Origins of Mechanical and Rheological Properties of Polymer Nanocomposites. Venkat Ganesan
|
|
- Gerard Shields
- 6 years ago
- Views:
Transcription
1 Department of Chemical Engineering University of Origins of Mechanical and Rheological Properties of Polymer Nanocomposites Venkat Ganesan $$$: NSF DMR, Welch Foundation Megha Surve, Victor Pryamitsyn
2 Polymer Nanocomposites Polymers (Blends, Block copolymers) Nano-Fillers Nanocomposites Single- and Multi-Walled Carbon Nanotubes Fullerenes/ Buckyballs Montmorillonite Clays
3 Polymer Nanocomposites Polymers (Blends, Block copolymers) Nano-Fillers Nanocomposites Processing nanocomposites requires understanding their flow behavior. Flow fields provide a versatile approach for controlling dispersions of nanocomposites.
4 Challenges Objective: To model the flow dynamics and structure of nanoparticle-polymer mixtures. Interplay of hydrodynamics and friction in a viscoelastic medium Flow-induced orientation (Schmidt Vermant) Effect of molecular interactions Flow-induced gelation Flow-induced Jamming (Schmidt) (Galgali)
5 The Approach Explicit Solvent Method (Molecular dynamics) Captures hydrodynamics and other interactions. Due to size asymmetry, is computationally expensive. Continuum Methods (Stokesian dynamics, Lattice-Boltzmann) Captures hydrodynamics and is computationally tractable. Can t include interactions with the solvent. Not developed for Non-Newtonian flows.
6 Explicit Solvent Method The Approach Coarse-Grained Explicit Solvent Method U () pc r U () pp r Collection of microscopic solvent units Particle and solvent units interact by coarse-grained potentials. Upc (), r Upp () r are derivable from more atomistic representations.
7 Explicit Solvent Method The Approach Coarse-Grained Explicit Solvent Method N v C N v P N F D v N P v C v N C v P Particles interact by momentum conserving thermostat (preserves hydrodynamics). Involves (central) dissipative forces dependent upon the normal component of the velocity differences. Similar to Dissipative Particle Dynamics.
8 Explicit Solvent Method The Approach Coarse-Grained Explicit Solvent Method T vc T v P v C v P T F D No-Slip v T P v T C Does not capture local hydrodynamics. Requires tangential (not central) velocity-dependent forces.
9 Explicit Solvent Method The Approach Coarse-Grained Explicit Solvent Method Composite Particles N F D N F D v P T F D Does not capture local hydrodynamics. Requires tangential (not central) velocity-dependent forces.
10 Explicit Solvent Method The Approach Coarse-Grained Explicit Solvent Method T v C T v P T F D v T P v C v P v T C Our proposal Directly incorporate tangential velocity-dependent forces.
11 F v D v C P Hydrodynamic Friction Forces N F D N v C N v P Angular Momentum v N P v C v N C vc ωc v P T v C T v P T F D v P ωp FD v T P v C v P P v T C ω ω C Conserves linear and angular momentum Uij Conservative Preserves hydrodynamical phenomena T F D Dissipative Includes tangential friction Brownian dynamics + Dissipative forces FR Random forces Computationally tractable (for size asymmetric systems) (Espanol, 1998; Pryamitsyn and Ganesan, JCP, 2005)
12 Coarse-Grained Colloidal Suspension Mixture of colloid and solvent Colloid:Solvent Radius = 5:1. U CP U PP U CC UCC UCP U PP σ CC σ CP Repulsive LJ Repulsive LJ (Pryamitsyn and Ganesan, JCP, 2005) σ PP Soft Repulsion
13 Hydrodynamic Interactions: Zero-Shear Viscosity 1000 η r Our method Brownian Dynamics Φ= φ φ m Experiments 100 Stokesian Dynamics 10 1 Φ Coarse-Grained solvent method captures hydrodynamical interactions
14 Shear Rheology v C Rheology is sensitive to lubrication forces Provides a sensitive test of explicit solvent model. Stokesian Dynamics shear thickening (Brady) v C φ = Agrees to within 20% of Stokesian dynamics results
15 Summary So Far.. Outlined a coarse-grained explicit solvent method to simulate hydrodynamical phenomena involving particles in complex fluids. Provided evidence that both hydrodynamical and other interactions can be faithfully captured. Results on hard sphere suspensions provided new insights into the interplay between glass transition, hydrodynamics and rheology.
16 Why Polymer Nanocomposites? Polymers (Solutions, Blends) Nano-fillers (Clay, Nanotubes, Fullerenes) Nanocomposites Reinforcement even at η ~ 2% modulus 2 % 1 % 0.5 % 0 % Elastic modulus doubles Viscosity increases by an order of magnitude Microsized particles vol ~ 30% Nanoparticles vol ~ 1-5 % Silica + PEO # # Zhang and Archer, Langmuir, 2002 Addition of small particles Significant property enhancement!!
17 Issues and Questions How do nanoparticles modify the mechanical properties of polymer matrices? What are the mechanisms underlying the above effects? What are the parameters governing the mechanisms?
18 Rheology of PNCs: Linear Viscoelasticity Polycaprolactone + Montmorillonite Clays* PC + Nanotubes** Significant enhancements in elasticity at extremely low loadings Change of viscoelastic response to solid-like behavior. *:Krishnamoorti and Giannelis; **: Fornes and Paul
19 Rheology: Explanations Particle Jamming/Percolation 2R d 2R >> (Krishnamoorti) d Jamming/percolation occurs at low φ φr 3 1 Leads to solid behavior and the enhancements in modulus.
20 Rheology: Explanations Polymer Network Mechanism (Kumar and Douglas) Immobilized Monomers Elasticity due to transient network formation. Plateau modulus due to bridges.
