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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

Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration