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Rheologica Acta

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23.11.2017 | Original Contribution

An empirical constitutive model for complex glass-forming liquids using bitumen as a model material

verfasst von: Olli-Ville Laukkanen, H. Henning Winter, Hilde Soenen, Jukka Seppälä

Erschienen in: Rheologica Acta | Ausgabe 1/2018

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Abstract

While extensive research efforts have been devoted to understand the dynamics of chemically and structurally simple glass-forming liquids (SGFLs), the viscoelasticity of chemically and structurally complex glass-forming liquids (CGFLs) has received only little attention. This study explores the rheological properties of CGFLs in the vicinity of the glass transition. Bitumen is selected as the model material for CGFLs due to its extremely complex chemical composition and microstructure, fast physical aging and thermorheological simplicity, and abundant availability. A comprehensive rheological analysis reveals a significant broadening of the glass transition dynamics in bitumen as compared to SGFLs. In particular, the relaxation time spectrum of bitumen is characterized by a broad distribution of long relaxation modes. This observation leads to the development of a new constitutive equation, named the broadened power-law spectrum model. In this model, the wide distribution of long relaxation times is described by a power-law with positive exponent and a stretched exponential cut-off, with parameter β serving as a measure of the broadness of the distribution. This characteristic shape of the bitumen spectrum is attributed to the heterogeneous freezing of different molecular components of bitumen, i.e., to the coexistence of liquid and glassy micro-phases. Furthermore, as this type of heterogeneous glass transition behavior can be considered as a general feature of complex glass-forming systems, the broadened power-law spectrum model is expected to be valid for all types of CGFLs. Examples of the applicability of this model in various complex glass-forming systems are given.

Vorheriger Artikel Entanglement properties of carboxymethyl cellulose and related polysaccharides

Nächster Artikel Selection of ethylene-vinyl-acetate properties for modified bitumen with enhanced end-performance

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Akay M, Rollins S (1993) Transition broadening and WLF relationship in polyurethane/poly (methyl methacrylate) interpenetrating polymer networks. Polymer 34(5):967–971. https://doi.org/10.1016/0032-3861(93)90215-VCrossRef

Angell C, Richards B, Velikov V (1999) Simple glass-forming liquids: their definition, fragilities, and landscape excitation profiles. J Phys Condens Matter 11(10A):A75–A94. https://doi.org/10.1088/0953-8984/11/10A/005CrossRef

Angell CA, Ngai KL, McKenna GB, McMillan PF, Martin SW (2000) Relaxation in Glassforming liquids and amorphous solids. J Appl Phys 88(6):3113–3157. https://doi.org/10.1063/1.1286035CrossRef

Baumgaertel M, Winter HH (1989) Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Rheol Acta 28(6):511–519. https://doi.org/10.1007/BF01332922CrossRef

Baumgaertel M, Winter HH (1992) Interrelation between continuous and discrete relaxation time spectra. J Non-Newtonian Fluid Mech 44:15–36. https://doi.org/10.1016/0377-0257(92)80043-W

Baumgaertel M, Schausberger A, Winter HH (1990) The relaxation of polymers with linear flexible chains of uniform length. Rheol Acta 29(5):400–408. https://doi.org/10.1007/BF01376790CrossRef

Bengtzelius U, Gotze W, Sjolander A (1984) Dynamics of Supercooled liquids and the glass transition. J Phys C 17(33):5915–5934. https://doi.org/10.1088/0022-3719/17/33/005CrossRef

Berry GC, Plazek DJ (1997) On the use of stretched-exponential functions for both linear viscoelastic creep and stress relaxation. Rheol Acta 36(3):320–329. https://doi.org/10.1007/BF00366673CrossRef

Böhmer R, Ngai K, Angell C, Plazek D (1993) Nonexponential relaxations in strong and fragile glass formers. J Chem Phys 99(5):4201–4209. https://doi.org/10.1063/1.466117CrossRef

Booij HC, Palmen JHM (1992) Linear viscoelastic properties of melts of miscible blends of poly (Methylmethacrylate) with poly (ethylene oxide). In: Moldenaers P, Keunings R (eds) Theoretical and applied rheology. Elsevier, Brussels, pp 321–323. https://doi.org/10.1016/B978-0-444-89007-8.50132-5CrossRef