21 Rheology of PNCs: Model System Mixture of spherical nanoparticles in polymer matrices 2R σ P g CC O(1) Slow h h O(1) R g Advantage: A lot is known about spherical colloidal dispersions Disadvantanges: Orientational effects are absent. Need much higher loadings.
22 Model of Polymer Nanocomposites Mixture of colloid and polymeric melt U CP N P 4 2 σ P R g CC 0.45 U CC UCC UCP F PP σ CC σ σ CC PP = 5.0 σ CP b PP σ PP = 3.0 Repulsive LJ Repulsive LJ (VP & VG: Macromolecules, 2006; J. of Rheology) b PP FENE Springs
23 Rheology of PNCs: Linear Viscoelasticity 10 1 G' ( ω) ω 1.6 ω 0.01 ω G' ( ω) ω ω N = 24 = 96 P ω Lower Loadings:Enhancement in modulus but no apparent change in relaxation behavior. Higher Loadings: Significant enhancement in modulus and a solid-like behavior. N P
24 Rheology of PNCs: Linear Viscoelasticity Polycaprolactone + Montmorillonite Clays* PC + Nanotubes** Significant enhancements in elasticity at extremely low loadings Change of viscoelastic response to solid-like behavior. *:Krishnamoorti and Giannelis; **: Fornes and Paul
25 Rheology of PNCs: Linear Viscoelasticity 10 1 G' ( ω) ω 1.6 ω 0.01 ω G' ( ω) ω ω N = 24 = 96 P ω Enhancement in modulus but no apparent change in relaxation behavior at lower loadings: Why? Significant enhancement in modulus and a solid-like behavior at higher loadings: Why? (Not in this talk) N P
26 Impact on Polymer Dynamics Significant impact upon glass transition temperature and polymer dynamics on adding nanoparticles. # How does the polymer dynamics change due to addition of nanoparticles? For unentangled polymers, τ m X m 2 m R(t) ( t) X m(0) exp( t / τ m) τ N 2 1 p ξ Normal modes X m X m (t) ( t) X m(0) Simulation Features No glass transition Coarse-grained model Related to viscosity of media # : Giannelis, Adv. Pol. Sci, 138, 107
27 Effect of Particles on Polymer Dynamics 10 X p ( t) X p (0) exp( t / τ p ) τ τ p R p φ = 0.5 φ = 0.33 φ = 0.11 φ = 0.01 N N N N P P P P = = = = Bare Matrix ( p 1) /( N 1) P Overall Slowing of Polymer Relaxations
28 Effect of Particles on Polymer Dynamics X p ( t) X p (0) exp( t / τ p ) Slowed Monomers Simulations of Grant Smith: Attractions lead to only a weak slowing down in melts. Different monomers of a chain access the slower regions: Overall slowing down of the polymers
29 Effect of Particles on Polymer Viscoelasticity X p ( t) X p (0) exp( t / τ p ) 1.00E+00 ' G pol ( ω) N P G( t) exp( 2t / τ ) p= 1 p 1.00E-03 Modified G pol due to changes in relaxation times 1.00E ω
30 X p Effect of Particles on Polymer Viscoelasticity ( t) X p (0) exp( t / τ p ) 1.00E+00 ' G pol ( ω) 1.00E-03 N P G( t) exp( 2t / τ ) p= Modified G pol due to changes in relaxation times 10 1 G' ( ω) ω 1.6 ω p 0.01 N P = 24 ω 1.00E ω
31 Effect of Particles on Polymer Viscoelasticity X p ( t) X p (0) exp( t / τ p ) 1.00E+03 N P G( t) exp( 2t / τ ) p= 1 p ' G pol ( ω) G' ( ω) 1.00E+00 φ = 0.01 φ = 0.11 φ = 0.33 G' ( ω) 1.00E-03 Modified G pol due to changes in relaxation times 1.00E-06 ω
32 Physical Picture of Polymer Rheology at Low Loadings Particle-induced changes in polymer dynamics is responsible. For the weakly attractive particles, the above manifests as just a change in relaxation times. For strongly attractive particles, the above manifests as the modulus due to polymer-bridged networks.
33 Comparisons to Experiments (Kropka, Green and Ganesan, Macromolecules, In Press) Comparison of the relaxation times in nanocomposites to the bare relaxation times. τ τ rep PMMA rep PMMA + C60 NC wt% C 60
34 Comparisons to Experiments (Kropka, Green and Ganesan, Macromolecules, in Press) Superposition of mechanical modulii after renormalization of relaxation times. βb T G, β T b T G (Pa) α T a T ω (rad/s)
35 Rheology of PNCs: Issues and Questions How do nanoparticles modify the rheology of polymer matrices? What are the mechanisms underlying the above effects? At low particle loadings, polymer-bridging of particles is the responsible mechanism. What are the parameters governing the mechanisms? What are the elastic and structural properties of the gels? Why do nanoparticles lead to prevelant gelation? How does the concentration of particles and polymer affect the gelation, stability characteristics of the mixture?
