ISSN:
1435-1536
Keywords:
Rheological constitutive equation
;
fractional derivatives
;
material functions
;
relaxation time spectra
;
retardation time spectra
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract A rheological constitutive equation for complex polymeric materials is derived starting from a special formulation of the relaxation function. This relaxation function contains six parameters and is divided into three regions: the plateau region, an intermediate power-law region and the terminal region of rapid stress decay. Material functions like the complex modulusG * and the logarithmic density function of the relaxation time spectrum H and of the retardation time spectrum L respectively are derived. Material parameters like the zero shear viscosityη 0 and the equilibrium shear complianceJ e are also calculated. The comparison of the measured dynamic moduli of H-shaped polystyrenes, associating terminally functionalized polyisoprenes and randomly associating polybutadienes with the theoretical predictions of the proposed phenomenological model shows an excellent agreement.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00664721
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