On the thermodynamics of thermoelastic materials with additional scalar degrees of freedom
On the thermodynamics of thermoelastic materials with additional scalar degrees of freedom
复制标题
具有附加标量自由度的热弹性材料的热力学
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
B. Svendsen
中科院分区：
文献类型：
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作者：
B. Svendsen
这项工作涉及一类包含微观结构的材料模型的热力学公式，这些微观结构相对于（整体）大块材料演变或变化。这里采用的方法是基于总能量、总能量通量和总能量供应的概化，以考虑所涉及的相应的附加自由度。为简单起见，将注意力限制在具有标量值自由度的热弹性材料上，在<s:1> ller- liu熵原理的背景下，获得了这类材料的剩余平衡的热力学一致形式和相应的本构关系。特别是，以这种方式获得的附加标量值自由度的演化关系的热力学一致形式部分包含了许多先前工作中建立的众所周知的广义欧拉-拉格朗日或金兹堡-朗道关系，其余的项考虑与微惯性或非平衡过程相关的影响。
This work deals with the thermodynamic formulation of a model for a class of materials containing microstructure which evolves or changes relative to\/ the (global) bulk material. The approach taken here is based on a generalization of the total energy, total energy flux, and total energy supply to take into account the corresponding additional degrees of freedom involved. Restricting attention for simplicity to thermoelastic materials with scalar-valued such degrees of freedom, the thermodynamically-consistent forms of the remaining balance and corresponding constitutive relations for this material class are obtained in the context of the Müller-Liu entropy principle. In particular, the thermodynamically-consistent form of the evolution relation for the additional scalar-valued degrees of freedom obtained in this fashion contains in part\/ the well-known generalized Euler-Lagrange or Ginzburg-Landau relations established in many previous work, with the remaining terms accounting for effects associated with microinertia, or with non-equilibrium processes.