A symbolic computation framework for constitutive modelling based on entropy principles

被引：3

作者：

Cheviakov, A. F. ^{[1
]}

Hess, J. ^{[2
]}

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK, Canada

[2] Tech Univ Darmstadt, Dept Fluid Dynam, Darmstadt, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 324卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Constitutive modelling; Entropy principle; Symbolic computations; CONSERVATION-LAWS; THERMODYNAMICS; EQUATIONS; MIXTURES; FLUIDS;

D O I：

10.1016/j.amc.2017.12.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The entropy principle in the formulation of Muller and Liu is a common tool used in constitutive modelling for the development of restrictions on the unknown constitutive functions describing material properties of various physical continua. In the current work, a symbolic software implementation of the Liu algorithm, based on Maple software and the GeM package, is presented. The computational framework is used to algorithmically perform technically demanding symbolic computations related to the entropy principle, to simplify and reduce Liu identities, and ultimately to derive explicit formulas describing classes of constitutive functions that do not violate the entropy principle. Detailed physical examples are presented and discussed. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：105 / 118

页数：14

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