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Linear viscoelastic behavior of the Hookean dumbbell with internal viscosity

โœ Scribed by Chi C. Hua; Jay D. Schieber; Charles W. Manke

Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
769 KB
Volume
35
Category
Article
ISSN
0035-4511

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โœฆ Synopsis

The linear viscoelastic modulus G(t) predicted by the analytical formulations of Schieber (1993), Wedgewood (1993), Dasbach et al. (1992), and Booij and van Wiechen (1970) for the free-draining Hookean dumbbell with internal viscosity (IV) are compared with exact analytical results and exact numerical results obtained from Brownian dynamics simulations. All of these analytical formulations employ the Booij and van Wiechen expression for the IV force, thereby eliminating errors associated with linearization of the "deformational" velocity, however the theories differ in the approximations employed to solve configuration moment equations. Comparison with the exact G(t) results provides a means of testing these approximations. The approximate theories all correctly predict the singular part of G(t) at t = 0, providing correct predictions of r/', however deviations from the exact G(t) are seen in all cases for t>0.

๐Ÿ“œ SIMILAR VOLUMES

On the propagation of linear transverse
On the propagation of linear transverse acoustic waves in isotropic media with mechanical relaxation phenomena due to viscosity and a tensorial internal variable: I. General formalism
โœ G.A. Kluitenberg; E. Turrisi; V. Ciancio ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 380 KB

In this paper we consider the propagation of linear transverse acoustic waves in isotropic media in which mechanical relaxation phenomena occur. It is assumed that the irreversible mechanical processes in the medium are due to viscosity and to changes in a tensorial internal variable and that these