Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction

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• 作者：H.-D. Alber ; K. Hutter ; Ch. Tsakmakis
• 刊名：Continuum Mechanics and Thermodynamics
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：28
• 期：3
• 页码：699-719
• 全文大小：609 KB
• 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
• 卷排序：28

文摘

We present a phenomenological thermodynamic framework for continuum systems exhibiting responses which may be nonlocal in space and for which short time scales may be important. Nonlocality in space is engendered by state variables of gradient type, while nonlocalities over time can be modelled, e.g. by assuming the rate of the heat flux vector to enter into the heat conduction law. The central idea is to restate the energy budget of the system by postulating further balance laws of energy, besides the classical one. This allows for the proposed theory to deal with nonequilibrium state variables, which are excluded by the second law in conventional thermodynamics. The main features of our approach are explained by discussing micropolar indeterminate couple stress elasticity and heat conduction theories.KeywordsNonconventional thermodynamicsSecond lawNonlocalities in spaceCouple stress elasticityHeat conductionMicropolar