On the use of a spectrum-based model for linear viscoelastic materials

A new spectrum-based model for describing the behavior of time-dependent materials is presented. In this paper, unlike most prior modeling techniques, the time-dependent response of viscoelastic materials is not expressed through the use of series. Instead, certain criteria have been imposed to sele...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics of time-dependent materials 2006-09, Vol.10 (3), p.215-228
Main Author: SULLIVAN, R. W
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Creep
Creep (materials)
Exact sciences and technology
Exact solutions
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Integral equations
Laplace transforms
Material properties
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Modulus of elasticity
Physics
Poisson's ratio
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Tensile tests
Time dependence
Viscoelastic materials
Viscoelasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new spectrum-based model for describing the behavior of time-dependent materials is presented. In this paper, unlike most prior modeling techniques, the time-dependent response of viscoelastic materials is not expressed through the use of series. Instead, certain criteria have been imposed to select a spectrum function that has the potential of describing a wide range of material behavior. Another consequence of choosing the spectrum function of the type used in this paper is to have a few closed form analytic solutions in the theory of linear viscoelasticity. The Laplace transform technique is used to obtain the necessary formulae for viscoelastic Lame' functions, relaxation and bulk moduli, creep bulk and shear compliance, as well as Poisson's ratio. By using the Elastic–Viscoelastic Correspondence Principle (EVCP), material constants appearing in the proposed model are obtained by comparing the experimental data with the solution of the integral equation for a simple tensile test. The resulting viscoelastic functions describe the material properties which can then be used to express the behavior of a material in other loading configurations. The model's potential is demonstrated and its limitations are discussed.
ISSN:1385-2000
1573-2738
DOI:10.1007/s11043-006-9019-9