纤维悬浮物本构函数的热力学限制

IF 0.6 Q3 MULTIDISCIPLINARY SCIENCES

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali Pub Date : 2019-05-06 DOI:10.1478/AAPP.971A4

C. Papenfuss

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引用次数: 0

摘要

用热力学方法研究了纤维悬浮液的本构特性。纤维取向、取向变化速度和取向梯度被认为是本构函数的相关变量，并利用I-S引入的方法利用耗散不等式形式的热力学第二定律。刘[《建筑大鼠力学分析》第46131期（1972）]。对本构函数的限制表明，纤维悬浮液是一个具有非消失耦合应力的微极连续体。此外，还证明了熵通量是热通量随温度变化的经典关系仅在自由能密度不依赖于取向变化速度的特殊情况下成立，否则存在额外的熵通量。

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Thermodynamic restrictions on constitutive functions for fiber suspensions

The constitutive properties of fiber suspensions are investigated with the methods of thermodynamics. Fiber orientation, orientation change velocity and gradient of orientation are considered as relevant variables for the constitutive functions, and the Second Law of Thermodynamics in the form of the dissipation inequality is exploited by a method introduced by I-S. Liu [Arch. Rat. Mech. Analysis 46 , 131 (1972)]. The restrictions on the constitutive functions show, that the fiber suspension is a micropolar continuum with non-vanishing couple stresses. In addition it is shown that the classical relation of entropy flux being heat flux over temperature holds only in the special case that the free energy density does not depend on the orientation change velocity, otherwise there exists an extra entropy flux.

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来源期刊

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali MULTIDISCIPLINARY SCIENCES-

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

31 weeks

期刊介绍： This journal is of a multi- and inter-disciplinary nature and covers a broad range of fields including mathematics, computer science, physics, chemistry, biology, earth sciences, and their intersection. History of science is also included within the topics addressed by the journal. The transactions of the Pelorian Academy started out as periodic news sheets containing the notes presented by the members of the Divisions into which the Academy has been and still is organized, according to subject areas. The publication of these notes for the Division (“Classe”) of Mathematical, Physical and Natural Sciences is the responsibility of the Editorial Committee, which is composed of the Director of the division with the role of Chairman, the Vice-Director, the Secretary and two or more other members. Besides original research articles, the journal also accepts texts from conferences and invited talks held in the Academy. These contributions are published in a different section of the journal. In addition to the regular issues, single monographic supplements are occasionally published which assemble reports and communications presented at congresses, symposia, seminars, study meetings and other scientific events organized by the Academy or under its patronage. Since 2004 these transactions have been published online in the form of an open access electronic journal.