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From Euclid's elements to cosserat continua

Povstenko J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2008

Vol. 13

33-42

The classical continuum theory is based on the assumption that each small particle behaves like a simple material point and ignores the relative motions of constituent parts of this particle. The development of the notion of a point and the development of non-Eeuclidean geometry is considered. The Cosserat continuum is an example of medium with microstructure, in which "a ponit" has an internal structure. Its motion is determined by the displacement and rotation fields.