36 Integrate out polymer degrees of freedom Outline of Approach (1) U Eff + (2) U Eff + βu (3) U Eff Effective Interactions (4) U Eff z P Monte Carlo Moves And Equilibration Cluster Counting βu P BR r Thermodynamics, Phase Behavior Bridging Probability MS, VP, VG: JCP 2005; Langmuir 06; Macromolecules 06. Gelation, Elastic Modulus Analogous to density functional theories used to obtain interatomic potentials in quantum chemistry
37 Integrating Out the Polymer By Mean-Field Theory N segment chain Bead-spring model of polymer Self avoiding random walk Charge effects Idea behind mean-field theory* W() r Thermodynamics Single chain in a potential field W(r). W(r) determined self-consistently to match statistical properties of polymers, say, the volume fraction. *: Helfand (1975)
38 Integrating Out the Polymer By Mean-Field Theory N segment chain Bead-spring model of polymer Self avoiding random walk Charge effects Mean Field Approach Presence of other chains Self consistent potential field w(r) Configurations of a chain subjected to w(r) G( r, r'; n) 2 = G( r, r'; n) iw( r) G( r, r'; n) s G( r, r';0) = δ ( r r') BCs : Polymer - particle interactions r n r' G(r, r ; n)
39 Field-Theory Model For Polymers Density distributions for polymer Polymer mediated effective interactions Numerical solution Bispherical coordinates Curvature of particles accounted exactly!!! Configurations of a chain subjected to w(r) G( r, r'; n) 2 = G( r, r'; n) iw( r) G( r, r'; n) s G( r, r';0) = δ ( r r') r n r' G(r, r ; n) Tail Loop Bridge Number and probability distribution
40 Adsorbed Layer: Particle Size Effects Loop Tail 1 Fraction of segments in loops & tails 0 φ = 2.58 tails loops Radius of the particle, R / R g Tails dominate! Loops dominate! Smaller particles tails dominate
41 Bridging: Particle Size Effects Bridge # of bridges/area R/Rg R/Rg = 0.5 R/Rg = 1.0 R/Rg = Interparticle distance, r/r Smaller particles More number of bridges
42 Cluster Statistics and Gelation bridge Effective interactions I Bonds generation ~ bridging probability II Monte Carlo Moves & Equilibration Cluster formation # & size of clusters, Percolation thresholds Volume fraction at which a space spanning cluster is observed
43 Cluster Statistics and Gelation R/Rg = 2.0 R/Rg = 1.0 R/Rg = 0.5 Smaller particles Gel much earlier! Percolation threshold Polymer melt φ = Particle size ratio, R/R g 2.5 η= 8%
44 Determining Elastic Properties R/Rg = 2.0 R/Rg = 1.0 R/Rg = 0.5 Smaller particles Gel much earlier! η= 8% Post-gel systems Identification of backbone f f Graph theory Elastic properties Simple Network Theories: Elastic Modulii = Number of Bridges in backbone
45 Elastic Modulii of Gels Elastic modulus, G R/Rg = 0.5 R/Rg = 1.0 R/Rg = Particle volume fraction, η particle Smaller particles -> stronger reinforcement. Smaller quantities of nanoparticles are required. Bridging induced clustering of particles responsible for reinforcement. *Surve, Prymitsyn, Ganesan, Phys. Rev. Lett. Much Stronger Enhancements of Moduli in Smaller Particles
46 G 1.E+03 1.E+02 1.E+01 1.E+00 Scaling of Elastic Modulii of Gels Simulation results * G ~ (η-η c ) E+05 1.E+03 1.E+01 Experimental data ~3.08 ~ E-01 1.E-01 1.E-02 1.E Particle volume fraction, (η-η c ) (η-η c ) *Surve, Prymitsyn, Ganesan, Phys. Rev. Lett. Universal scaling of elastic modulus
47 Conclusions Part II Gelation For smaller particles, gelation occurs at very low volume fractions Small particles -> dense networks Small particles -> Much stronger enhancements in modulii
48
Supplementary material to On the rheology of pendular gels and morphological developments in paste- like ternary systems based on capillary attraction
Electronic Supplementary Material (ESI) for Soft Matter. This journal is The Royal Society of Chemistry 214 Supplementary material to On the rheology of pendular gels and morphological developments in
More informationPart III. Polymer Dynamics molecular models
Part III. Polymer Dynamics molecular models I. Unentangled polymer dynamics I.1 Diffusion of a small colloidal particle I.2 Diffusion of an unentangled polymer chain II. Entangled polymer dynamics II.1.
More informationDissipative Particle Dynamics: Foundation, Evolution and Applications
Dissipative Particle Dynamics: Foundation, Evolution and Applications Lecture 4: DPD in soft matter and polymeric applications George Em Karniadakis Division of Applied Mathematics, Brown University &
More informationViscoelasticity. Basic Notions & Examples. Formalism for Linear Viscoelasticity. Simple Models & Mechanical Analogies. Non-linear behavior
Viscoelasticity Basic Notions & Examples Formalism for Linear Viscoelasticity Simple Models & Mechanical Analogies Non-linear behavior Viscoelastic Behavior Generic Viscoelasticity: exhibition of both
More informationEntanglements. M < M e. M > M e. Rouse. Zero-shear viscosity vs. M (note change of slope) Edwards degennes Doi. Berry + Fox, slope 3.4.
Entanglements Zero-shear viscosity vs. M (note change of slope) M < M e Rouse slope 3.4 M > M e Edwards degennes Doi slope 1 Berry + Fox, 1968 Question: Which factors affect the Me: T, P, M, flexibility,
More informationSOLUTIONS TO CHAPTER 5: COLLOIDS AND FINE PARTICLES
SOLUTIONS TO CHAPTER 5: COLLOIDS AND FINE PARTICLES EXERCISE 5.1: Colloidal particles may be either dispersed or aggregated. (a) What causes the difference between these two cases? Answer in terms of interparticle
More informationMicromechanics of Colloidal Suspensions: Dynamics of shear-induced aggregation
: Dynamics of shear-induced aggregation G. Frungieri, J. Debona, M. Vanni Politecnico di Torino Dept. of Applied Science and Technology Lagrangian transport: from complex flows to complex fluids Lecce,
More informationViscoelastic Flows in Abrupt Contraction-Expansions
Viscoelastic Flows in Abrupt Contraction-Expansions I. Fluid Rheology extension. In this note (I of IV) we summarize the rheological properties of the test fluid in shear and The viscoelastic fluid consists
More informationOrigin of Particle Clustering in a Simulated Polymer Nanocomposite and its Impact on Rheology
Wesleyan University From the SelectedWorks of Francis Starr 2003 Origin of Particle Clustering in a Simulated Polymer Nanocomposite and its Impact on Rheology Francis W. Starr, Wesleyan University J. F.
