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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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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/}
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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

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