Dual internal variables

Arkadi Berezovski, P. Ván

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

It is shown how dual weakly non-local internal variables and extra entropy fluxes can be introduced in the framework of canonical thermomechanics on the material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.

Original languageEnglish
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Pages59-72
Number of pages14
DOIs
Publication statusPublished - Jan 1 2017

Publication series

NameSolid Mechanics and its Applications
Volume243
ISSN (Print)0925-0042

Fingerprint

Entropy
Thermodynamics
Fluxes

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Berezovski, A., & Ván, P. (2017). Dual internal variables. In Solid Mechanics and its Applications (pp. 59-72). (Solid Mechanics and its Applications; Vol. 243). Springer Verlag. https://doi.org/10.1007/978-3-319-56934-5_4

Dual internal variables. / Berezovski, Arkadi; Ván, P.

Solid Mechanics and its Applications. Springer Verlag, 2017. p. 59-72 (Solid Mechanics and its Applications; Vol. 243).

Research output: Chapter in Book/Report/Conference proceedingChapter

Berezovski, A & Ván, P 2017, Dual internal variables. in Solid Mechanics and its Applications. Solid Mechanics and its Applications, vol. 243, Springer Verlag, pp. 59-72. https://doi.org/10.1007/978-3-319-56934-5_4
Berezovski A, Ván P. Dual internal variables. In Solid Mechanics and its Applications. Springer Verlag. 2017. p. 59-72. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-3-319-56934-5_4
Berezovski, Arkadi ; Ván, P. / Dual internal variables. Solid Mechanics and its Applications. Springer Verlag, 2017. pp. 59-72 (Solid Mechanics and its Applications).
@inbook{8e858a9695e6415896320aba10c88b49,
title = "Dual internal variables",
abstract = "It is shown how dual weakly non-local internal variables and extra entropy fluxes can be introduced in the framework of canonical thermomechanics on the material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.",
author = "Arkadi Berezovski and P. V{\'a}n",
year = "2017",
month = "1",
day = "1",
doi = "10.1007/978-3-319-56934-5_4",
language = "English",
series = "Solid Mechanics and its Applications",
publisher = "Springer Verlag",
pages = "59--72",
booktitle = "Solid Mechanics and its Applications",

}

TY - CHAP

T1 - Dual internal variables

AU - Berezovski, Arkadi

AU - Ván, P.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - It is shown how dual weakly non-local internal variables and extra entropy fluxes can be introduced in the framework of canonical thermomechanics on the material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.

AB - It is shown how dual weakly non-local internal variables and extra entropy fluxes can be introduced in the framework of canonical thermomechanics on the material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.

UR - http://www.scopus.com/inward/record.url?scp=85019142332&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019142332&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-56934-5_4

DO - 10.1007/978-3-319-56934-5_4

M3 - Chapter

AN - SCOPUS:85019142332

T3 - Solid Mechanics and its Applications

SP - 59

EP - 72

BT - Solid Mechanics and its Applications

PB - Springer Verlag

ER -