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Modeling nonlinear viscoelastic response
Author(s) -
Partom Y.,
Schanin I.
Publication year - 1983
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760231511
Subject(s) - viscoelasticity , nonlinear system , creep , representation (politics) , diagram , materials science , calibration , flow (mathematics) , mechanics , tension (geology) , experimental data , simple (philosophy) , mathematical analysis , physics , mathematics , composite material , philosophy , statistics , epistemology , quantum mechanics , politics , political science , law , ultimate tensile strength
We present a model for calculating nonlinear viscoelastic response which we call the “phases model” (PHM). In terms of a mechanical model representation the PHM is a generalized Maxwell model with nonlinear elements where each Maxwell element is referred to as a phase. The viscous material properties are represented in the model in terms of flow curves of the individual phases. The collection of flow curves form the flow diagram. We show how to calibrate the flow diagram from a family of constant rate test curves by means of a simple straightforward procedure. We give an example of such a calibration for a certain rigid polyurethane. We applied our model to the calculation of nonlinear viscoelastic response to varius loading programs in uniaxial tension, and to the creep of a simply supported beam, and obtained good agreement with experimental data.