Computational Protocols for Viscoelastic Material Property Characterizations without the Use of Poisson's Ratios

摘要

The objective of this work is to present the numerical implementation for the alternative determination of vis-coelastic material properties without using Poisson's ratios as presented in [1] – [3]. The presented method is based on the 3–D generalized constitutive relations viscoelastic materials with hereditary integrals. The numerical procedures are based on experiments using photogrammetric and tensile testing instrumentation, which provide stress data in the 1–D loaded direction and strains in both longitudinal (loaded) and transverse directions. Measurements and data analyses in-clude both starting transient and steady-state loading conditions. The paper presents the implementation of solutions for the linear case, where the relaxation time values are prescribed according to to the scheme presented in [1] and [3]. Con-vergence of the Prony series representations is evaluated.