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Remark on Groups and Internal Structure in Continuum Mechanics
Author(s) -
Günther H.
Publication year - 1983
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.19834950414
Subject(s) - physics , classical mechanics , inertia , lorentz group , group (periodic table) , lorentz transformation , continuum mechanics , motion (physics) , lorentz force , galilean , mechanics , quantum mechanics , magnetic field
Any mechanical motion within a solid is subjected to the group of external motion (Galilean group or if necessary for relativistic mechanics the Lorentz group) and to the internal „quasi Lorentz” group l q being independent of the external one. Since the effect of the external group always may be simulated by a system of external forces, any internal property is subjected to l q (e.g. quasi masses of defects). The principle of minimal coupling explicitely used in 1969 by K LUGE for mechanical defects within a solid, being extended in 1983 by K ADIC and E DELEN by the help of Yang‐Mills‐theory for introducing phenomenological terms of inertia for mechanical defects, is leading to the relation with the field theoretical masses for defects as in electrodynamics.