A theoretical model for studying the nonlinear viscoelastic response of an active fluid undergoing oscillatory shear

2021 ◽  
Vol 33 (9) ◽  
pp. 091903
Author(s):  
Sara Malvar ◽  
Francisco Ricardo Cunha
Keyword(s):  
Theoretical Model ◽  
Oscillatory Shear ◽  
Viscoelastic Response ◽  
Active Fluid ◽  
Nonlinear Viscoelastic

Nonlinear Viscoelastic Response of Crumb Rubber Modified Asphalt Binder Under Large Strains

2020 ◽  
Vol 2674 (3) ◽  
pp. 139-149
Author(s):  
Saqib Gulzar ◽  
B. Shane Underwood
Keyword(s):  
Asphalt Binder ◽  
Crumb Rubber ◽  
Oscillatory Shear ◽  
Asphalt Binders ◽  
Large Strains ◽  
Viscoelastic Response ◽  
Modified Asphalt ◽  
Nonlinear Viscoelastic ◽  
Modified Asphalt Binder ◽  
Polymer Modified Asphalt

Agencies have been increasing their use of polymer modified asphalt binders in recent years to address performance issues and lengthen the useful life of their pavements. When deployed these materials likely experience strain levels exceeding their linear viscoelastic (LVE) limits. The same situation exists in non-polymer modified asphalt binders as well, but the effect may be more pronounced in polymer modified systems because of their bi-phasic nature. In this study, terminally blended crumb rubber (CR-TB) modified asphalt is studied to understand and quantify the nonlinear viscoelastic response under large strains. The CR-TB binders are extensively used in pavements subjected to high vehicular loads and extreme climatic conditions; thereby, their response under large strains becomes more critical. The current standard characterization techniques are based on LVE response using small amplitude oscillatory shear rheology only and do not consider the behavior of binders under large strains. In this study, large amplitude oscillatory shear (LAOS) rheology is used as a framework to more thoroughly investigate the complete response of the CR-TB modified asphalt binder under large strains at 30°C, 40°C, 50°C, and 60°C and at the frequencies of 0.5, 1, and 5 Hz. The LAOS response is analyzed using Fourier-transform rheology and the orthogonal stress decomposition method involving Chebyshev polynomial representation. It is found that nonlinearity manifests greatly in this study material as strain levels increase and frequencies decrease. The relative nonlinearity increases with increasing strain amplitude and is more significant towards lower end of the tested temperature range. The CR-TB binder shows strain-stiffening/softening and shear-thinning/thickening behavior depending upon a specific temperature, strain level, and frequency.

On the Nonlinear Viscoelastic Behaviour of the PVC-Coated Fabric

2010 ◽  
Vol 160-162 ◽  
pp. 1476-1481 ◽  
Author(s):  
Wu Lian Zhang ◽  
Xin Ding ◽  
Xu Dong Yang
Keyword(s):  
Viscoelastic Model ◽  
Constitutive Relationship ◽  
Viscoelastic Behaviour ◽  
Viscoelastic Response ◽  
Nonlinear Parameters ◽  
Creep And Recovery ◽  
Nonlinear Viscoelastic ◽  
Coated Fabric ◽  
Nonlinear Viscoelastic Model

The nonlinear viscoelastic response of a PVC-Coated Fabric has been studied. For the needs of the present study, creep and recovery tests in tension of both the warp and the weft directions at the different stress levels were executed while measurements were made of the creep and recovery strain response of the system. For the description of the viscoelastic behaviour of the material, Schapery’s nonlinear viscoelastic model was used. For the description of the nonlinear viscoelastic response and the determination of the nonlinear parameters, a method by using a combination of analytical formulations and numerical procedures based on a modified version of Schapery’s constitutive relationship where an instantaneous plastic and a transient plastic terms were added, has been developed. The method has been successfully applied to the current tests.

Emergence of Strong Nonlinear Viscoelastic Response of Semifluorinated Alkane Monolayers

Langmuir ◽  
2018 ◽  
Vol 34 (7) ◽  
pp. 2489-2496 ◽  
Author(s):  
Salomé Mielke ◽  
Taichi Habe ◽  
Mariam Veschgini ◽  
Xianhe Liu ◽  
Kenichi Yoshikawa ◽  
...  
Keyword(s):  
Viscoelastic Response ◽  
Nonlinear Viscoelastic

Constitutive Characterization of the Nonlinear Viscoelastic Response of Vocal Fold Tissues

2002 ◽  
Author(s):  
Roger W. Chan ◽  
Thomas Siegmund
Keyword(s):  
Time Dependence ◽  
Shear Deformation ◽  
Vocal Fold ◽  
Superposition Principle ◽  
Tensile Loading ◽  
Elastic Response ◽  
Viscoelastic Response ◽  
Strain Dependence ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Behaviors

Previous empirical studies have shown that vocal fold tissues exhibit nonlinear viscoelastic behaviors under different loading conditions. Hysteresis and strain rate-dependence of stress-strain curves have been observed for different layers of vocal fold tissues when subjected to cyclic tensile loading [1,2]. Nonlinear viscoelastic response has also been described for vocal fold tissues subjected to constant strain and constant stress tests under both tensile loading and large-strain shear deformation conditions [3,4]. These findings cannot be adequately described by many of the traditional constitutive formulations of linear and quasilinear viscoelasticity. For instance, models based on Y. C. Fung’s quasilinear viscoelastic theory typically apply two separate functions to describe the time dependence and the strain dependence of stress (e.g., the reduced relaxation function G(t) and the elastic response σe(ε), respectively), and combine the two functions by the Boltzmann superposition principle [5]. Such formulations assume that time dependence and strain dependence can be separated. However, recently obtained stress relaxation data of vocal fold tissues under various magnitudes of applied shear strain indicated that they are not separable, as relaxation became slower with increasing strain [4]. This paper attempts to characterize some nonlinear viscoelastic behaviors of vocal fold tissues under tensile and shear deformation conditions based on an implementation of the Bergstrom-Boyce model [6,7].

Interfacial viscoelastic response to oscillatory shear deformations

1987 ◽  
Vol 119 (2) ◽  
pp. 303-314 ◽  
Author(s):  
J Prieditis ◽  
N.R Amundson ◽  
R.W Flumerfelt
Keyword(s):  
Oscillatory Shear ◽  
Viscoelastic Response ◽  
Shear Deformations
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