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K. Morman (1988)
An adaptation of finite linear viscoelasticity theory for rubber-like viscoelasticity by use of a generalized strain measureRheologica Acta, 27
(1961)
Foundation of linear viscoelasticity
B. Coleman, W. Noll (1961)
Foundations of Linear ViscoelasticityReviews of Modern Physics, 33
J. Sullivan (1983)
Viscoelastic properties of a gum vulcanizate at large static deformationsJournal of Applied Polymer Science, 28
W. Goldberg, G. Lianis (1968)
Behavior of Viscoelastic Media Under Small Sinusoidal Oscillations Superposed on Finite StrainJournal of Applied Mechanics, 35
P. Dehoff, G. Lianis, W. Goldberg (1966)
An Experimental Program for Finite Linear Viscoelasticity, 10
L. Treloar, Clarendon PRESS•OXFORD (1949)
The physics of rubber elasticity
P. Freakley, A. Payne, A. Davey (1978)
Theory and practice of engineering with rubber
J. Sullivan, K. Morman, R. Pett (1980)
A Non-Linear Viscoelastic Characterization of a Natural Rubber Gum VulcanizateRubber Chemistry and Technology, 53
J. Sullivan (1987)
A Nonlinear Viscoelastic Model for Representing Nonfactorizable Time‐Dependent Behavior in Cured RubberJournal of Rheology, 31
J. Sullivan, V. Démery (1982)
The non-linear viscoelastic behavior of a carbon-black filled elastomerJournal of Polymer Science Part B, 21
F. Lockett (1972)
Nonlinear viscoelastic solids
In this paper, a procedure to estimate complex modulus of incompressibleviscoelastic materials from stiffness measurements as functions offrequency under heavy compressive pre-strain is presented together withsome results for a typical viscoelastic material. Two existing methodsare discussed which enable predictions of the complex modulus based onthe measurements as functions of frequency and pre-strain. A new moreefficient formula is proposed which obtains the modulus by combining thefrequency effects at a reference pre-strain and the pre-strain effectsat a chosen frequency, i.e., dynamic effects. This formula reflects thetrend of dynamic modulus with the static compression under theassumption that the relaxation function is dependent on the staticcompression. The relaxation function can be transformed into frequency-dependent functions, which are modified to represent the pre-strain effect at a chosen frequency. Dynamic properties of a viscoelastic material were obtained at agiven strain amplitude from 1 to 180 Hz under nine levels of compressivepre-strain and performances of the formulas are comparatively discussed.
Mechanics of Time-Dependent Materials – Springer Journals
Published: Sep 1, 2001
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