High‐Frequency Elastic Moduli of Simple Fluids

1965 ◽  
Vol 43 (12) ◽  
pp. 4464-4471 ◽  
Author(s):  
Robert Zwanzig ◽  
Raymond D. Mountain
1994 ◽  
Vol 100 (3) ◽  
pp. 2149-2153 ◽  
Author(s):  
D. M. Heyes ◽  
P. J. Aston

2009 ◽  
Vol 21 (1) ◽  
pp. 013105 ◽  
Author(s):  
Carlos Colosqui ◽  
Hudong Chen ◽  
Xiaowen Shan ◽  
I. Staroselsky ◽  
Victor Yakhot

1989 ◽  
Vol 177 ◽  
Author(s):  
Bruno D'Aguanno ◽  
Rudolf Klein ◽  
Norman J. Wagner

ABSTRACTPolydispersity in charge and in size of colloidal particles strongly influences the static light scattering < I(k) >. These effects are calculated by solving the Ornstein-Zernike integral equation together with the thermodynamically consistent Rogers-Young closure for a multicomponent mixture of up to 10 components. The results for < I(k) > for polydisperse systems show significant differences from results obtained by treating the system as an effective monodisperse one. For <I(k) > a large increase is found at small k as well as a shift in the main peak. Finally, using the above results, high-frequency elastic moduli are predicted for a binary mixture.


2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Sergey Khrapak ◽  
Nikita P. Kryuchkov ◽  
Lukiya A. Mistryukova ◽  
Stanislav O. Yurchenko

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
G. Bourkas ◽  
I. Prassianakis ◽  
V. Kytopoulos ◽  
E. Sideridis ◽  
C. Younis

The elastic constants of particulate composites are evaluated employing a theoretical cube-within-cube formation. Two new models of four and five components, respectively, formed by geometrical combination of three-component models existing in the literature, are used as Representative Volume Elements. Using the governing stress and strain equations of the proposed models, two new equations providing the static elastic and shear moduli of particulate composites are formulated. In order to obtain the dynamic elastic and shear moduli, the correspondence principle was applied successively to components connected in series and/or in parallel. The results estimated by the proposed models were compared with values evaluated from existing formulae in the literature, as well as with values obtained by tensile, dynamic, and ultrasonic experiments in epoxy/iron particulate composites. They were found to be close to values obtained by static and dynamic measurements and enough lower compared with values obtained from ultrasonic experiments. The latter is attributed to the high frequency of ultrasonics. Since measurements from ultrasonic's and from dynamic experiments depend on the frequency, the modulus of elasticity estimated by ultrasonic's is compared with that (storage modulus) estimated by dynamic experiments.


2009 ◽  
Vol 20 (2) ◽  
pp. 116-130 ◽  
Author(s):  
Christopher L. Barnes ◽  
Jean-François Trottier

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