More informationSupplementary Information for: Controlling Cellular Uptake of Nanoparticles with ph-sensitive Polymers
Supplementary Information for: Controlling Cellular Uptake of Nanoparticles with ph-sensitive Polymers Hong-ming Ding 1 & Yu-qiang Ma 1,2, 1 National Laboratory of Solid State Microstructures and Department
More informationColloidal Suspension Rheology Chapter 1 Study Questions
Colloidal Suspension Rheology Chapter 1 Study Questions 1. What forces act on a single colloidal particle suspended in a flowing fluid? Discuss the dependence of these forces on particle radius. 2. What
More informationCoarse-grained Models for Oligomer-grafted Silica Nanoparticles
Modeling So+ Ma-er: Linking Mul3ple Length and Time Scales KITP Conference, Santa Barbara, June 4-8, 2012 Coarse-grained Models for Oligomer-grafted Silica Nanoparticles Bingbing Hong Alexandros Chremos
More informationAging in laponite water suspensions. P. K. Bhattacharyya Institute for Soldier Nanotechnologies Massachusetts Institute of Technology
Aging in laponite water suspensions. P. K. Bhattacharyya Institute for Soldier Nanotechnologies Massachusetts Institute of Technology Outline Laponite Basic background. Laponite in suspension Bonn et al.,
More informationSmoothed Dissipative Particle Dynamics: theory and applications to complex fluids
2015 DPD Workshop September 21-23, 2015, Shanghai University Smoothed Dissipative Particle Dynamics: Dynamics theory and applications to complex fluids Marco Ellero Zienkiewicz Centre for Computational
More informationNetwork formation in viscoelastic phase separation
INSTITUTE OF PHYSICSPUBLISHING JOURNAL OFPHYSICS: CONDENSED MATTER J. Phys.: Condens. Matter 15 (2003) S387 S393 PII: S0953-8984(03)54761-0 Network formation in viscoelastic phase separation Hajime Tanaka,
More informationPolymer Dynamics and Rheology
Polymer Dynamics and Rheology 1 Polymer Dynamics and Rheology Brownian motion Harmonic Oscillator Damped harmonic oscillator Elastic dumbbell model Boltzmann superposition principle Rubber elasticity and
More informationAnalytical Rheology Linear Viscoelasticity of Model and Commercial Long-Chain-Branched Polymer Melts
Analytical Rheology Linear Viscoelasticity of Model and Commercial Long-Chain-Branched Polymer Melts Sachin Shanbhag, Seung Joon Park, Qiang Zhou and Ronald G. Larson Chemical Engineering, University of
More informationVISCOELASTIC PROPERTIES OF POLYMERS
VISCOELASTIC PROPERTIES OF POLYMERS John D. Ferry Professor of Chemistry University of Wisconsin THIRD EDITION JOHN WILEY & SONS New York Chichester Brisbane Toronto Singapore Contents 1. The Nature of
More informationDiscontinuous shear thickening on dense non-brownian suspensions via lattice Boltzmann method
Discontinuous shear thickening on dense non-brownian suspensions via lattice Boltzmann method Pradipto and Hisao Hayakawa Yukawa Insitute for Theoretical Physics Kyoto University Rheology of disordered
More informationRheological Modelling of Polymeric Systems for Foods: Experiments and Simulations
Rheological Modelling of Polymeric Systems for Foods: Experiments and Simulations P.H.S. Santos a, M.A. Carignano b, O.H. Campanella a a Department of Agricultural and Biological Engineering, Purdue University,
More informationWhat is the role of simulation in nanoscience research?
ChE/MSE 557 Intro part 2 What is the role of simulation in nanoscience research? 1 Opportunities for Simulation Simulation Simulation complements both experiment and theory. Extends window of observation
More informationI. Comparison between rheological data obtained by using the shear rate sweep and frequency
Electronic Supplementary Material (ESI) for Soft Matter. This journal is The Royal Society of Chemistry 2017 ELECTRONIC SUPPLEMENTARY INFORMATION (ESI) I. Comparison between rheological data obtained by
More informationIntroduction to Computer Simulations of Soft Matter Methodologies and Applications Boulder July, 19-20, 2012
Introduction to Computer Simulations of Soft Matter Methodologies and Applications Boulder July, 19-20, 2012 K. Kremer Max Planck Institute for Polymer Research, Mainz Overview Simulations, general considerations
More informationAnnual Report for Research Work in the fiscal year 2006
JST Basic Research Programs C R E S T (Core Research for Evolutional Science and Technology) Annual Report for Research Work in the fiscal year 2006 Research Area : High Performance Computing for Multi-scale
More informationMadrid, 8-9 julio 2013
VI CURSO DE INTRODUCCION A LA REOLOGÍA Madrid, 8-9 julio 2013 NON-LINEAR VISCOELASTICITY Prof. Dr. Críspulo Gallegos Dpto. Ingeniería Química. Universidad de Huelva & Institute of Non-Newtonian Fluid Mechanics
More informationPharmaceutical compounding I Colloidal and Surface-Chemical Aspects of Dosage Forms Dr. rer. nat. Rebaz H. Ali
University of Sulaimani School of Pharmacy Dept. of Pharmaceutics Pharmaceutical Compounding Pharmaceutical compounding I Colloidal and Surface-Chemical Aspects of Dosage Forms Dr. rer. nat. Rebaz H. Ali
More informationCritical Phenomena under Shear Flow
Critical Phenomena under Shear Flow Pavlik Lettinga, Hao Wang, Jan K.G. Dhont Close to a gas-liquid critical point, effective interactions between particles become very long ranged, and the dynamics of
More informationPolymer Dynamics. Tom McLeish. (see Adv. Phys., 51, , (2002)) Durham University, UK
Polymer Dynamics Tom McLeish Durham University, UK (see Adv. Phys., 51, 1379-1527, (2002)) Boulder Summer School 2012: Polymers in Soft and Biological Matter Schedule Coarse-grained polymer physics Experimental
More informationAM11: Diagnostics for Measuring and Modelling Dispersion in Nanoparticulate Reinforced Polymers. Polymers: Multiscale Properties.
