
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) : Gurtin,M. E. ; Williams,W. O.
Report Date : JUN 1966
Pagination or Media Count : 26
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 ClausiusDuhen inequality. It is shown that elastic materials and a particular type of rate dependent materials fall into this class; the proof extends to quasielastic materials and quasiRivlinEricksen materials of all orders. Finally certain restriction which the ClausiusDuhen inequality places on the individual (stress, heat flux, entropy, etc.) Symmetry groups are established for an elastic material. (Author)
Descriptors : (*GROUPS(MATHEMATICS), (*CONTINUUM MECHANICS), THERMODYNAMICS, ELASTIC PROPERTIES, EQUATIONS OF STATE, INEQUALITIES
Subject Categories : Theoretical Mathematics
Mechanics
Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE