Irreversible mechanics and thermodynamics of two-phase continua experiencing stress-induced solid–fluid transitions

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• 作者：Ilya Peshkov ; Miroslav Grmela ; Evgeniy Romenski
• 关键词：Yield stress fluids ; Viscoplastic fluids ; Elastic and plastic deformations ; Conservation laws ; Finite ; volume method
• 刊名：Continuum Mechanics and Thermodynamics
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：27
• 期：6
• 页码：905-940
• 全文大小：1,655 KB
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• 作者单位：Ilya Peshkov (1)
  Miroslav Grmela (1)
  Evgeniy Romenski (2)
  
  1. Ecole Polytechnique de Montreal, Montreal, Canada
  2. Sobolev Institute of Mathematics, Novosibirsk, Russia
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Engineering Thermodynamics and Transport Phenomena
  Mechanics, Fluids and Thermodynamics
  Structural Materials
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0959

文摘

On the example of two-phase continua experiencing stress-induced solid–fluid phase transitions, we explore the use of the Euler structure in the formulation of the governing equations. The Euler structure guarantees that solutions of the time evolution equations possessing it are compatible with mechanics and with thermodynamics. The former compatibility means that the equations are local conservation laws of the Godunov type, and the latter compatibility means that the entropy does not decrease during the time evolution. In numerical illustrations, in which the one-dimensional Riemann problem is explored, we require that the Euler structure is also preserved in the discretization. Keywords Yield stress fluids Viscoplastic fluids Elastic and plastic deformations Conservation laws Finite-volume method