Geodesic
Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
Theoretical and applied mechanics, Tome 39 (2012) no. 1, p. 55

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

Zbl
The Hamilton-Eshelby stress is a basic ingredient in the description of the evolution of point, lines and bulk defects in solids. The link between the Hamilton-Eshelby stress and the derivative of the free energy with respect to the material metric in the plasticized intermediate configuration, in large strain regime, is shown here. The result is a modified version of Rosenfeld-Belinfante theorem in classical field theories. The origin of the appearance of the Hamilton-Eshelby stress (the non-inertial part of the energy-momentum tensor) in dissipative setting is also discussed by means of the concept of relative power.
DOI : 10.2298/TAM1201055M
Classification : 74C20 70S99
Keywords: Plasticity, finite deformations, classical field theories 
Paolo Maria Mariano. Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration. Theoretical and applied mechanics, Tome 39 (2012) no. 1, p. 55 . doi: 10.2298/TAM1201055M
@article{10_2298_TAM1201055M,
     author = {Paolo Maria Mariano},
     title = {Crystal plasticity: {The} {Hamilton-Eshelby} stress in terms of the metric in the intermediate configuration},
     journal = {Theoretical and applied mechanics},
     pages = {55 },
     year = {2012},
     volume = {39},
     number = {1},
     doi = {10.2298/TAM1201055M},
     zbl = {1299.74031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1201055M/}
}
TY  - JOUR
AU  - Paolo Maria Mariano
TI  - Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
JO  - Theoretical and applied mechanics
PY  - 2012
SP  - 55 
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM1201055M/
DO  - 10.2298/TAM1201055M
LA  - en
ID  - 10_2298_TAM1201055M
ER  - 
%0 Journal Article
%A Paolo Maria Mariano
%T Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration
%J Theoretical and applied mechanics
%D 2012
%P 55 
%V 39
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM1201055M/
%R 10.2298/TAM1201055M
%G en
%F 10_2298_TAM1201055M

Cité par Sources :