AM11: Diagnostics for Measuring and Modelling Dispersion in Nanoparticulate Reinforced Polymers Polymers: Multiscale Properties 8 November 2007 Aims Provide diagnostic tools for quantitative measurement
More informationENAS 606 : Polymer Physics
ENAS 606 : Polymer Physics Professor Description Course Topics TA Prerequisite Class Office Hours Chinedum Osuji 302 Mason Lab, 432-4357, chinedum.osuji@yale.edu This course covers the static and dynamic
More informationTuning granular matter rheology using externally supplied vibrations
Flowing Matter 2017 23-27 January 2017 PORTO Tuning granular matter rheology using externally supplied vibrations Laboratory : LEMTA, Nancy (France) Team «Rheophysics and hydrodynamics of complex fluids»
More information(Crystal) Nucleation: The language
Why crystallization requires supercooling (Crystal) Nucleation: The language 2r 1. Transferring N particles from liquid to crystal yields energy. Crystal nucleus Δµ: thermodynamic driving force N is proportional
More informationMesoscale fluid simulation of colloidal systems
Mesoscale fluid simulation of colloidal systems Mingcheng Yang Institute of Physics, CAS Outline (I) Background (II) Simulation method (III) Applications and examples (IV) Summary Background Soft matter
More informationChapter 6 Molten State
Chapter 6 Molten State Rheology ( 流變學 ) study of flow and deformation of (liquid) fluids constitutive (stress-strain) relation of fluids shear flow shear rate ~ dγ/dt ~ velocity gradient dv 1 = dx 1 /dt
More informationA MOLECULAR DYNAMICS STUDY OF POLYMER/GRAPHENE NANOCOMPOSITES
A MOLECULAR DYNAMICS STUDY OF POLYMER/GRAPHENE NANOCOMPOSITES Anastassia N. Rissanou b,c*, Vagelis Harmandaris a,b,c* a Department of Applied Mathematics, University of Crete, GR-79, Heraklion, Crete,
More informationSimulating shear thickening fluids with fractional derivatives
Simulating shear thickening fluids with fractional derivatives Eric Brown, Oktar Ozgen, Marcelo Kallman University of California, Merced Fractional Calculus Day June 12, 2013 work supported by: DARPA-Army
More informationPP/MWCNT/OC Nanocomposites Rheological and Mechanical Properties
International Workshop, Action COST FA0904 Characterization, Mechanics and Performance of Innovative Polymer Nanomaterials for Food Packaging Application, September 24-25, 2013, Varna, Bulgaria PP/MWCNT/OC
More informationPLEASE DO NOT REMOVE THIS PAGE
Thank you for downloading this document from the RMIT ResearchR Repository Citation: Narimissa, E, Rahman, A, Gupta, R, Kao, N and Bhattacharya, S 2013, '(In Press) Anomalous first normal stress difference
More informationDiscontinuous Shear Thickening
Discontinuous Shear Thickening dynamic jamming transition Ryohei Seto, Romain Mari, Jeffrey F. Morris, Morton M. Denn Levich Institute, City College of New York First experimental data Williamson and Hecker
More informationExperimental Colloids I (and I)
Experimental Colloids I (and I) Dave Weitz Harvard http://www.seas.harvard.edu/projects/weitzlab Boulder Summer School 7/24/17 Experimental Colloids I (and I) Dave Weitz Harvard http://www.seas.harvard.edu/projects/weitzlab
More informationSystematic Coarse-Graining and Concurrent Multiresolution Simulation of Molecular Liquids
Systematic Coarse-Graining and Concurrent Multiresolution Simulation of Molecular Liquids Cameron F. Abrams Department of Chemical and Biological Engineering Drexel University Philadelphia, PA USA 9 June
More informationLecture 5: Macromolecules, polymers and DNA
1, polymers and DNA Introduction In this lecture, we focus on a subfield of soft matter: macromolecules and more particularly on polymers. As for the previous chapter about surfactants and electro kinetics,
More informationRHEOLOGY Principles, Measurements, and Applications. Christopher W. Macosko
RHEOLOGY Principles, Measurements, and Applications I -56081-5'79~5 1994 VCH Publishers. Inc. New York Part I. CONSTITUTIVE RELATIONS 1 1 l Elastic Solid 5 1.1 Introduction 5 1.2 The Stress Tensor 8 1.2.1
More informationMechanical properties of polymers: an overview. Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore
Mechanical properties of polymers: an overview Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore UGC-NRCM Summer School on Mechanical Property Characterization- June 2012 Overview of polymer
More informationModelling across different time and length scales
18/1/007 Course MP5 Lecture 1 18/1/007 Modelling across different time and length scales An introduction to multiscale modelling and mesoscale methods Dr James Elliott 0.1 Introduction 6 lectures by JAE,
More informationHigh frequency rheology of hard sphere colloidal dispersions measured with a torsional resonator
J. Non-Newtonian Fluid Mech. 102 (2002) 149 156 High frequency rheology of hard sphere colloidal dispersions measured with a torsional resonator G. Fritz a, B.J. Maranzano b,1, N.J. Wagner b,, N. Willenbacher
More informationContents. Preface XIII. 1 General Introduction 1 References 6
VII Contents Preface XIII 1 General Introduction 1 References 6 2 Interparticle Interactions and Their Combination 7 2.1 Hard-Sphere Interaction 7 2.2 Soft or Electrostatic Interaction 7 2.3 Steric Interaction
More informationChapter 1 Introduction
Chapter 1 Introduction This thesis is concerned with the behaviour of polymers in flow. Both polymers in solutions and polymer melts will be discussed. The field of research that studies the flow behaviour
More informationLecture 2+3: Simulations of Soft Matter. 1. Why Lecture 1 was irrelevant 2. Coarse graining 3. Phase equilibria 4. Applications
Lecture 2+3: Simulations of Soft Matter 1. Why Lecture 1 was irrelevant 2. Coarse graining 3. Phase equilibria 4. Applications D. Frenkel, Boulder, July 6, 2006 What distinguishes Colloids from atoms or
More informationIn-depth analysis of viscoelastic properties thanks to Microrheology: non-contact rheology
In-depth analysis of viscoelastic properties thanks to Microrheology: non-contact rheology Application All domains dealing with soft materials (emulsions, suspensions, gels, foams, polymers, etc ) Objective
More informationColloidal Crystal: emergence of long range order from colloidal fluid
Colloidal Crystal: emergence of long range order from colloidal fluid Lanfang Li December 19, 2008 Abstract Although emergence, or spontaneous symmetry breaking, has been a topic of discussion in physics
More informationEffect of associating polymer on the dispersion stability and rheology of suspensions
Korea-Australia Rheology Journal Vol. 15, No. 1, March 2003 pp. 27-33 Effect of associating polymer on the dispersion stability and rheology of suspensions Yasufumi Otsubo* and Misao Horigome 1 Department
More informationHydrodynamics, Thermodynamics, and Mathematics
Hydrodynamics, Thermodynamics, and Mathematics Hans Christian Öttinger Department of Mat..., ETH Zürich, Switzerland Thermodynamic admissibility and mathematical well-posedness 1. structure of equations
More informationRheology of Soft Materials. Rheology
Τ Thomas G. Mason Department of Chemistry and Biochemistry Department of Physics and Astronomy California NanoSystems Institute Τ γ 26 by Thomas G. Mason All rights reserved. γ (t) τ (t) γ τ Δt 2π t γ
More informationSupplementary Information. Text S1:
Supplementary Information Text S1: In order to characterize the change in visco-elastic response in the course of a shear thickening transition in a controlled shear stress flow, on a fresh sample of for
More informationDynamics of Polymers and Membranes P. B. Sunil Kumar
Dynamics of Polymers and Membranes P. B. Sunil Kumar Department of Physics, Indian Institute of Technology Madras, Chennai, 600036 Dissipative Particle Dynamics (DPD) - Basic model P. Espagnol and P. Warren,
More informationModelling the Rheology of Semi-Concentrated Polymeric Composites
THALES Project No 1188 Modelling the Rheology of Semi-Concentrated Polymeric Composites Research Team Evan Mitsoulis (PI), Professor, NTUA, Greece Costas Papoulias (Research Student), NTUA, Greece Souzanna
More informationThe Effect of Nanoparticle Shape on Polymer- Nanocomposite Rheology and Tensile Strength
Wesleyan University From the SelectedWorks of Francis Starr 2007 The Effect of Nanoparticle Shape on Polymer- Nanocomposite Rheology and Tensile Strength Scott T. Knauert Jack F. Douglas Francis W. Starr,
More informationTime-Dependent Statistical Mechanics 1. Introduction
Time-Dependent Statistical Mechanics 1. Introduction c Hans C. Andersen Announcements September 24, 2009 Lecture 1 9/22/09 1 Topics of concern in the course We shall be concerned with the time dependent
More informationThe Large Amplitude Oscillatory Strain Response of Aqueous Foam: Strain Localization and Full Stress Fourier Spectrum
The Large Amplitude Oscillatory Strain Response of Aqueous Foam: Strain Localization and Full Stress Fourier Spectrum By F. Rouyer, S. Cohen-Addad, R. Höhler, P. Sollich, and S.M. Fielding The European
More informationNonequilibrium transitions in glassy flows II. Peter Schall University of Amsterdam
Nonequilibrium transitions in glassy flows II Peter Schall University of Amsterdam Flow of glasses 1st Lecture Glass Phenomenology Basic concepts: Free volume, Dynamic correlations Apply Shear Glass? Soft
More informationDiffuse Interface Field Approach (DIFA) to Modeling and Simulation of Particle-based Materials Processes
Diffuse Interface Field Approach (DIFA) to Modeling and Simulation of Particle-based Materials Processes Yu U. Wang Department Michigan Technological University Motivation Extend phase field method to
More informationGuideline for Rheological Measurements
Guideline for Rheological Measurements Typical Measurements, Diagrams and Analyses in Rheology www.anton-paar.com General Information: = Measurement = Diagram = Analysis Important Rheological Variables:
More informationContents. Preface XIII
V Contents Preface XIII 1 General Introduction 1 1.1 Fundamental Knowledge Required for Successful Dispersion of Powders into Liquids 1 1.1.1 Wetting of Powder into Liquid 1 1.1.2 Breaking of Aggregates
More informationRheological study on the aging process in a polymeric fumed silica suspension
ANNUAL TRANSACTIONS OF THE NORDIC RHEOLOGY SOCIETY, VOL. 15, 2007 Rheological study on the aging process in a polymeric fumed silica suspension F.J. Galindo Rosales 1, F.J. Rubio Hernández 2 and J.F. Velázquez
More informationAbvanced Lab Course. Dynamical-Mechanical Analysis (DMA) of Polymers
