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KIAM Preprint  40, Moscow, 2022
Authors: Alekseev M.V., Savenkov E.B.
Two-phase hyperelastic model. Scalar case
Abstract:
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.
Keywords:
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
Russian source text:
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About authors:
  • Alekseev Mikhail Vladislavovich,  orcid.org/0000-0003-0231-6095KIAM RAS
  • Savenkov Evgeny Borisovich,  orcid.org/0000-0003-3363-7043KIAM RAS