Accession Number : AD0761624

Title :   Some Restrictions on Constitutive Equations.

Descriptive Note : Technical rept.,

Corporate Author : LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s) : Rivlin,R. S.

Report Date : MAY 1973

Pagination or Media Count : 44

Abstract : LYSISIn the paper, the author discusses a number of inequalities which it has been suggested, by various authors, must be satisfied by the strain-energy function for an isotropic elastic material. These include the Coleman-Noll inequality, numerous inequalities proposed by Truesdell and Toupin, the Baker-Ericksen inequality and inequalities resulting from the retirement that all speeds of propagation of waves of infinitesimal amplitude, in the statically deformed material, be real. It is shown that there is no compelling reason why the Coleman-Noll inequality or the various inequalities of Truesdell and Toupin discussed in the present paper should be satisfied. Of course, they may be satisfied for particular materials. (Author)

Descriptors :   (*ELASTIC PROPERTIES, *INEQUALITIES), HEAT TRANSFER, DEFORMATION, CONTINUUM MECHANICS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE