caa a22 4500 605466491 CHVBK 20210128100307.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00397-015-0836-0 doi (NATIONALLICENCE)springer-10.1007/s00397-015-0836-0 Analytic slip-link expressions for universal dynamic modulus predictions of linear monodisperse polymer melts [Elektronische Daten] [Maria Katzarova, Ling Yang, Marat Andreev, Andrés Córdoba, Jay Schieber] The discrete slip-link model (DSM) is a robust mesoscopic theory that has great success predicting the rheology of flexible entangled polymer liquids and gels. In the most coarse-grained version of the DSM, we exploit heavily the universality observed in the shape of the relaxation modulus of linear monodisperse melts. For this type of polymer, we present here analytic expressions for the relaxation modulus. The high-frequency dynamics which are typically coarse-grained out from the DSM are added back into these expressions by using a Rouse chain with fixed ends to represent the fast motion of Kuhn steps between entanglements. We find consistency in the friction used for both fast and slow modes. We test these expressions against experimental data for three chemistries and molecular weights with good agreement. Using these analytic expressions, the polymer density, the molecular weight of a Kuhn step, M K, and the low-frequency cross-over between the storage and loss moduli, G ′ $G^{\prime }$ and G ′′ $G^{\prime \prime }$ , it is now straightforward to estimate model parameter values and obtain predictions over the experimentally accessible frequency range without performing expensive numerical calculations. Springer-Verlag Berlin Heidelberg, 2015 Polymer melt nationallicence Dynamic moduli nationallicence Rouse theory nationallicence Relaxation modulus nationallicence Modelling nationallicence Rheology nationallicence Katzarova Maria Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut Yang Ling Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut Andreev Marat Department of Physics Illinois, Institute of Technology, 3101 S. Dearborn St., 60616, Chicago, IL, USA aut Córdoba Andrés Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut Schieber Jay Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut Rheologica Acta Springer Berlin Heidelberg 54/3(2015-03-01), 169-183 0035-4511 54:3<169 2015 54 397 https://doi.org/10.1007/s00397-015-0836-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00397-015-0836-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Katzarova Maria Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut NATIONALLICENCE 700 1- Yang Ling Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut NATIONALLICENCE 700 1- Andreev Marat Department of Physics Illinois, Institute of Technology, 3101 S. Dearborn St., 60616, Chicago, IL, USA aut NATIONALLICENCE 700 1- Córdoba Andrés Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut NATIONALLICENCE 700 1- Schieber Jay Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St., 60616, Chicago, IL, USA aut NATIONALLICENCE 773 0- Rheologica Acta Springer Berlin Heidelberg 54/3(2015-03-01), 169-183 0035-4511 54:3<169 2015 54 397