Christensen T, Olsen NB (1995) A Rheometer for the measurement of a high shear modulus covering more than seven decades of frequency below 50 kHz. Rev Sci Instrum 66(10):5019–5031. https://doi.org/10.1063/1.1146126CrossRef

Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics I. Alternating current characteristics. J Chem Phys 9(4):341–351. https://doi.org/10.1063/1.1750906CrossRef

Dannert R, Sanctuary R, Thomassey M, Elens P, Krüger JK, Baller J (2014) Strain-induced low-frequency relaxation in colloidal DGEBA/SiO2 suspensions. Rheol Acta 53(9):715–723. https://doi.org/10.1007/s00397-014-0788-9CrossRef

Davidson D, Cole R (1950) Dielectric relaxation in Glycerine. J Chem Phys 18(10):1417–1417. https://doi.org/10.1063/1.1747496CrossRef

Davidson DW, Cole RH (1951) Dielectric relaxation in glycerol, propylene glycol, and N-propanol. J Chem Phys 19(12):1484–1490. https://doi.org/10.1063/1.1748105CrossRef

Dealy J, Plazek D (2009) Time-temperature superposition—a users guide. Rheol Bull 78(2):16–31

Donth E (2001) The glass transition: relaxation dynamics in liquids and disordered materials. Springer, Berlin. https://doi.org/10.1007/978-3-662-04365-3CrossRef

Dyre JC (2006) Colloquium: the glass transition and elastic models of glass-forming liquids. Rev Mod Phys 78(3):953–972. https://doi.org/10.1103/RevModPhys.78.953CrossRef

Efremov MY, Olson EA, Zhang M, Zhang Z, Allen LH (2003) Glass transition in ultrathin polymer films: calorimetric study. Phys Rev Lett 91(8):085703. https://doi.org/10.1103/PhysRevLett.91.085703CrossRef

Elmatad YS, Chandler D, Garrahan JP (2009) Corresponding states of structural glass formers. J Phys Chem B 113(16):5563–5567. https://doi.org/10.1021/jp810362gCrossRef

Elmatad Y, Chandler D, Garrahan J (2010) Corresponding states of structural glass formers. II. J Phys Chem B 114(51):17113–17119. https://doi.org/10.1021/jp1076438CrossRef

Eschrich H (1980) Properties and long-term behaviour of bitumen and radioactive waste-bitumen mixtures. Karnbranslesakerhet, Svensk Karnbransleforsorjning AB/Projekt

Ferry JD (1980) Viscoelastic properties of polymers. John Wiley & Sons, New York

Forrest JA, Dalnoki-Veress K (2001) The glass transition in thin polymer films. Adv Colloid Interf Sci 94(1):167–195. https://doi.org/10.1016/S0001-8686(01)00060-4CrossRef

Friedrich C, Braun H (1992) Generalized Cole-Cole behavior and its rheological relevance. Rheol Acta 31(4):309–322. https://doi.org/10.1007/BF00418328CrossRef

Fukao K, Miyamoto Y (2000) Glass transitions and dynamics in thin polymer films: dielectric relaxation of thin films of polystyrene. Phys Rev E Stat Nonlinear Soft Matter Phys 61(2):1743–1754. https://doi.org/10.1103/PhysRevE.61.1743CrossRef

Fukao K, Miyamoto Y (2001) Slow dynamics near glass transitions in thin polymer films. Phys Rev E Stat Nonlinear Soft Matter Phys 64(1):011803. https://doi.org/10.1103/PhysRevE.64.011803CrossRef

Götze W (1999) Recent tests of the mode-coupling theory for glassy dynamics. J Phys Condens Matter 11(10A):A1–A45. https://doi.org/10.1088/0953-8984/11/10A/002CrossRef

Götze W, Sjögren L (1992) Relaxation processes in Supercooled liquids. Rep Prog Phys 55(3):241–370. https://doi.org/10.1088/0034-4885/55/3/001CrossRef

Hansen C, Stickel F, Berger T, Richert R, Fischer EW (1997) Dynamics of glass-forming liquids. III. Comparing the dielectric Α-and Β-relaxation of 1-propanol and Ο-Terphenyl. J Chem Phys 107(4):1086–1093. https://doi.org/10.1063/1.474456CrossRef

