Linear Viscoelastic Rheology of Moderately Entangled Telechelic Polybutadiene Temporary Networks

2009 ◽  
Vol 42 (16) ◽  
pp. 6181-6192 ◽  
Author(s):  
Florian J. Stadler ◽  
Wim Pyckhout-Hintzen ◽  
Jean-Marc Schumers ◽  
Charles-André Fustin ◽  
Jean-François Gohy ◽  
...  
Keyword(s):  
Linear Viscoelastic ◽  
Viscoelastic Rheology

Linear and non-linear viscoelastic rheology of hybrid nanostructured materials from block copolymers with gold nanoparticles

2011 ◽  
Vol 50 (3) ◽  
pp. 257-275 ◽  
Author(s):  
Cesar Mendoza ◽  
Nabil Gindy ◽  
Manfred Wilhelm ◽  
Amir Fahmi
Keyword(s):  
Gold Nanoparticles ◽  
Block Copolymers ◽  
Nanostructured Materials ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Viscoelastic Rheology

scholarly journals Mathematical modelling of cilia-driven transport of biological fluids

2009 ◽  
Vol 465 (2108) ◽  
pp. 2417-2439 ◽  
Author(s):  
D. J. Smith ◽  
E. A. Gaffney ◽  
J. R. Blake
Keyword(s):  
Relaxation Time ◽  
Particle Transport ◽  
Biological Fluids ◽  
Three Dimensional ◽  
Bending Moments ◽  
Efficient Computation ◽  
Slender Body Theory ◽  
Linear Viscoelastic ◽  
Dependent Flow ◽  
Viscoelastic Rheology

Cilia-driven flow occurs in the airway surface liquid, in the female and male reproductive tracts and enables symmetry-breaking in the embryonic node. Viscoelastic rheology is found in healthy states in some systems, whereas in others may characterise disease, motivating the development of mathematical models that take this effect into account. We derive the fundamental solution for linear viscoelastic flow, which is subsequently used as a basis for slender-body theory. Our numerical algorithm allows efficient computation of three-dimensional time-dependent flow, bending moments, power and particle transport. We apply the model to the large-amplitude motion of a single cilium in a linear Maxwell liquid. A relatively short relaxation time of just 0.032 times the beat period significantly reduces forces, bending moments, power and particle transport, the last variable exhibiting exponential decay with relaxation time. A test particle is propelled approximately one-fifth as quickly along the direction of cilia beating for scaled relaxation time 0.032 as in the Newtonian case, and mean volume flow is abolished, emphasizing the sensitivity of cilia function to fluid rheology. These results may have implications for flow in the airways, where the transition from Newtonian to viscoelastic rheology in the peri-ciliary fluid may reduce clearance.

Modeling of Tread Block Contact Mechanics Using Linear Viscoelastic Theory3

2008 ◽  
Vol 36 (3) ◽  
pp. 211-226 ◽  
Author(s):  
F. Liu ◽  
M. P. F. Sutcliffe ◽  
W. R. Graham
Keyword(s):  
High Speed ◽  
Slip Rate ◽  
Material Model ◽  
Contact Forces ◽  
Block Modeling ◽  
Rate Dependent ◽  
Linear Viscoelastic Material ◽  
Linear Viscoelastic ◽  
The Impact ◽  
Good Agreement

Abstract In an effort to understand the dynamic hub forces on road vehicles, an advanced free-rolling tire-model is being developed in which the tread blocks and tire belt are modeled separately. This paper presents the interim results for the tread block modeling. The finite element code ABAQUS/Explicit is used to predict the contact forces on the tread blocks based on a linear viscoelastic material model. Special attention is paid to investigating the forces on the tread blocks during the impact and release motions. A pressure and slip-rate-dependent frictional law is applied in the analysis. A simplified numerical model is also proposed where the tread blocks are discretized into linear viscoelastic spring elements. The results from both models are validated via experiments in a high-speed rolling test rig and found to be in good agreement.

Hot-Mix Asphalt Linear Viscoelastic Response Combining Creep and Dynamic Test Results

2010 ◽  
Vol 11 (2) ◽  
pp. 489-498
Author(s):  
Gerardo W. Flintsch ◽  
Samer W. Katicha
Keyword(s):  
Hot Mix Asphalt ◽  
Dynamic Test ◽  
Viscoelastic Response ◽  
Test Results ◽  
Linear Viscoelastic

Estimates for the linear viscoelastic damped wave equation on the Heisenberg group

2021 ◽  
Vol 285 ◽  
pp. 663-685
Author(s):  
Yan Liu ◽  
Yuanfei Li ◽  
Jincheng Shi
Keyword(s):  
Wave Equation ◽  
Heisenberg Group ◽  
Damped Wave Equation ◽  
Linear Viscoelastic

Bend stiffener linear viscoelastic thermo-mechanical analysis. Part I — Experimental characterization and mathematical formulation

2021 ◽  
Vol 77 ◽  
pp. 102946
Author(s):  
Aynor J. Ariza Gomez ◽  
Marcelo Caire ◽  
Luis Carlos Absalon Rojas Torres ◽  
Murilo Augusto Vaz
Keyword(s):  
Mathematical Formulation ◽  
Mechanical Analysis ◽  
Experimental Characterization ◽  
Linear Viscoelastic

Preparation, Characterization and Processing of PCL/PHO Blends by 3D Bioplotting

2020 ◽  
Vol 35 (5) ◽  
pp. 458-470
Author(s):  
S. Gopi ◽  
B. A. Ramsay ◽  
J. A. Ramsay ◽  
M. Kontopoulou
Keyword(s):  
Viscoelastic Properties ◽  
Biomedical Applications ◽  
Synergistic Effects ◽  
Thermal And Mechanical Properties ◽  
Flow Properties ◽  
Immiscible Blends ◽  
Melt Compounding ◽  
Linear Viscoelastic ◽  
Matrix Morphology ◽  
Good Flow

Abstract Blends of polycaprolactone (PCL) and poly(3-hydroxyoctanoate) P(3HO) were prepared by melt compounding. These immiscible blends exhibited droplet-matrix morphology at compositions up to 30 wt% P(3HO). Even though the addition of amorphous P(3HO) decreased the crystallinity of PCL, the crystallization temperature of the blends increased by 6 to 7 8C. Blends containing up to 30 wt% P(3HO) had higher crystallization rates, and lower crystallization half-times compared to neat PCL. The viscosity of PCL decreased upon addition of P(3HO), making the blends suitable for processing using a 3D bioplotter. Compositions with 10 to 30 wt% P(3HO) were ideal for processing, because of their improved crystallization kinetics, reduced stickiness and good flow properties. Estimation of the interfacial tension by fitting the Palierne model to the linear viscoelastic properties of the blends revealed good compatibility, which gave rise to synergistic effects in the thermal and mechanical properties. The fibres prepared by 3D bioplotting maintained droplet matrix morphology, with finer particle size than the original compounded material. In addition to favourable viscosity and thermal properties, the extruded fibres containing 30 wt% P(3HO) had comparable modulus to the neat PCL, while exhibiting good ductility. These blends may be suitable alternatives to PCL for biomedical applications, because they provide a range of crystallinities, crystallization rates and viscosities.

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