Abvanced Lab Course Dynamical-Mechanical Analysis (DMA) of Polymers M211 As od: 9.4.213 Aim: Determination of the mechanical properties of a typical polymer under alternating load in the elastic range
More informationModeling the Rheology and Orientation Distribution of Short Glass Fibers Suspended in Polymeric Fluids: Simple Shear Flow
Modeling the Rheology and Orientation Distribution of Short Glass Fibers Suspended in Polymeric Fluids: Simple Shear Flow Aaron P.R. berle, Donald G. Baird, and Peter Wapperom* Departments of Chemical
More informationAdvantages of a Finite Extensible Nonlinear Elastic Potential in Lattice Boltzmann Simulations
The Hilltop Review Volume 7 Issue 1 Winter 2014 Article 10 December 2014 Advantages of a Finite Extensible Nonlinear Elastic Potential in Lattice Boltzmann Simulations Tai-Hsien Wu Western Michigan University
More informationStructuring of hydrophobic and hydrophilic polymers at interfaces Stephen Donaldson ChE 210D Final Project Abstract
Structuring of hydrophobic and hydrophilic polymers at interfaces Stephen Donaldson ChE 210D Final Project Abstract In this work, a simplified Lennard-Jones (LJ) sphere model is used to simulate the aggregation,
More informationA new interpretation for the dynamic behavior of complex fluids at the sol-gel transition using the fractional calculus
A new interpretation for the dynamic behavior of complex fluids at the sol-gel transition using the fractional calculus By Stephane Warlus and Alain Ponton Rheol. Acta (009) 48:51-58 Chris Dimitriou NNF
More informationMulti-scale studies of elastomer materials (in a tire tread) TERATEC 2013 Materials Science Session B. Schnell
Multi-scale studies of elastomer materials (in a tire tread) TERATEC 13 Materials Science Session B. Schnell TERATEC - 6/6/13 Page : 1 / 7 Tire description A tire : a highly functional structure composed
More informationGlass Transition as the Rheological Inverse of Gelation
NNF Summer reading group, July 18 th 2017 Glass Transition as the Rheological Inverse of Gelation ACS Macromolecules 46, 2425-2432 (2013) H Henning Winter Department of Chemical Engineering and Department
More informationModeling of Micro-Fluidics by a Dissipative Particle Dynamics Method. Justyna Czerwinska
Modeling of Micro-Fluidics by a Dissipative Particle Dynamics Method Justyna Czerwinska Scales and Physical Models years Time hours Engineering Design Limit Process Design minutes Continious Mechanics
More informationPolymer Rheology. P Sunthar. Department of Chemical Engineering Indian Institute of Technology, Bombay Mumbai , India
Polymer Rheology P Sunthar Department of Chemical Engineering Indian Institute of Technology, Bombay Mumbai 400076, India P.Sunthar@iitb.ac.in 05 Jan 2010 Introduction Phenomenology Modelling Outline of
More informationSupporting Information for. Dynamics of Architecturally Engineered All- Polymer Nanocomposites
Supporting Information for Dynamics of Architecturally Engineered All- Polymer Nanocomposites Erkan Senses,,,,* Madhusudan Tyagi,, Madeleine Pasco, Antonio Faraone,* NIST Center for Neutron Research, National
More informationMechanistic Model for Deformation of Polymer Nanocomposite Melts under Large Amplitude Shear
Mechanistic Model for Deformation of Polymer Nanocomposite Melts under Large Amplitude Shear Erkan Senses and Pinar Akcora Chemical Engineering and Materials Science, Stevens Institute of Technology Hoboken,
More informationPolymer dynamics. Course M6 Lecture 5 26/1/2004 (JAE) 5.1 Introduction. Diffusion of polymers in melts and dilute solution.
Course M6 Lecture 5 6//004 Polymer dynamics Diffusion of polymers in melts and dilute solution Dr James Elliott 5. Introduction So far, we have considered the static configurations and morphologies of
More informationChap. 2. Polymers Introduction. - Polymers: synthetic materials <--> natural materials
Chap. 2. Polymers 2.1. Introduction - Polymers: synthetic materials natural materials no gas phase, not simple liquid (much more viscous), not perfectly crystalline, etc 2.3. Polymer Chain Conformation
More informationCOMPLEX EFFECTS OF MOLECULAR TOPOLOGY, LENGTH AND CONCENTRATION ON MOLECULAR DYNAMICS IN ENTANGLED DNA BLENDS
COMPLEX EFFECTS OF MOLECULAR TOPOLOGY, LENGTH AND CONCENTRATION ON MOLECULAR DYNAMICS IN ENTANGLED DNA BLENDS Students Cole E. Chapman Kent Lee Dean Henze Collaborators Doug Smith (UCSD) Sachin Shanbhag
More informationDefense Technical Information Center Compilation Part Notice
UNCLASSIFIED Defense Technical Information Center Compilation Part Notice ADP014259 TITLE: Mechanical Behavior of Polymer Nanocomposites: A Discrete Simulation Approach DISTRIBUTION: Approved for public
More informationTHE EFFECTS OF CONCENTRATION, INTERACTION, SIZE DISTRIBUTION AND SHAPE ANISOTROPY ON RHEOLOGY OF COLLOIDAL MIXTURES TIANYING JIANG DISSERTATION
THE EFFECTS OF CONCENTRATION, INTERACTION, SIZE DISTRIBUTION AND SHAPE ANISOTROPY ON RHEOLOGY OF COLLOIDAL MIXTURES BY TIANYING JIANG DISSERTATION Submitted in partial fulfillment of the requirements for
More informationModeling of colloidal gels
Modeling of colloidal gels rheology and contact forces 1 Ryohei Seto, TU München Heiko Briesen, TU München Robert Botet, LPS, Paris-Sud Martine Meireles, LGC, Univ. Paul Sabatier Bernard Cabane, ESPCI