Hansen C, Stickel F, Richert R, Fischer EW (1998) Dynamics of glass-forming liquids. IV. True activated behavior above 2 GHz in the dielectric Α-relaxation of organic liquids. J Chem Phys 108(15):6408–6415. https://doi.org/10.1063/1.476063CrossRef

Havriliak S, Negami S (1966) A complex plane analysis of Α-dispersions in some polymer systems. J Polym Sci C 14(1):99–117. https://doi.org/10.1002/polc.5070140111

Havriliak S, Negami S (1967) A complex plane representation of dielectric and mechanical relaxation processes in some polymers. Polymer 8:161–210. https://doi.org/10.1016/0032-3861(67)90021-3CrossRef

Hecksher T, Nielsen AI, Olsen NB, Dyre JC (2008) Little evidence for dynamic divergences in Ultraviscous molecular liquids. Nat Phys 4(9):737–741. https://doi.org/10.1038/nphys1033CrossRef

Hecksher T, Olsen NB, Nelson KA, Dyre JC, Christensen T (2013) Mechanical Spectra of Glass-Forming Liquids. I. Low-Frequency Bulk and Shear Moduli of DC704 and 5-PPE Measured by Piezoceramic Transducers. J Chem Phys 138(12):12A543. https://doi.org/10.1063/1.4789946

Hutcheson S, McKenna G (2008) The measurement of mechanical properties of glycerol, m-toluidine, and sucrose benzoate under consideration of corrected Rheometer compliance: an in-depth study and review. J Chem Phys 129(7):074502. https://doi.org/10.1063/1.2965528CrossRef

Igarashi B, Christensen T, Larsen EH, Olsen NB, Pedersen IH, Rasmussen T, Dyre JC (2008) A cryostat and temperature control system optimized for measuring relaxations of glass-forming liquids. Rev Sci Instrum 79(4):045105. https://doi.org/10.1063/1.2903419CrossRef

Johari G, Sartor G (1998) Thermodynamic and kinetic features of Vitrification and phase transformations of proteins and other constituents of dry and hydrated soybean, a high protein cereal. In: Reid DS (ed) The properties of water in foods ISOPOW 6. Springer, Berlin, pp 103–138. https://doi.org/10.1007/978-1-4613-0311-4_5CrossRef

Kaelble DH (1985) Computer aided Design of Polymers and Composites. Marcel Dekker, New York, pp 145–147

Katayama DS, Carpenter JF, Manning MC, Randolph TW, Setlow P, Menard KP (2008) Characterization of amorphous solids with weak glass transitions using high ramp rate differential scanning Calorimetry. J Pharm Sci 97(2):1013–1024. https://doi.org/10.1002/jps.20991CrossRef

Khodadadi S, Malkovskiy A, Kisliuk A, Sokolov A (2010) A broad glass transition in hydrated proteins. Biochim Biophys Acta, Proteins Proteomics 1804(1):15–19. https://doi.org/10.1016/j.bbapap.2009.05.006CrossRef

Kim J, Mok MM, Sandoval RW, Woo DJ, Torkelson JM (2006) Uniquely broad glass transition temperatures of gradient copolymers relative to random and block copolymers containing repulsive Comonomers. Macromolecules 39(18):6152–6160. https://doi.org/10.1021/ma061241fCrossRef

Kohlrausch R (1854) Theorie Des Elektrischen Rückstandes in Der Leidener Flasche. Ann Phys (Berlin) 167(2):179–214. https://doi.org/10.1002/andp.18541670203CrossRef

Langer JS (2007) The mysterious glass transition. Phys Today 60(2):8–9. https://doi.org/10.1063/1.2711621CrossRef

Laukkanen OV (2017) Small-diameter parallel plate Rheometry: a simple technique for measuring rheological properties of glass-forming liquids in shear. Rheol Acta 56(7-8):661–671. https://doi.org/10.1007/s00397-017-1020-5CrossRef

Le Bourhis E (2008) Glass rheology. In: Le Bourhis E (ed) Glass: mechanics and technology. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, pp 83–134

Lesueur D (1999) Letter to the editor: on the Thermorheological complexity and relaxation modes of asphalt cements. J Rheol 43(6):1701–1704. https://doi.org/10.1122/1.551068CrossRef

