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Non‐Linear Kinematics of Line‐Structures
Author(s) -
Günther H.
Publication year - 1982
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19824940207
Subject(s) - disclination , torsion (gastropod) , kinematics , dislocation , classical mechanics , line (geometry) , motion (physics) , interpretation (philosophy) , physics , theoretical physics , geometry , mathematics , condensed matter physics , computer science , medicine , liquid crystal , surgery , programming language
In a preceding paper [3] we have formulated a geometrical theory of structural defects for a very large classe of materials e. g. ordinary crystals, line structured materials as polymers and others. The application to a special kind of material requires a physical interpretation of the geometrical terms for this material. Referring to the papers of ANTHONY [1, 2], we give here a generalization of the geometrical theory of line structures, that is comprising a general internal motion of the material including the motion of defects. In order to do this the theory is to be formulated within anholonimic coordinates, here defined by the Frenets triads of the structural lines, being generally in motion. The geometrical terms for the current of the dislocation of the line structure, the current of the torsion of the lines (without defects) as well as the current of line disclination are explained.