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KIAM Preprint  40, Moscow, 2022
Authors: Alekseev M.V., Savenkov E.B.
Two-phase hyperelastic model. Scalar case
The work is devoted to the phenomenological derivation of the multivelocity multifluid model to describe dynamics of the multiphase medium with hyperelastic phase behavior using the Coleman-Noll procedure. The proposed model can be considered as a generalization of the Baer and Nunziato type multiphase models with isotropic stress tensor. The paper presents the well-known particular cases to which the obtained multiphase model can be reduced. The resulting model is completely non-equilibrium, and the joint deformation of the phases is described by a single scalar parameter, which is the volume fraction of the phases.
hyperelasticity, Baer-Nunziato model, Coleman-Noll procedure, Godunov-Romenskii model, multiphase models
Publication language: russian,  pages: 63
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Alekseev Mikhail Vladislavovich, RAS
  • Savenkov Evgeny Borisovich, RAS