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KIAM Preprint  31, Moscow, 2022
Authors: Zipunova E.V., Savenkov E.B.
Phenomenological derivation of the thermomechanical diffuse-interface model for electric breakdown
Abstract:
In this work we derive diffuse-interface type model for electric breakdown evolution in solid dielectrics which accounts for non-isothermal and mechanical effects. The proposed model consists of mass, momentum and energy conservation equation, Maxwells equations in quasi(electro)static approximation and Allen-Cahn type equation which describes phase-field evolution. The derivation of the model is based on the rational thermomechanics framework, M. Gurtins microforce and microstress theory and Coleman-Noll procedure.
Keywords:
diffuse interface models, phase field, order parameter, thermomechnocs, Godunov-Romensky model, electric breakdown
Publication language: russian,  pages: 36
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zipunova Elizaveta Vyacheslavovna,  orcid.org/0000-0001-7109-1702KIAM RAS
  • Savenkov Evgeny Borisovich,  orcid.org/0000-0003-3363-7043KIAM RAS