Premium
On the Metric and Non‐metric Spaces for the Mechanics of Generalized Continua
Author(s) -
Günther Helmut,
Minagawa Sitiro
Publication year - 1981
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.19814930605
Subject(s) - lemma (botany) , metric (unit) , physics , theoretical physics , continuum mechanics , classical mechanics , mathematics , ecology , operations management , poaceae , economics , biology
Abstract The paper is concerned with the description of structural defects of a mechanicof continuum in terms of geometry. It depends on the spacing of defects relatively to the spacing m the underlying discrete physical structure, if defects may be described separately by the continuup. picture; otherwise a microdistribution of defects is arising. It is shown, how the microrotations resni microdeformations of a micropolar resp. multipolar continuum give a phenomenological description for a remaining microdistribution of defects. Geometrically this is described by the Lemma of Riccl resp. the violation of this lemma.