Authors and Affiliations

  1. St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia

    V. G. Osmolovskii

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  1. V. G. Osmolovskii
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Correspondence to V. G. Osmolovskii.

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Translated from Problemy Matematicheskogo Analiza 126, 2024, pp. 39-50.

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Osmolovskii, V.G. Splitting Method for the Variational Phase Transition Problem in Two-Phase Continuum Media. J Math Sci 279, 493–507 (2024). https://doi.org/10.1007/s10958-024-07028-w

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  • DOI: https://doi.org/10.1007/s10958-024-07028-w

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