Accession Number : AD0439647

Title :   ON THE EQUIVALENCE OF POLYNOMIAL AND FUNCTIONAL FORMS OF CONSTITUTIVE EQUATIONS FOR A CLASS OF LARGE DEFORMATIONS,

Corporate Author : LOCKHEED PROPULSION CO REDLANDS CALIF

Personal Author(s) : Valanis,K. C.

Report Date : NOV 1963

Pagination or Media Count : 31

Abstract : The special class of small, time-dependent deformations superposed on large static deformations is considered. For this particular class, it is shown that the constitutive relations obtained from a particular polynomial formulation are as general as the ones obtained by Lianis who made use of Coleman and Noll's functional formulation. It is also shown that more restricted relations may be obtained by reducing the generality of the form of the polynomials. In particular, a class of materials is postulated, the viscoelastic nature of which can be described by two relaxation functions as opposed to twelve relaxation functions which are necessary for the more genera solids. It is also shown that an even more restricted class of materials can exist where one relaxation function suffices to define the viscoelastic behavior of the solid. (Author)

Descriptors :   (*POLYNOMIALS, FUNCTIONS(MATHEMATICS)), (*DEFORMATION, MATHEMATICAL ANALYSIS), STRESSES, ELASTIC PROPERTIES, VISCOSITY, RELAXATION TIME, VISCOELASTICITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE