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A Theory of Dislocation Dynamics with Internal Stresses
Author(s) -
Gradowczyk M. H.,
Rojas F. A.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220810228
Subject(s) - dislocation , infinitesimal strain theory , classical mechanics , cauchy stress tensor , constitutive equation , dislocation creep , tensor (intrinsic definition) , stress field , vector field , field (mathematics) , physics , stress (linguistics) , mechanics , geometry , mathematics , condensed matter physics , finite element method , thermodynamics , linguistics , philosophy , pure mathematics
The present theory completes a previous work by extending Kröner's concept of incompatibility of crystal deformation to dislocation sources. For a continuous distribution of moving dislocations, differential equations are derived that describe crystal flow in terms of the total stress tensor, particle velocity vector, flux‐density vector, a plastic strain tensor produced by the dislocations created by dislocation sources, and the necessary constitutive equations. This new theory allows for the explicit computation of the internal stress field produced by the motion and creation of dislocation fields when some additional assumptions are introduced.