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Micromorphic balance equations in mass transport and mass production

Javadi, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijengsci.2020.103312
  3. Publisher: Elsevier Ltd , 2020
  4. Abstract:
  5. The balance equations for micromorphic materials with mass flux and mass production are determined based on the phenomenon of self-diffusion. In this study, the self-diffusive flux is the flux of mass of a single micromorphic species within itself which is captured by defining the relative macro-element spatial velocity vector and the relative micro-gyration tensor. By use of a binary micromorphic mixture theory, the self-diffusion of a single micromorphic species within itself results in an extra diffusive momentum field, an extra diffusive moment of momentum and their respective non-compliant terms. The concepts of the macro- and micro-mass flux are studied in the framework of the micromorphic theory. Furthermore, based on the Clausius-Duhem principle, admissible constitutive equations are presented for the diffusive and non-compliant quantities. © 2020 Elsevier Ltd
  6. Keywords:
  7. Growth ; Macro-mass flux ; Micro-mass flux ; Micromorphic theory ; Mixture theory ; Engineering ; Balance equations ; Diffusive flux ; Mass production ; Mixture theory ; Momentum fields ; Self-Diffusion ; Spatial velocity ; Constitutive equations
  8. Source: International Journal of Engineering Science ; Volume 153 , 2020
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0020722520301002