Lesueur D (2009) The colloidal structure of bitumen: consequences on the rheology and on the mechanisms of bitumen modification. Adv Colloid Interf Sci 145(1):42–82. https://doi.org/10.1016/j.cis.2008.08.011CrossRef

Lesueur D, Gerard J, Claudy P, Letoffe J, Planche J, Martin D (1996) A structure-related model to describe asphalt linear viscoelasticity. J Rheol 40(5):813–836. https://doi.org/10.1122/1.550764CrossRef

Liang C, Sun W, Wang T, Liu X, Tong Z (2016) Rheological inversion of the universal aging dynamics of hectorite clay suspensions. Colloids Surf Physicochem Eng Asp 490:300–306. https://doi.org/10.1016/j.colsurfa.2015.11.048CrossRef

Lindsey C, Patterson G (1980) Detailed comparison of the Williams–watts and Cole–Davidson functions. J Chem Phys 73(7):3348–3357. https://doi.org/10.1063/1.440530CrossRef

Lodge TP, McLeish TC (2000) Self-concentrations and effective glass transition temperatures in polymer blends. Macromolecules 33(14):5278–5284. https://doi.org/10.1021/ma9921706CrossRef

Lunkenheimer P, Schneider U, Brand R, Loid A (2000) Glassy dynamics. Contemp Phys 41(1):15–36. https://doi.org/10.1080/001075100181259CrossRef

Maggi C, Jakobsen B, Christensen T, Olsen NB, Dyre JC (2008) Supercooled liquid dynamics studied via shear-mechanical spectroscopy. J Phys Chem B 112(51):16320–16325. https://doi.org/10.1021/jp805097rCrossRef

Marin G (1988) Oscillatory Rheometry. In: Collyer AA, Clegg DW (eds) Rheological measurements. Elsevier, London, pp 297–343

Masson J, Polomark G, Collins P (2005) Glass transitions and amorphous phases in SBS–bitumen blends. Thermochim Acta 436(1):96–100. https://doi.org/10.1016/j.tca.2005.02.017CrossRef

Masson J, Leblond V, Margeson J, Bundalo-Perc S (2007) Low-temperature bitumen stiffness and viscous paraffinic Nano-and micro-domains by cryogenic AFM and PDM. J Microsc 227(3):191–202. https://doi.org/10.1111/j.1365-2818.2007.01796.xCrossRef

Mauro JC, Yue Y, Ellison AJ, Gupta PK, Allan DC (2009) Viscosity of Glass-Forming Liquids. Proc Natl Acad Sci U S A 106(47):19780–19784. https://doi.org/10.1073/pnas.0911705106CrossRef

McKenna GB (2008) Glass dynamics: diverging views on glass transition. Nat Phys 4(9):673–673. https://doi.org/10.1038/nphys1063CrossRef

McKenna GB (2009) A brief discussion: thermodynamic and dynamic fragilities, non-divergent dynamics and the Prigogine–Defay ratio. J Non-Cryst Solids 355(10):663–671. https://doi.org/10.1016/j.jnoncrysol.2008.11.023CrossRef

McKenna GB (2012) Physical aging in glasses and composites. In: Pochiraju KV, Tandon G, Schoeppner GA (eds) Long-term durability of polymeric matrix composites. Springer, Berlin, pp 237–309. https://doi.org/10.1007/978-1-4419-9308-3_7CrossRef

McKenna GB, Zhao J (2015) Accumulating evidence for non-diverging time-scales in glass-forming fluids. J Non-Cryst Solids 407:3–13. https://doi.org/10.1016/j.jnoncrysol.2014.08.012CrossRef

Miaudet P, Derre A, Maugey M, Zakri C, Piccione PM, Inoubli R, Poulin P (2007) Shape and temperature memory of Nanocomposites with broadened glass transition. Science 318(5854):1294–1296. https://doi.org/10.1126/science.1145593CrossRef

Mills J (1974) Low frequency storage and loss moduli of soda-silica glasses in the transformation range. J Non-Cryst Solids 14(1):255–268. https://doi.org/10.1016/0022-3093(74)90034-9CrossRef

Miwa Y, Usami K, Yamamoto K, Sakaguchi M, Sakai M, Shimada S (2005) Direct detection of effective glass transitions in miscible polymer blends by temperature-modulated differential scanning Calorimetry. Macromolecules 38(6):2355–2361. https://doi.org/10.1021/ma0480401CrossRef

