Accession Number : AD0479807

Title :   A UNIQUENESS THEOREM FOR AGING VISCOELASTIC BODIES.

Descriptive Note : Interim technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB

Personal Author(s) : Lubliner, J. ; Sackman, J. L.

Report Date : DEC 1965

Pagination or Media Count : 19

Abstract : On the basis of two theorems pertaining to the asymptotic behavior of certain Laplace transforms, the uniqueness of the displacement field in a general linear viscoelastic body (i.e., one with time-variable properties) throughout a time interval is demonstrated, provided the instantaneous elasticity tensor (or, in the case of a generalized Kelvin-Voigt material, the instantaneous viscosity tensor) is positive definite and a continuous function of time, and provided the following information is specified: the displacement field, to within a rigid-body motion, throughout the body and at all times before the given interval; the displacement and velocity fields throughout the body at the beginning of the interval (initial conditions); the body force throughout the body and throughout the interval; and, at each point of the boundary, in each of three orthogonal directions, a component of the traction or of the displacement throughout the time interval. If inertia is neglected, the initial conditions may be dispensed with, but the displacement field is unique only to within a rigid-body motion. (Author)

Descriptors :   *AGING(MATERIALS)), (*VISCOELASTICITY, THEOREMS, INTEGRAL TRANSFORMS, INERTIA, TENSOR ANALYSIS, VELOCITY, TIME, MOTION, SERIES(MATHEMATICS), VISCOSITY, LINEAR SYSTEMS, STRESSES, ELASTIC PROPERTIES, DEFORMATION, VECTOR ANALYSIS, ANISOTROPY.

Subject Categories : Mfg & Industrial Eng & Control of Product Sys
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE