User menu

Molecular rheology of branched polymers: decoding and exploring the role of architectural dispersity through a synergy of anionic synthesis, interaction chromatography, rheometry and modeling

Bibliographic reference Van Ruymbeke, Evelyne ; Lee, H. ; Chang, T. ; Nikopoulou, A. ; Hadjichristidis, N. ; et. al. Molecular rheology of branched polymers: decoding and exploring the role of architectural dispersity through a synergy of anionic synthesis, interaction chromatography, rheometry and modeling. In: Soft Matter, Vol. 10, no.27, p. 4762 (2014)
Permanent URL
  1. Watanabe H., Viscoelasticity and dynamics of entangled polymers, 10.1016/s0079-6700(99)00029-5
  2. McLeish T. C. B., Tube theory of entangled polymer dynamics, 10.1080/00018730210153216
  3. van Ruymbeke, Rheol. Rev., 53 (2007)
  4. Léonardi Frédéric, Allal Ahmed, Marin Gérard, Molecular weight distribution from viscoelastic data: The importance of tube renewal and Rouse modes, 10.1122/1.1428315
  5. Pattamaprom Cattaleeya, Larson Ronald G., Sirivat Anuvat, Determining polymer molecular weight distributions from rheological properties using the dual-constraint model, 10.1007/s00397-008-0264-5
  6. van Ruymbeke Evelyne, Keunings Roland, Bailly Christian, Determination of the molecular weight distribution of entangled linear polymers from linear viscoelasticity data, 10.1016/s0377-0257(02)00080-0
  7. Carrot Christian, Guillet Jacques, From dynamic moduli to molecular weight distribution: A study of various polydisperse linear polymers, 10.1122/1.550815
  8. Watanabe Hiroshi, Ishida Satoshi, Matsumiya Yumi, Inoue Tadashi, Test of Full and Partial Tube Dilation Pictures in Entangled Blends of Linear Polyisoprenes, 10.1021/ma0495689
  9. Watanabe Hiroshi, Ishida Satoshi, Matsumiya Yumi, Inoue Tadashi, Viscoelastic and Dielectric Behavior of Entangled Blends of Linear Polyisoprenes Having Widely Separated Molecular Weights:  Test of Tube Dilation Picture, 10.1021/ma030443y
  10. Struglinski Mark J., Graessley William W., Effects of polydispersity on the linear viscoelastic properties of entangled polymers. 1. Experimental observations for binary mixtures of linear polybutadiene, 10.1021/ma00154a046
  11. Milner S. T., McLeish T. C. B., Parameter-Free Theory for Stress Relaxation in Star Polymer Melts, 10.1021/ma961559f
  12. Milner S. T., McLeish T. C. B., Arm-Length Dependence of Stress Relaxation in Star Polymer Melts, 10.1021/ma980060d
  13. Frischknecht Amalie L., Milner Scott T., Pryke Andrew, Young Ron N., Hawkins Rhoda, McLeish Tom C. B., Rheology of Three-Arm Asymmetric Star Polymer Melts, 10.1021/ma0101411
  14. van Ruymbeke E., Keunings R., Bailly C., Prediction of linear viscoelastic properties for polydisperse mixtures of entangled star and linear polymers: Modified tube-based model and comparison with experimental results, 10.1016/j.jnnfm.2005.01.006
  15. Watanabe Hiroshi, Matsumiya Yumi, Inoue Tadashi, Dielectric and Viscoelastic Relaxation of Highly Entangled Star Polyisoprene:  Quantitative Test of Tube Dilation Model, 10.1021/ma011782z
  16. Shanbhag Sachin, Analytical rheology of branched polymer melts: Identifying and resolving degenerate structures, 10.1122/1.3523627
  17. Shanbhag Sachin, Analytical rheology of blends of linear and star polymers using a Bayesian formulation, 10.1007/s00397-010-0443-z
  18. Das Chinmay, Inkson Nathanael J., Read Daniel J., Kelmanson Mark A., McLeish Tom C. B., Computational linear rheology of general branch-on-branch polymers, 10.1122/1.2167487
  19. Larson R. G., Combinatorial Rheology of Branched Polymer Melts, 10.1021/ma000700o
  20. van Ruymbeke E., Bailly C., Keunings R., Vlassopoulos D., A General Methodology to Predict the Linear Rheology of Branched Polymers, 10.1021/ma0604385
  21. Blackwell Richard J., Harlen Oliver G., McLeish Tom C. B., Theoretical Linear and Nonlinear Rheology of Symmetric Treelike Polymer Melts, 10.1021/ma001687a
  22. Lee Jung Hun, Fetters Lewis J., Archer Lynden A., Branch-Point Motion in Asymmetric Star Polymers, 10.1021/ma047687i
  23. van Ruymbeke E., Orfanou K., Kapnistos M., Iatrou H., Pitsikalis M., Hadjichristidis N., Lohse D. J., Vlassopoulos D., Entangled Dendritic Polymers and Beyond:  Rheology of Symmetric Cayley-Tree Polymers and Macromolecular Self-Assemblies, 10.1021/ma0706024
  24. Kapnistos M., Vlassopoulos D., Roovers J., Leal L. G., Linear Rheology of Architecturally Complex Macromolecules:  Comb Polymers with Linear Backbones, 10.1021/ma050644x
  25. Kapnistos, Rheol. Acta, 46, 273 (2006)
  26. Kirkwood Keith M., Leal L. Gary, Vlassopoulos Dimitris, Driva Paraskevi, Hadjichristidis Nikos, Stress Relaxation of Comb Polymers with Short Branches, 10.1021/ma900950s
  27. Ahmadi Mostafa, Bailly Christian, Keunings Roland, Nekoomanesh Mehdi, Arabi Hassan, van Ruymbeke Evelyne, Time Marching Algorithm for Predicting the Linear Rheology of Monodisperse Comb Polymer Melts, 10.1021/ma102041h
  28. Watanabe H., Matsumiya Y., van Ruymbeke E., Vlassopoulos D., Hadjichristidis N., Viscoelastic and Dielectric Relaxation of a Cayley-Tree-Type Polyisoprene: Test of Molecular Picture of Dynamic Tube Dilation, 10.1021/ma800503e
  29. Wang Zuowei, Chen Xue, Larson Ronald G., Comparing tube models for predicting the linear rheology of branched polymer melts, 10.1122/1.3301246
  30. van Ruymbeke Evelyne, Kapnistos Michael, Vlassopoulos Dimitris, Huang Tianzi, Knauss Daniel M., Linear Melt Rheology of Pom-Pom Polystyrenes with Unentangled Branches, 10.1021/ma062487n
  31. Hutchings Lian R., Complex Branched Polymers for Structure–Property Correlation Studies: The Case for Temperature Gradient Interaction Chromatography Analysis, 10.1021/ma3005422
  32. Chen Xue, Rahman M. Shahinur, Lee Hyojoon, Mays Jimmy, Chang Taihyun, Larson Ronald, Combined Synthesis, TGIC Characterization, and Rheological Measurement and Prediction of Symmetric H Polybutadienes and Their Blends with Linear and Star-Shaped Polybutadienes, 10.1021/ma2011377
  33. Li Si Wan, Park Heon E., Dealy John M., Maric Milan, Lee Hyojoon, Im Kyuhyun, Choi Heungyeal, Chang Taihyun, Rahman M. Shahinur, Mays Jimmy, Detecting Structural Polydispersity in Branched Polybutadienes, 10.1021/ma101803h
  34. Hutchings Lian R., Kimani Solomon M., Hoyle David M., Read Daniel J., Das Chinmay, McLeish Thomas C. B., Chang Taihyun, Lee Hyojoon, Auhl Dietmar, In Silico Molecular Design, Synthesis, Characterization, and Rheology of Dendritically Branched Polymers: Closing the Design Loop, 10.1021/mz300059k
  35. Chen Xue, Lee Hyojoon, Rahman M. Shahinur, Chang Taihyun, Mays Jimmy, Larson Ronald, Analytical Rheology of Asymmetric H-Shaped Model Polybutadiene Melts, 10.1021/ma300337x
  36. Chambon Pierre, Fernyhough Christine M., Im Kyuhyun, Chang Taihyun, Das Chinmay, Embery John, McLeish Tom C. B., Read Daniel J., Synthesis, Temperature Gradient Interaction Chromatography, and Rheology of Entangled Styrene Comb Polymers, 10.1021/ma800599m
  37. Snijkers Frank, van Ruymbeke Evelyne, Kim Paul, Lee Hyojoon, Nikopoulou Anastasia, Chang Taihyun, Hadjichristidis Nikos, Pathak Jai, Vlassopoulos Dimitris, Architectural Dispersity in Model Branched Polymers: Analysis and Rheological Consequences, 10.1021/ma2013805
  38. Ratkanthwar Kedar, Hadjichristidis Nikos, Lee Sanghoon, Chang Taihyun, Pudukulathan Zubaidha, Vlassopoulos Dimitris, Synthesis and characterization of an exact comb polyisoprene with three branches having the middle branch twice the molecular weight of the other two identical external branches, 10.1039/c3py00848g
  39. van Ruymbeke Evelyne, Coppola Salvatore, Balacca Letizia, Righi Sandra, Vlassopoulos Dimitris, Decoding the viscoelastic response of polydisperse star/linear polymer blends, 10.1122/1.3368729
  40. van Ruymbeke E., Slot J. J. M., Kapnistos M., Steeman P. A. M., Structure and rheology of branched polyamide 6 polymers from their reaction recipe, 10.1039/c3sm50226k
  41. Chen Xue, Costeux Chunxia, Larson Ronald G., Characterization and prediction of long-chain branching in commercial polyethylenes by a combination of rheology and modeling methods, 10.1122/1.3479044
  42. Inkson Nathanael J., Das Chinmay, Read Daniel J., Monte Carlo Simulation for the Structure of Polyolefins Made with Two Metallocene Catalysts in a Batch Reactor, 10.1021/ma060654d
  43. Read D. J., Auhl D., Das C., den Doelder J., Kapnistos M., Vittorias I., McLeish T. C. B., Linking Models of Polymerization and Dynamics to Predict Branched Polymer Structure and Flow, 10.1126/science.1207060
  44. Park Seung Joon, Shanbhag Sachin, Larson Ronald G., A hierarchical algorithm for predicting the linear viscoelastic properties of polymer melts with long-chain branching, 10.1007/s00397-004-0415-2
  45. Park Seung Joon, Larson Ronald G., Tube Dilation and Reptation in Binary Blends of Monodisperse Linear Polymers, 10.1021/ma0343683
  46. Masubuchi Yuichi, Watanabe Hiroshi, Ianniruberto Giovanni, Greco Francesco, Marrucci Giuseppe, Comparison among Slip-Link Simulations of Bidisperse Linear Polymer Melts, 10.1021/ma800954q
  47. Masubuchi Yuichi, Takimoto Jun-Ichi, Koyama Kiyohito, Ianniruberto Giovanni, Marrucci Giuseppe, Greco Francesco, Brownian simulations of a network of reptating primitive chains, 10.1063/1.1389858
  48. Masubuchi Yuichi, Ianniruberto Giovanni, Greco Francesco, Marrucci Giuseppe, Entanglement molecular weight and frequency response of sliplink networks, 10.1063/1.1605382
  49. Shanbhag S., Larson R. G., A Slip-Link Model of Branch-Point Motion in Entangled Polymers, 10.1021/ma034532m
  50. Likhtman Alexei E., Single-Chain Slip-Link Model of Entangled Polymers:  Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion, 10.1021/ma050399h
  51. Likhtman Alexei E., Sukumaran Sathish K., Ramirez Jorge, Linear Viscoelasticity from Molecular Dynamics Simulation of Entangled Polymers, 10.1021/ma070843b
  52. Khaliullin Renat N., Schieber Jay D., Application of the Slip-Link Model to Bidisperse Systems, 10.1021/ma902823k
  53. Roovers Jacques, Tube renewal in the relaxation of 4-arm-star polybutadienes in linear polybutadienes, 10.1021/ma00167a025
  54. Richards R. W., Influence of Architecture on Arm Dimensions and Interaction Parameters in Polybutadiene Star Polymers, 10.1021/ma980980w
  55. Clarke Nigel, Colley F. Roger, Collins Stephen A., Hutchings Lian R., Thompson Richard L., Self-Diffusion and Viscoelastic Measurements of Polystyrene Star Polymers, 10.1021/ma051973s
  56. Hadjichristidis Nikos, Pispas Stergios, Pitsikalis Marinos, Iatrou Hermis, Vlahos Costas, Asymmetric Star Polymers: Synthesis and Properties, Branched Polymers I ISBN:9783540649236 p.71-127, 10.1007/3-540-68310-0_2
  57. Roovers J., Toporowski P. M., Preparation and characterization of H-shaped polystyrene, 10.1021/ma50006a007
  58. Li Si Wan, Park Heon E., Dealy John M., Evaluation of molecular linear viscoelastic models for polydisperse H polybutadienes, 10.1122/1.3635384
  59. Rahman M. Shahinur, Aggarwal Ravi, Larson Ronald G., Dealy John M., Mays Jimmy, Synthesis and Dilute Solution Properties of Well-Defined H-Shaped Polybutadienes, 10.1021/ma801646u
  60. McLeish T. C. B., Allgaier J., Bick D. K., Bishko G., Biswas P., Blackwell R., Blottière B., Clarke N., Gibbs B., Groves D. J., Hakiki A., Heenan R. K., Johnson J. M., Kant R., Read D. J., Young R. N., Dynamics of Entangled H-Polymers:  Theory, Rheology, and Neutron-Scattering, 10.1021/ma990323j
  61. Roovers J., Synthesis and dilute solution characterization of comb polystyrenes, 10.1016/0032-3861(79)90121-6
  62. Ryu Sang Woog, Hirao Akira, Anionic Synthesis of Well-Defined Poly(m-halomethylstyrene)s and Branched Polymers via Graft-onto Methodology, 10.1021/ma991793g
  63. Daniels D. R., McLeish T. C. B., Crosby B. J., Young R. N., Fernyhough C. M., Molecular Rheology of Comb Polymer Melts. 1. Linear Viscoelastic Response, 10.1021/ma010712p
  64. Fernyhough C.M., Young R.N., Ryan A.J., Hutchings L.R., Synthesis and characterisation of poly(sodium 4-styrenesulfonate) combs, 10.1016/j.polymer.2006.03.055
  65. Zhang Hong Xia, Li Yang, Zhang Chun Qing, Hu Yan Ming, Wang Yu Rong, Ma Hong Wei, Li Wei, Synthesis and characterization of star-comb polybutadiene and poly(ethylene-co-butene), 10.1016/j.cclet.2009.11.031
  66. Archer L. A., Varshney S. K., Synthesis and Relaxation Dynamics of Multiarm Polybutadiene Melts, 10.1021/ma9802733
  67. Roovers Jacques, Melt rheology of H-shaped polystyrenes, 10.1021/ma00136a016
  68. van Ruymbeke E., Muliawan E. B., Hatzikiriakos S. G., Watanabe T., Hirao A., Vlassopoulos D., Viscoelasticity and extensional rheology of model Cayley-tree polymers of different generations, 10.1122/1.3368724
  69. Hutchings Lian R., DendriMacs and HyperMacs – emerging as more than just model branched polymers., 10.1039/b809634a
  70. Hirao Akira, Watanabe Takumi, Ishizu Koji, Ree Moonhor, Jin Sangwoo, Jin Kyeong Sik, Deffieux Alain, Schappacher Michel, Carlotti Stéphane, Precise Synthesis and Characterization of Fourth-Generation Dendrimer-like Star-Branched Poly(methyl methacrylate)s and Block Copolymers by Iterative Methodology Based on Living Anionic Polymerization, 10.1021/ma802209n
  71. Orfanou Katerina, Iatrou Hermis, Lohse David J., Hadjichristidis Nikos, Synthesis of Well-Defined Second (G-2) and Third (G-3) Generation Dendritic Polybutadienes, 10.1021/ma060231b
  72. Lee Jung Hun, Orfanou Katerina, Driva Paraskevi, Iatrou Hermis, Hadjichristidis Nikos, Lohse David J., Linear and Nonlinear Rheology of Dendritic Star Polymers: Experiment, 10.1021/ma801429k
  73. Dorgan John R., Knauss Daniel M., Al-Muallem Hasan A., Huang Tianzi, Vlassopoulos Dimitris, Melt Rheology of Dendritically Branched Polystyrenes, 10.1021/ma020612z
  74. Kapnistos Michael, Koutalas George, Hadjichristidis Nikos, Roovers Jacques, Lohse David J., Vlassopoulos Dimitris, Linear rheology of comb polymers with star-like backbones: melts and solutions, 10.1007/s00397-006-0106-2
  75. Chen Xue, Larson Ronald G., Effect of Branch Point Position on the Linear Rheology of Asymmetric Star Polymers, 10.1021/ma8005262
  76. Lee Jung Hun, Fetters Lewis J., Archer Lynden A., Stress Relaxation of Branched Polymers, 10.1021/ma051856x
  77. Marrucci G., Relaxation by reptation and tube enlargement: A model for polydisperse polymers, 10.1002/pol.1985.180230115
  78. Ball R. C., McLeish T. C. B., Dynamic dilution and the viscosity of star-polymer melts, 10.1021/ma00194a066
  79. Wagner Manfred H., Rolón-Garrido Victor H., Nielsen Jens Kromann, Rasmussen Henrik K., Hassager Ole, A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends, 10.1122/1.2807442
  80. Nielsen Jens Kromann, Rasmussen Henrik Koblitz, Denberg Martin, Almdal Kristoffer, Hassager Ole, Nonlinear Branch-Point Dynamics of Multiarm Polystyrene, 10.1021/ma061476r
  81. van Ruymbeke E., Nielsen J., Hassager O., Linear and nonlinear viscoelastic properties of bidisperse linear polymers: Mixing law and tube pressure effect, 10.1122/1.3478316
  82. Wagner Manfred H., Rolón-Garrido Víctor H., Verification of branch point withdrawal in elongational flow of pom-pom polystyrene melt, 10.1122/1.2957699
  83. Rolón-Garrido Víctor Hugo, Pivokonsky Radek, Filip Petr, Zatloukal Martin, Wagner Manfred H., Modelling elongational and shear rheology of two LDPE melts, 10.1007/s00397-009-0366-8
  84. van Ruymbeke E., Stéphenne V., Daoust D., Godard P., Keunings R., Bailly C., A sensitive method to detect very low levels of long chain branching from the molar mass distribution and linear viscoelastic response, 10.1122/1.2048743
  85. Shanbhag Sachin, Inference of polymer structure by simultaneous analysis of chromatographic and rheological measurements, 10.1007/s00397-013-0734-2
  86. Lee Hee Cheong, Chang Taihyun, Polymer molecular weight characterization by temperature gradient high performance liquid chromatography, 10.1016/s0032-3861(96)00510-1
  87. Ryu Jinsook, Chang Taihyun, Thermodynamic Prediction of Polymer Retention in Temperature-Programmed HPLC, 10.1021/ac0507486
  88. Chang Taihyun, Polymer characterization by interaction chromatography, 10.1002/polb.20440
  89. Lee Wonmok, Lee Hyunjung, Cha Junhoe, Chang Taihyun, Hanley Kenneth J., Lodge Timothy P., Molecular Weight Distribution of Polystyrene Made by Anionic Polymerization, 10.1021/ma000011c
  90. Perny Sébastien, Allgaier Jürgen, Cho Donghyun, Lee Wonmok, Chang Taihyun, Synthesis and Structural Analysis of an H-Shaped Polybutadiene, 10.1021/ma001608v
  91. Ahn Seonyoung, Im Kyuhyun, Chang Taihyun, Chambon Pierre, Fernyhough Christine M., 2D-LC Characterization of Comb-Shaped Polymers Using Isotope Effect, 10.1021/ac2005907
  92. Lee Hee Cheong, Chang Taihyun, Harville Steven, Mays Jimmy W., Characterization of Linear and Star Polystyrene by Temperature-Gradient Interaction Chromatography with a Light-Scattering Detector, 10.1021/ma9710996
  93. Im Kyuhyun, Park Soojin, Cho Donghyun, Chang Taihyun, Lee Kwanyoung, Choi Namsun, HPLC and MALDI-TOF MS Analysis of Highly Branched Polystyrene:  Resolution Enhancement by Branching, 10.1021/ac035506p
  94. Nikopoulou Anastasia, Iatrou Hermis, Lohse David J., Hadjichristidis Nikos, Synthesis of exact comb polybutadienes with two and three branches, 10.1002/pola.23345
  95. Taton Daniel, Feng Xiaoshuang, Gnanou Yves, Dendrimer-like polymers: a new class of structurally precise dendrimers with macromolecular generations, 10.1039/b618544b
  96. Higashihara Tomoya, Sugiyama Kenji, Yoo Hee-Soo, Hayashi Mayumi, Hirao Akira, Combining Living Anionic Polymerization with Branching Reactions in an Iterative Fashion to Design Branched Polymers, 10.1002/marc.200900773
  97. Hadjichristidis Nikos, Pitsikalis Marinos, Pispas Stergios, Iatrou Hermis, Polymers with Complex Architecture by Living Anionic Polymerization, 10.1021/cr9901337
  98. Koutalas Giorgos, Iatrou Hermis, Lohse David J., Hadjichristidis Nikos, Well-Defined Comb, Star−Comb, and Comb-on-Comb Polybutadienes by Anionic Polymerization and the Macromonomer Strategy, 10.1021/ma047333r
  99. Kimani Solomon M., Hutchings Lian R., A Facile Route to Synthesize Well-Defined Polybutadiene DendriMacs, 10.1002/marc.200700851
  100. Hirao Akira, Matsuo Akira, Watanabe Takumi, Precise Synthesis of Dendrimer-like Star-Branched Poly(methyl methacrylate)s up to Seventh Generation by an Iterative Divergent Approach Involving Coupling and Transformation Reactions, 10.1021/ma050762k
  101. Feng Xiao-Shuang, Taton Daniel, Chaikof Elliot L., Gnanou Yves, Toward an Easy Access to Dendrimer-like Poly(ethylene oxide)s, 10.1021/ja0509432
  102. Trollsås Mikael, Hedrick James L., Dendrimer-like Star Polymers, 10.1021/ja973678w
  103. Urbani Carl N., Bell Craig A., Lonsdale Daria, Whittaker Michael R., Monteiro Michael J., Self-Assembly of Amphiphilic Polymeric Dendrimers Synthesized with Selective Degradable Linkages, 10.1021/ma701993w
  104. Gao Haifeng, Matyjaszewski Krzysztof, Synthesis of Star Polymers by a Combination of ATRP and the “Click” Coupling Method, 10.1021/ma060926c
  105. Slot J. J. M., van Ruymbeke E., Steeman P. A. M., Composition and rheology of polyamide-6 obtained by using bi- and tri-functional coupling agents, 10.1007/s10118-013-1214-y
  106. Durand Dominique, Bruneau Claude-Marcel, Graph Theory and Molecular Distribution. 2. Copolycondensation of A-Group Polyfunctional Monomers with B-Group Polyfunctional Monomers, 10.1021/ma60072a040
  107. Fradet Alain, Tessier Martine, Average Degrees of Polymerization and Molar Masses of Branched and Hyperbranched Condensation Polymers:  Recursive Probability Approach, 10.1021/ma060694h
  108. Hillegers L. Tom, Kapnistos Michael, Nijenhuis Atze, Slot Johan J. M., Steeman Paul A. M., Monte Carlo Simulation of Randomly Branched Step-Growth Polymers: Generation and Analysis of Representative Molecular Ensembles, 10.1002/mats.201000071
  109. Steeman Paul, Nijenhuis Atze, The effect of random branching on the balance between flow and mechanical properties of polyamide-6, 10.1016/j.polymer.2010.04.017
  110. Zimm Bruno H., Stockmayer Walter H., The Dimensions of Chain Molecules Containing Branches and Rings, 10.1063/1.1747157
  111. Wood-Adams Paula, Costeux Stéphane, Thermorheological Behavior of Polyethylene:  Effects of Microstructure and Long Chain Branching, 10.1021/ma0017034
  112. Costeux Stephane, Wood-Adams Paula, Beigzadeh Daryoosh, Molecular Structure of Metallocene-Catalyzed Polyethylene:  Rheologically Relevant Representation of Branching Architecture in Single Catalyst and Blended Systems, 10.1021/ma011432c
  113. Tobita Hidetaka, Simultaneous long-chain branching and random scission: I. Monte Carlo simulation, 10.1002/1099-0488(20010115)39:4<391::aid-polb1011>;2-3
  114. Read D. J., McLeish T. C. B., Molecular Rheology and Statistics of Long Chain Branched Metallocene-Catalyzed Polyolefins, 10.1021/ma001483u
  115. Wang Wen-Jun, Kharchenko Semen, Migler Kalman, Zhu Shiping, Triple-detector GPC characterization and processing behavior of long-chain-branched polyethylene prepared by solution polymerization with constrained geometry catalyst, 10.1016/j.polymer.2004.07.035
  116. Burchard Walther, Solution Properties of Branched Macromolecules, Branched Polymers II ISBN:9783540650058 p.113-194, 10.1007/3-540-49780-3_3
  117. Jackson Christian, Chen Yuan-Ju, Mays Jimmy W., Size exclusion chromatography with multiple detectors: Solution properties of linear chains of varying flexibility in tetrahydrofuran, 10.1002/(sici)1097-4628(19960801)61:5<865::aid-app20>;2-v
  118. Ryu Jinsook, Im Kyuhyun, Yu Wonjae, Park Jaiwook, Chang Taihyun, Lee Kwanyoung, Choi Namsun, Molecular Weight Distribution of Branched Polystyrene:  Propagation of Poisson Distribution, 10.1021/ma049064a
  119. Ngai K. L., Plazek D. J., Identification of Different Modes of Molecular Motion in Polymers That Cause Thermorheological Complexity, 10.5254/1.3538749
  120. Wood-Adams Paula M., Dealy John M., Using Rheological Data To Determine the Branching Level in Metallocene Polyethylenes, 10.1021/ma991534r
  121. Edwards, Polymer, 9, 140 (1977)
  122. Doi Masao, Explanation for the 3.4 power law of viscosity of polymeric liquids on the basis of the tube model, 10.1002/pol.1981.130190507
  123. Doi Masao, Explanation for the 3.4-power law for viscosity of polymeric liquids on the basis of the tube model, 10.1002/pol.1983.180210501
  124. Doi M., Graessley W. W., Helfand E., Pearson D. S., Dynamics of polymers in polydisperse melts, 10.1021/ma00174a035
  125. de Gennes P. G., Reptation of a Polymer Chain in the Presence of Fixed Obstacles, 10.1063/1.1675789
  126. Larson R. G., Sridhar T., Leal L. G., McKinley G. H., Likhtman A. E., McLeish T. C. B., Definitions of entanglement spacing and time constants in the tube model, 10.1122/1.1567750
  127. Fetters L. J., Lohse D. J., Richter D., Witten T. A., Zirkel A., Connection between Polymer Molecular Weight, Density, Chain Dimensions, and Melt Viscoelastic Properties, 10.1021/ma00095a001
  128. Fetters Lewis J., Lohse David J., Graessley William W., Chain dimensions and entanglement spacings in dense macromolecular systems, 10.1002/(sici)1099-0488(19990515)37:10<1023::aid-polb7>;2-t
  129. Liu Chenyang, He Jiasong, Ruymbeke Evelyne van, Keunings Roland, Bailly Christian, Evaluation of different methods for the determination of the plateau modulus and the entanglement molecular weight, 10.1016/j.polymer.2006.04.054
  130. McLeish T. C. B., Larson R. G., Molecular constitutive equations for a class of branched polymers: The pom-pom polymer, 10.1122/1.550933
  131. Münstedt Helmut, Auhl Dietmar, Rheological measuring techniques and their relevance for the molecular characterization of polymers, 10.1016/j.jnnfm.2005.03.011
  132. Takeh Arsia, Worch Joshua, Shanbhag Sachin, Analytical Rheology of Metallocene-Catalyzed Polyethylenes, 10.1021/ma2004772
  133. Kapnistos M., Lang M., Vlassopoulos D., Pyckhout-Hintzen W., Richter D., Cho D., Chang T., Rubinstein M., Unexpected power-law stress relaxation of entangled ring polymers, 10.1038/nmat2292
  134. van Ruymbeke E., Vlassopoulos D., Mierzwa M., Pakula T., Charalabidis D., Pitsikalis M., Hadjichristidis N., Rheology and Structure of Entangled Telechelic Linear and Star Polyisoprene Melts, 10.1021/ma902769s
  135. Stadler Florian J., Pyckhout-Hintzen Wim, Schumers Jean-Marc, Fustin Charles-André, Gohy Jean-François, Bailly Christian, Linear Viscoelastic Rheology of Moderately Entangled Telechelic Polybutadiene Temporary Networks, 10.1021/ma802488a
  136. Dealy, Rheol. Bull., 78, 16 (2009)
  137. Snijkers Frank, Vlassopoulos Dimitris, Lee Hyojoon, Yang Jinseok, Chang Taihyun, Driva Paraskevi, Hadjichristidis Nikos, Start-up and relaxation of well-characterized comb polymers in simple shear, 10.1122/1.4804198
  138. Snijkers F., Vlassopoulos D., Ianniruberto G., Marrucci G., Lee H., Yang J., Chang T., Double Stress Overshoot in Start-Up of Simple Shear Flow of Entangled Comb Polymers, 10.1021/mz400236z