Mok MM, Kim J, Torkelson JM (2008) Gradient copolymers with broad glass transition temperature regions: Design of Purely Interphase Compositions for damping applications. J Polym Sci Part B Polym Phys 46(1):48–58. https://doi.org/10.1002/polb.21341CrossRef

Mok MM, Kim J, Wong CL, Marrou SR, Woo DJ, Dettmer CM, Nguyen ST, Ellison CJ, Shull KR, Torkelson JM (2009) Glass transition breadths and composition profiles of weakly, moderately, and strongly segregating gradient copolymers: experimental results and calculations from self-consistent mean-field theory. Macromolecules 42(20):7863–7876. https://doi.org/10.1021/ma9009802CrossRef

Mours M, Winter H (1994) Time-resolved Rheometry. Rheol Acta 33(5):385–397. https://doi.org/10.1007/BF00366581CrossRef

Ngai KL, Plazek DJ, Rendell RW (1997) Some examples of possible descriptions of dynamic properties of polymers by means of the coupling model. Rheol Acta 36(3):307–319. https://doi.org/10.1007/BF00366672CrossRef

Pazmiño Betancourt BA, Douglas JF, Starr FW (2014) String model for the dynamics of glass-forming liquids. J Chem Phys 140(20):204509. https://doi.org/10.1063/1.4878502CrossRef

Plazek DJ, Magill JH (1966) Physical properties of aromatic hydrocarbons. I. Viscous and viscoelastic behavior of 1: 3: 5-tri-α-Naphthyl benzene. J Chem Phys 45(8):3038–3050. https://doi.org/10.1063/1.1728059CrossRef

Qin Q, Schabron JF, Boysen RB, Farrar MJ (2014) Field aging effect on chemistry and rheology of asphalt binders and rheological predictions for field aging. Fuel 121:86–94. https://doi.org/10.1016/j.fuel.2013.12.040CrossRef

Redelius P, Soenen H (2015) Relation between bitumen chemistry and performance. Fuel 140:34–43. https://doi.org/10.1016/j.fuel.2014.09.044CrossRef

Richert R, Angell C (1998) Dynamics of glass-forming liquids. V. On the link between molecular dynamics and Configurational entropy. J Chem Phys 108(21):9016–9026. https://doi.org/10.1063/1.476348CrossRef

Rossiter J, Takashima K, Mukai T (2012) Shape memory properties of ionic polymer–metal composites. Smart Mater Struct 21(11):112002. https://doi.org/10.1088/0964-1726/21/11/112002CrossRef

Rouilly A, Orliac O, Silvestre F, Rigal L (2001) DSC study on the thermal properties of sunflower proteins according to their water content. Polymer 42(26):10111–10117. https://doi.org/10.1016/S0032-3861(01)00555-9CrossRef

Rowe GM, Sharrock M (2011) Alternate shift factor relationship for describing temperature dependency of viscoelastic behavior of asphalt materials. Trans Res Rec 2207(1):125–135. https://doi.org/10.3141/2207-16CrossRef

Sauer BB, Hsiao BS (1993) Broadening of the glass transition in blends of poly (aryl ether ketones) and a poly (ether imide) as studied by thermally stimulated currents. J Polym Sci Part B Polym Phys 31(8):917–932. https://doi.org/10.1002/polb.1993.090310802CrossRef

Schröter K, Donth E (2000) Viscosity and shear response at the dynamic glass transition of glycerol. J Chem Phys 113(20):9101–9108. https://doi.org/10.1063/1.1319616CrossRef

Schröter K, Hutcheson S, Shi X, Mandanici A, McKenna G (2006) Dynamic shear modulus of glycerol: corrections due to instrument compliance. J Chem Phys 125(21):214507. https://doi.org/10.1063/1.2400862CrossRef

Shi P, Schach R, Munch E, Montes H, Lequeux F (2013) Glass transition distribution in miscible polymer blends: from Calorimetry to rheology. Macromolecules 46(9):3611–3620. https://doi.org/10.1021/ma400417fCrossRef

Soenen H, Redelius P (2014) The effect of aromatic interactions on the elasticity of bituminous binders. Rheol Acta 53(9):741–754. https://doi.org/10.1007/s00397-014-0792-0CrossRef

Soenen H, Lu X, Laukkanen O (2016) Oxidation of bitumen: molecular characterization and influence on rheological properties. Rheol Acta 55(4):315–326. https://doi.org/10.1007/s00397-016-0919-6CrossRef

Sperling L, Fay J (1991) Factors which affect the glass transition and damping capability of polymers. Polym Adv Technol 2(1):49–56. https://doi.org/10.1002/pat.1991.220020107CrossRef

Sperling L, Chiu T, Thomas D (1973) Glass transition behavior of latex interpenetrating polymer networks based on Methacrylic/acrylic pairs. J Appl Polym Sci 17(8):2443–2455. https://doi.org/10.1002/app.1973.070170811CrossRef

Stadler FJ, Chen S, Chen S (2015) On “modulus shift” and Thermorheological complexity in Polyolefins. Rheol Acta 54(8):695–704. https://doi.org/10.1007/s00397-015-0864-9CrossRef

Stickel F, Fischer EW, Richert R (1995) Dynamics of glass-forming liquids. I. Temperature-derivative analysis of dielectric relaxation data. J Chem Phys 102(15):6251–6257. https://doi.org/10.1063/1.469071CrossRef

Stickel F, Fischer EW, Richert R (1996) Dynamics of glass-forming liquids. II. Detailed comparison of dielectric relaxation, dc-conductivity, and viscosity data. J Chem Phys 104(5):2043–2055. https://doi.org/10.1063/1.470961CrossRef

Struik L (1977) Physical aging in amorphous polymers and other materials. Dissertation, Delft University of Technology

Tabatabaee HA, Velasquez R, Bahia HU (2012) Predicting low temperature physical hardening in asphalt binders. Constr Build Mater 34:162–169. https://doi.org/10.1016/j.conbuildmat.2012.02.039CrossRef

van Gurp M, Palmen J (1998) Time-temperature superposition for polymeric blends. Rheol Bull 67(1):5–8

Williams G, Watts DC (1970) Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function. Trans Faraday Soc 66:80–85. https://doi.org/10.1039/tf9706600080CrossRef

Winter HH (2013) Glass transition as the rheological inverse of gelation. Macromolecules 46(6):2425–2432. https://doi.org/10.1021/ma400086vCrossRef

Winter HH, Mours M (2006) The cyber infrastructure Initiative for Rheology. Rheol Acta 45(4):331-338. https://doi.org/10.1007/s00397-005-0041-7

Winter HH, Siebenbürger M, Hajnal D, Henrich O, Fuchs M, Ballauff M (2009) An empirical constitutive law for concentrated colloidal suspensions in the approach of the glass transition. Rheol Acta 48(7):747–753. https://doi.org/10.1007/s00397-009-0377-5CrossRef

Wong CL, Kim J, Torkelson JM (2007) Breadth of glass transition temperature in styrene/acrylic acid block, random, and gradient copolymers: unusual sequence distribution effects. J Polym Sci Part B Polym Phys 45(20):2842–2849. https://doi.org/10.1002/polb.21296CrossRef

Xie T (2010) Tunable polymer multi-shape memory effect. Nature 464(7286):267–270. https://doi.org/10.1038/nature08863CrossRef

Zanzotto L, Stastna J (1997) Dynamic master curves from the stretched exponential relaxation modulus. J Polym Sci Part B Polym Phys 35(8):1225–1232. https://doi.org/10.1002/(SICI)1099-0488(199706)35:8<1225::AID-POLB8>3.0.CO;2-SCrossRef

Zhao J, Simon SL, McKenna GB (2013) Using 20-million-year-old amber to test the super-Arrhenius behaviour of glass-forming systems. Nat Commun 4:1783. https://doi.org/10.1038/ncomms2809CrossRef

Zorn R (1999) Applicability of distribution functions for the Havriliak–Negami spectral function. J Polym Sci Part B Polym Phys 37(10):1043–1044. https://doi.org/10.1002/(SICI)1099-0488(19990515)37:10<1043::AID-POLB9>3.0.CO;2-HCrossRef

Titel: An empirical constitutive model for complex glass-forming liquids using bitumen as a model material
verfasst von: Olli-Ville Laukkanen
H. Henning Winter
Hilde Soenen
Jukka Seppälä
Publikationsdatum: 23.11.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Rheologica Acta / Ausgabe 1/2018
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-017-1056-6

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