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

Paolo Maria Mariano | Zendy

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

Author(s) -

Paolo Maria Mariano

Publication year - 2012

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1201055m

Subject(s) - dissipative system , cauchy stress tensor , stress (linguistics) , plasticity , tensor (intrinsic definition) , physics , stress field , stress–energy tensor , classical mechanics , mathematics , mathematical analysis , geometry , thermodynamics , exact solutions in general relativity , linguistics , philosophy , finite element method

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

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