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A new insight into the J ‐, M ‐, and L ‐integrals of dislocations
Author(s) -
Agiasofitou Eleni,
Lazar Markus
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800159
Subject(s) - isotropy , moment (physics) , physics , logarithm , interpretation (philosophy) , unit (ring theory) , enhanced data rates for gsm evolution , condensed matter physics , energy (signal processing) , geometry , mathematical analysis , mathematics , classical mechanics , quantum mechanics , telecommunications , mathematics education , computer science , programming language
The explicit formulas of the J ‐, M ‐, and L ‐integrals of straight (screw and edge) dislocations in isotropic materials are presented. The obtained results reveal the physical interpretation and significance of the M ‐, and L ‐integrals for straight dislocations. The M ‐integral between two straight dislocations (per unit length) is equal to half the interaction energy of the two dislocations (per unit length) depending on the distance and on the angle, plus twice the corresponding pre‐logarithmic energy factor. The L 3 ‐integral between two straight dislocations is the z ‐component of the configurational vector moment or the rotational moment (torque) about the z ‐axis caused by the interaction between the two dislocations.