Accession Number : AD0634489

Title :   POLYNOMIAL APPROXIMATIONS TO FUNCTIONALS IN THE THEORY OF MATERIALS WITH MEMORY.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Lew, John S.

Report Date : MAY 1966

Pagination or Media Count : 20

Abstract : For a material with memory, the functional phi which relates the stress to the strain history may sometimes be usefully approximated by a polynomial in the elements of a space L of linear functionals on the space F of strain histories. This paper extends an earlier result of Chacon and Rivlin (ZAMP, 15:444 (1964)) to prove such approximations possible on all bounded sets in the given topology for F, for all functionals phi uniformly continuous in the weak topology on F defined by L. (Author)

Descriptors :   (*SOLIDS, VISCOELASTICITY), (*POLYNOMIALS, FUNCTIONAL ANALYSIS), STRESSES, STRAIN(MECHANICS), MATERIALS, MATHEMATICAL ANALYSIS, FUNCTIONS(MATHEMATICS), CONTINUUM MECHANICS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE