We have developed a novel Hierarchical Multi-mode Molecular Stress Function (HMMSF) model for linear and long-chain branched (LCB) polymer melts implementing the basic ideas of (i) hierarchical relaxation, (ii) dynamic dilution, (iii) interchain tube pressure, and (iv) convective constraint release. The excellent predictions of this model were demonstrated in uniaxial, equibiaxial, and planar extensional deformation for linear and LCB melts, as well as in shear flow for a LCB polymer, with a minimum number of adjustable free nonlinear material parameters, i.e. one in the case of extensional flows, and two in shear flow.
REFERENCES
1.
E.
Narimissa
, V. H.
Rolón-Garrido
and M. H.
Wagner
, Rheol. Acta
54
(9-10
), 779
–791
(2015
).2.
E.
Narimissa
, V. H.
Rolón-Garrido
and M. H.
Wagner
, Rheol. Acta
55
(4
), 327
–333
(2016
).3.
E.
Narimissa
and M. H.
Wagner
, J. Rheol.
60
(4
), 625
–636
(2016
).4.
E.
Narimissa
and M. H.
Wagner
, Polymer
t04
, 204
–214
(2016
).5.
E.
Narimissa
and M. H.
Wagner
, Rheol. Acta
55
(8
), 633
–639
(2016
).6.
E.
Narimissa
and M. H.
Wagner
, Polymer Engineering & Science
(2018
).7.
P.
Revenu
, J.
Guillet
and C.
Carrot
, J. Rheology
37
(6
), 1041
–1056
(1993
).8.
J.
Sampers
and P. J. R.
Leblans
, J. Non-Newtonian Fluid Mech.
30
(2-3
), 325
–342
(1988
).9.
M.
Gupta
, Adv. Polym. Tech.
2t
(2
), 98
–107
(2002
).10.
M.
Padmanabhan
and C. W.
Macosko
, Rheol. Acta
36
(2
), 144
–151
(1997
).11.
K. H.
Soon
, E.
Harkin-Jones
, R. S.
Rajeev
, G.
Menary
, T.
McNally
, P. J.
Martin
and C.
Armstrong
, Polym. Inter.
58
(10
), 1134
–1141
(2009
).12.
J.
Meissner
and J.
Hostettler
, Rheologica Acta
33
(1
), 1
–21
(1994
).13.
E.
Narimissa
, R. K.
Gupta
, N.
Kao
, D. A.
Nguyen
and S. N.
Bhattacharya
, Macromolecular Materials & Engineering
299
(7
), 851
–868
(2014
).14.
J. M.
Dealy
and R. G.
Larson
, Structure and Rheology of Molten Polymers - From Structure to Flow Behavior and Back Again
. (Hanser Publishers
, Munich
, 2006
).15.
M.
Doi
and S. F.
Edwards
, The Theory of Polymer Dynamics
. (Oxford University Press
, Oxford
, 1986
).16.
M. H.
Wagner
, S.
Kheirandish
and O.
Hassager
, J. Rheol.
49
(6
), 1317
–1327
(2005
).17.
G.
Ianniruberto
and G.
Marrucci
, J. Non-Newtonian Fluid Mech.
65
(2
), 241
–246
(1996
).18.
19.
P.
Hachmann
and J.
Meissner
, J. Rheol.
47
(4
), 989
–1010
(2003
).20.
H.
Bastian
, “Non-linear viscoelasticity of linear and long-chain-branched polymer melts in shear and extensional flows
,” Universität Stuttgart
, 2001
.21.
M.
Kraft
, “Untersuchungen zur scherinduzierten rheologischen Anisotropie von verschiedenen Polyethylen-Schmelzen
,” Diss. Techn. Wiss. ETH Zürich
, 1996
.22.
M. H.
Wagner
, P.
Rubio
and H.
Bastian
, J. Rheol.
45
(6
), 1387
–1412
(2001
).© 2019 Author(s).
2019
Author(s)
