Termodinâmica Estendida para Materiais Viscoelásticos com Condução de Calor

Authors

  • Aldo Vignatti UFES

DOI:

https://doi.org/10.5540/tema.2012.013.01.0025

Abstract

Termodinâmica estendida é uma teoria fenomenológica com o objetivo principal de determinar os campos de deformação, temperatura, tensão e fluxo de calor. As equações da termodinâmica estendida consistem das leis usuais de conservação de massa, momento e energia e um conjunto de equações de balanço adicionais, e tem sido aplicadas para a formulação de termodinâmica estendida de fluidos bem como sólidos viscoelásticos. Aqui será formulada uma teoria similar para materiais viscoelásticos com condução de calor.

Author Biography

Aldo Vignatti, UFES

Departamanto de Ciências Matemáticas e Naturais/CEUNES/UFES

References

G.M. Kremer, Extended thermodynamics of ideal gases with 14 fields, Ann. Inst. Henri Poincaré, 45 (1986), 419–440.

G.M. Kremer, Extended thermodynamics of non-ideal gases, Physica, 144A (1987), 156–178.

G.M. Kremer, Extended thermodynamics of molecular ideal gases, Continuum Mech. Thermodyn., 1 (1989), 21–45.

G.M. Kremer, C. Beevers, Extended thermodynamics of dense gases, Lecture Note in Physics, 199 (1984), 429–436.

I-Shih Liu, Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rational Mech. Anal., 46 (1972), 131–148.

I-Shih Liu, An extended field theory of viscoelastic materials, Int. J. Engng. Sci., 26 (1988), 331–342.

I-Shih Liu, Extended thermodynamics of viscoelastic materials, Continuum Mech. Thermodyn, 1 (1989), 143–164.

I-ShihLiu, Extended thermodynamics of viscoelasticity, Proceedings of the 5th Bilateral Polish-Italian Meeting, Thermodynamics and kinetic theory. World Scientific Publishing, Singapore, (1990) 93–106 .

I-Shih Liu, “Continuum Mechanics”, Springer-Verlag Berlin Heidelberg New York (2002).

I-Shih Liu, G.M. Kremer, Hyperbolic system of field equations for viscous fluids, Mat. Aplic. Comp., 9 (1990), 123–135.

I-Shih Liu, I. Müller, Extended thermodynamics of classical and degenerate gases, Arch. Rational Mech. Anal., 83 (1983), 285–332.

I. Müller, T. Ruggeri, “Rational Extended Thermodynamics”, Second Edition, Springer-Verlag, New York (1998).

A. Vignatti, I-Shih Liu, Termodinâmica estendida de fluidos viscosos com condução de calor, TEMA, SBMAC, numero 2 (2006), 381–390.

R. Resnick, D. Halliday, “Física”, v2 4a ed., Livros Técnicos e Científicos Editora S.A. (1984).

T. Ruggeri, Galilean invariance and entropy principle for systems of balance laws, Continuum Mech. Thermodyn., 1 (1989), 3–20.

Downloads

Additional Files

Published

2012-03-17

How to Cite

Vignatti, A. (2012). Termodinâmica Estendida para Materiais Viscoelásticos com Condução de Calor. Trends in Computational and Applied Mathematics, 13(1), 25–36. https://doi.org/10.5540/tema.2012.013.01.0025

Issue

Vol. 13 No. 1 (2012)

Section

Original Article

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.