More informationA simulation study on shear thickening in wide-gap Couette geometry. Ryohei Seto, Romain Mari Jeffery Morris, Morton Denn, Eliot Fried
A simulation study on shear thickening in wide-gap Couette geometry Ryohei Seto, Romain Mari Jeffery Morris, Morton Denn, Eliot Fried Stokes flow: Zero-Reynolds number fluid mechanics Repulsive Attractive
More informationOne- and two-particle microrheology in solutions of actin, fd-virus and inorganic rods
Microrheology of Biopolymers (ITP Complex Fluids Program 3/05/02) One- and two-particle microrheology in solutions of actin, fd-virus and inorganic rods Christoph Schmidt Vrije Universiteit Amsterdam Collaborators:
More informationSize-Selective Nanoparticle Assembly on Substrates. by DNA Density Patterning
Supporting Information: Size-Selective Nanoparticle Assembly on Substrates by DNA Density Patterning Benjamin D. Myers 1,2, Qing-Yuan Lin 1, Huanxin Wu 3, Erik Luijten 1,3,4, Chad A. Mirkin 1,5,6 and Vinayak
More informationChemical Engineering 160/260 Polymer Science and Engineering. Lecture 14: Amorphous State February 14, 2001
Chemical Engineering 160/260 Polymer Science and Engineering Lecture 14: Amorphous State February 14, 2001 Objectives! To provide guidance toward understanding why an amorphous polymer glass may be considered
More informationc 2009 Michael Dean Bybee
c 29 Michael Dean Bybee HYDRODYNAMIC SIMULATIONS OF COLLOIDAL GELS: MICROSTRUCTURE, DYNAMICS, AND RHEOLOGY BY MICHAEL DEAN BYBEE B.S., Brigham Young University, 23 M.S., University of Illinois at Urbana-Champaign,
More informationAnomalous effect of turning off long-range mobility interactions in Stokesian Dynamics
Anomalous effect of turning off long-range mobility interactions in Stokesian Dynamics Adam K. Townsend, a), b) and Helen J. Wilson Department of Mathematics, University College London, Gower Street, London
More informationSupporting Information
Supporting Information Design of End-to-End Assembly of Side-Grafted Nanorods in a Homopolymer Matrix Yulong Chen 1, Qian Xu 1, Yangfu Jin 1, Xin Qian 1 *, Li Liu 2, Jun Liu 2 *, and Venkat Ganesan 3 *
More informationViscoelasticity, Creep and Oscillation Experiment. Basic Seminar Applied Rheology
Viscoelasticity, Creep and Oscillation Experiment Basic Seminar Applied Rheology Overview Repetition of some basic terms Viscoelastic behavior Experimental approach to viscoelasticity Creep- and recovery
More informationRouse chains, unentangled. entangled. Low Molecular Weight (M < M e ) chains shown moving past one another.
Physical Picture for Diffusion of Polymers Low Molecular Weight (M < M e ) chains shown moving past one another. Z X Y Rouse chains, unentangled Figure by MIT OCW. High Molecular weight (M > M e ) Entanglements
More informationEffective Temperatures in Driven Systems near Jamming
Effective Temperatures in Driven Systems near Jamming Andrea J. Liu Department of Physics & Astronomy University of Pennsylvania Tom Haxton Yair Shokef Tal Danino Ian Ono Corey S. O Hern Douglas Durian
More informationICCP Project 2 - Advanced Monte Carlo Methods Choose one of the three options below
ICCP Project 2 - Advanced Monte Carlo Methods Choose one of the three options below Introduction In statistical physics Monte Carlo methods are considered to have started in the Manhattan project (1940
More informationMECHANICS OF CARBON NANOTUBE BASED COMPOSITES WITH MOLECULAR DYNAMICS AND MORI TANAKA METHODS. Vinu Unnithan and J. N. Reddy
MECHANICS OF CARBON NANOTUBE BASED COMPOSITES WITH MOLECULAR DYNAMICS AND MORI TANAKA METHODS Vinu Unnithan and J. N. Reddy US-South American Workshop: Mechanics and Advanced Materials Research and Education
More informationCoarse-grained materials properties for fiber-based materials from computer simulations
Coarse-grained materials properties for fiber-based materials from computer simulations Mikko Alava Aalto University, Department of Applied Physics, P.O. Box 14100, FIN-00076, FINLAND The understanding
More informationNonlinear Viscoelastic Behaviour of Rubber Composites
Nonlinear Viscoelastic Behaviour of Rubber Composites Sabu Thomas Centre for Nanoscience and Nanotechnology, Mahatma Gandhi University, Kottayam India 1 Polymer Nanocomposites Spheres (0D) TiO 2, SiO 2
More informationRheological characterization of polymer-based nanocomposites with different nanoscale dispersions
e-polymers 2005, no. 005. http://www.e-polymers.org ISSN 1618-7229 Rheological characterization of polymer-based nanocomposites with different nanoscale dispersions Dong Gi Seong, Tae Jin Kang, Jae Ryoun
More informationBROWNIAN DYNAMICS SIMULATIONS WITH HYDRODYNAMICS. Abstract
BROWNIAN DYNAMICS SIMULATIONS WITH HYDRODYNAMICS Juan J. Cerdà 1 1 Institut für Computerphysik, Pfaffenwaldring 27, Universität Stuttgart, 70569 Stuttgart, Germany. (Dated: July 21, 2009) Abstract - 1
More informationMigration Behavior of Bead-spring Dumbbell Models under Microchannel Flow from Dissipative Particle Dynamics Simulations
2426 Bull. Korean Chem. Soc. 2007, Vol. 28, No. 12 Kwang Jin Oh Migration Behavior of Bead-spring Dumbbell Models under Microchannel Flow from Dissipative Particle Dynamics Simulations Kwang Jin Oh Supercomputing
More information