Geodesic
Thermodynamically consistent gradient elasticity with an internal variable
Theoretical and applied mechanics, Tome 47 (2020) no. 1, p. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The role of thermodynamics in continuum mechanics and the derivation of proper constitutive relations is a topic discussed in Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was very critical of the heuristic methods of irreversible thermodynamics. In this paper, a small strain gradient elasticity theory is constructed with memory effects and dissipation. The method is nonequilibrium thermodynamics with internal variables; therefore, the constitutive relations are compatible with thermodynamics by construction. The thermostatic Gibbs relation is introduced for elastic bodies with a single tensorial internal variable. The thermodynamic potentials are first-order weakly nonlocal, and the entropy production is calculated. The constitutive functions and the evolution equation of the internal variable are then constructed. The second law analysis has shown a contribution of gradient terms to the stress, also without dissipation.
DOI : 10.2298/TAM200204006V
Classification : 74A15, 74A60
Keywords: nonequilibrium thermodynamics, generalised continua, gradient elasticity 
Peter Ván. Thermodynamically consistent gradient elasticity with an internal variable. Theoretical and applied mechanics, Tome 47 (2020) no. 1, p. 1 . doi: 10.2298/TAM200204006V
@article{10_2298_TAM200204006V,
     author = {Peter V\'an},
     title = {Thermodynamically consistent gradient elasticity with an internal variable},
     journal = {Theoretical and applied mechanics},
     pages = {1 },
     year = {2020},
     volume = {47},
     number = {1},
     doi = {10.2298/TAM200204006V},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM200204006V/}
}
TY  - JOUR
AU  - Peter Ván
TI  - Thermodynamically consistent gradient elasticity with an internal variable
JO  - Theoretical and applied mechanics
PY  - 2020
SP  - 1 
VL  - 47
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM200204006V/
DO  - 10.2298/TAM200204006V
LA  - en
ID  - 10_2298_TAM200204006V
ER  - 
%0 Journal Article
%A Peter Ván
%T Thermodynamically consistent gradient elasticity with an internal variable
%J Theoretical and applied mechanics
%D 2020
%P 1 
%V 47
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM200204006V/
%R 10.2298/TAM200204006V
%G en
%F 10_2298_TAM200204006V

Cité par Sources :