Stress communication and filtering of viscoelastic layers in oscillatory shear

Lindley, Brandon; Howell, Eddie Lee; Smith, Breannan; Rubinstein, Gregory J.; Forest, M. Gregory; Mitran, Sorin; Hill, David B.; Superfine, R.

doi:10.1016/j.jnnfm.2008.07.013

Cited by 7 publications

(14 citation statements)

References 11 publications

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“…We seek to assess the work consumed in phasic boundary forcing of a viscoelastic layer, and how elasticity contributes to the workload. Assuming "viscometric conditions" typical of rheometers, the velocity in the gap is given by [120] 12) so that the shear rate is spatially uniform throughout the plate gap:…”

Section: Mucociliary Clearancementioning

confidence: 99%

Complex Fluids and Soft Structures in the Human Body

Vasquez¹,

Forest²

2014

Complex Fluids in Biological Systems

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The human body is a composite of diverse materials able to perform specific functions. Few of these materials are simple liquids or solids; rather they share both liquid-like and solid-like properties. The material world between liquids and solids is unlimited and exploited by Nature to form complex fluids and soft structures with properties that are tuned to perform highly specialized functions. This chapter will briefly summarize the diversity of materials in the human body, and then drill deeper into one complex fluid (mucus, which coats every organ in the body) and one soft structure (an individual cell), and their remarkable properties. Some progress in characterizing these materials and modeling their functional properties, by others and our research group, will be presented with the take home message that we are in the early stages of interpreting experimental data and building predictive models and simulations of biological materials.

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Section: Mucociliary Clearancementioning

confidence: 99%

Complex Fluids and Soft Structures in the Human Body

Vasquez¹,

Forest²

2014

Complex Fluids in Biological Systems

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“…More recently, Zhang et al [16] have obtained a perturbation solution to the convected Maxwell model case. There are numerous articles in the rheology literature on thin film flows of the Maxwell fluid, applied, for example, to biological and MEMS applications [17]. From a fluid mechanical perspective, these are often lubrication flows, although the authors do not specifically treat them as such.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Non-Newtonian Constitutive Laws in Hydrodynamic Lubrication

Boucherit¹,

Lahmar²,

Bou‐Saïd³

et al. 2010

Tribol Lett

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“…We first recall from [11] the frequency-locked solutions for an arbitrary linear viscoelastic fluid and their relationship to the UCM equation and momentum equation for imposed oscillatory strain of frequency ω on a fluid in a finite depth channel. The standard Cartesian xyz coordinate system will be used throughout the paper.…”

Section: Phasic Strain-induced Stress Envelopes In the Upper Convecmentioning

confidence: 99%

“…al. [11] boundary stress signals are analyzed from these formulas. Our aim here is to analyze the entire heterogeneous stress and flow/strain envelopes.…”

Section: Phasic Strain-induced Stress Envelopes In the Upper Convecmentioning

confidence: 99%

“…We first recall the formulation developed in [7,11,12], which is a generalization of the Ferry shear wave model [4-6] (also considered by Schrag et al [15,16] for linear viscoelastic experiments) to finite depth layers and nonlinear constitutive laws. We briefly summarize the key elements from these references in order to describe the present focus on heterogeneous stress distributions in a viscoelastic layer being driven by oscillatory shear strain or stress.…”

Section: Introductionmentioning

confidence: 99%

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Spatial stress and strain distributions of viscoelastic layers in oscillatory shear

Lindley

Forest

Smith

et al. 2012

Mathematics and Computers in Simulation

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One of the standard experimental probes of a viscoelastic material is to measure the response of a layer trapped between parallel surfaces, imposing either periodic stress or strain at one boundary and measuring the other. The relative phase between stress and strain yields solid-like and liquidlike properties, called the storage and loss moduli, respectively, which are then captured over a range of imposed frequencies. Rarely are the full spatial distributions of shear and normal stresses considered, primarily because they cannot be measured except at boundaries and the information was not deemed of particular interest in theoretical studies. Likewise, strain distributions throughout the layer were traditionally ignored except in a classical protocol of Ferry, Adler and Sawyer, based on snapshots of standing shear waves. Recent investigations of thin lung mucus layers exposed to oscillatory stress (breathing) and strain (coordinated cilia), however, suggest that the wide range of healthy conditions and environmental or disease assaults lead to conditions that are quite disparate from the "surface loading" and "gap loading" conditions that characterize classical rheometers. In this article, we extend our previous linear and nonlinear models of boundary stresses in controlled oscillatory strain to the entire layer. To illustrate non-intuitive heterogeneous responses, we characterize experimental conditions and material parameter ranges where the maximum stresses migrate into the channel interior.

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Stress communication and filtering of viscoelastic layers in oscillatory shear

Cited by 7 publications

References 11 publications

Complex Fluids and Soft Structures in the Human Body

Complex Fluids and Soft Structures in the Human Body

Comparison of Non-Newtonian Constitutive Laws in Hydrodynamic Lubrication

Spatial stress and strain distributions of viscoelastic layers in oscillatory shear

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