Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction
Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction
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DOI：
10.1007/s00161-014-0406-1
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发表时间：
2016-05-01
影响因子：
2.6
通讯作者：
Tsakmakis, Ch.
中科院分区：
文献类型：
--
作者：
Alber, H. -D.;Hutter, K.;Tsakmakis, Ch.
我们提出了一个连续统系统的现象学热力学框架，该系统的响应可能是非局部空间的，并且对于短时间尺度可能是重要的。空间上的非定域性是由梯度型状态变量产生的，而时间上的非定域性可以建模，例如，假设热流矢量的速率进入热传导定律。其中心思想是在经典定律之外，通过假设更多的能量平衡定律来重申系统的能量收支。这使得所提出的理论可以处理非平衡状态变量，这在传统热力学第二定律中被排除在外。通过讨论微极不定偶、应力弹性和热传导理论，说明了该方法的主要特点。
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.