Accession Number:
AD0637520
Title:
ON THE INCLUSION OF THE COMPLETE SYMMETRY GROUP IN THE UNIMODULAR GROUP.
Descriptive Note:
Technical rept.
Corporate Author:
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s):
Report Date:
1966-06-01
Pagination or Media Count:
26.0
Abstract:
The complete symmetry of a group of a material is usually assumed to consist only of transformations which preserve the density of the material. In this paper it is shown that for a large class of materials this restriction is in fact a consequence of the Clausius-Duhen inequality. It is shown that elastic materials and a particular type of rate dependent materials fall into this class the proof extends to quasi-elastic materials and quasi-Rivlin-Ericksen materials of all orders. Finally certain restriction which the Clausius-Duhen inequality places on the individual stress, heat flux, entropy, etc. Symmetry groups are established for an elastic material. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics
- Mechanics
- Thermodynamics