메뉴 건너뛰기




Volumn 165, Issue 1-2, 2010, Pages 14-23

3D modeling of dual wind-up extensional rheometers

Author keywords

BKZ; Elongation; EVF; Extension; Finite element; Lagrangian; Rheometer; SER

Indexed keywords

3-D MODELING; EVF; EXTENSION; EXTENSIONAL DEFORMATION; EXTENSIONAL VISCOSITY; FINITE ELEMENT; IDEAL BEHAVIOR; INITIAL THICKNESS; LAGRANGIAN; NUMERICAL MODELING; PARAMETER RANGE; RECTANGULAR SHAPES; STRAIN TENSOR; THREE-DIMENSIONAL NUMERICAL SIMULATIONS;

EID: 71749088541     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.08.006     Document Type: Article
Times cited : (31)

References (58)
  • 1
    • 8844221412 scopus 로고    scopus 로고
    • Miniature universal testing platform: from extensional melt rheology to solid-state deformation behavior
    • Sentmanat M.L. Miniature universal testing platform: from extensional melt rheology to solid-state deformation behavior. Rheol. Acta 43 (2004) 657-669
    • (2004) Rheol. Acta , vol.43 , pp. 657-669
    • Sentmanat, M.L.1
  • 2
    • 71749087095 scopus 로고    scopus 로고
    • Polymer melt and elastomer extension fixture,
    • US Patent No. 7,096,728
    • R. Garritano, H. Berting, Polymer melt and elastomer extension fixture, US Patent No. 7,096,728 (2006).
    • (2006)
    • Garritano, R.1    Berting, H.2
  • 4
    • 37849042177 scopus 로고    scopus 로고
    • A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends
    • Wagner M.H., Rolón-Garrido V.H., Nielsen J.K., Rasmussen H.K., and Hassager O. A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends. J. Rheol. 52 (2008) 67-86
    • (2008) J. Rheol. , vol.52 , pp. 67-86
    • Wagner, M.H.1    Rolón-Garrido, V.H.2    Nielsen, J.K.3    Rasmussen, H.K.4    Hassager, O.5
  • 6
    • 38349110834 scopus 로고    scopus 로고
    • Constitutive equation for polymer networks with phonon fluctuations
    • Hansen R., Skov A.L., and Hassager O. Constitutive equation for polymer networks with phonon fluctuations. Phys. Rev. E 77 (2008) 011802
    • (2008) Phys. Rev. E , vol.77 , pp. 011802
    • Hansen, R.1    Skov, A.L.2    Hassager, O.3
  • 7
    • 0018503481 scopus 로고
    • New universal extensional rheometer for polymer melts. Measurements on a polystyrene sample
    • Münstedt H. New universal extensional rheometer for polymer melts. Measurements on a polystyrene sample. J. Rheol. 23 (1979) 421-436
    • (1979) J. Rheol. , vol.23 , pp. 421-436
    • Münstedt, H.1
  • 8
    • 0028155154 scopus 로고
    • A new elongational rheometer for polymer melts and other highly viscoelastic liquids
    • Meissner J., and Hostettler J. A new elongational rheometer for polymer melts and other highly viscoelastic liquids. Rheol. Acta 33 (1994) 1-21
    • (1994) Rheol. Acta , vol.33 , pp. 1-21
    • Meissner, J.1    Hostettler, J.2
  • 10
    • 0000696377 scopus 로고    scopus 로고
    • Transient filament stretching rheometer. 2. Numerical simulation
    • Kolte M.I., Rasmussen H.K., and Hassager O. Transient filament stretching rheometer. 2. Numerical simulation. Rheol. Acta 36 (1997) 285-302
    • (1997) Rheol. Acta , vol.36 , pp. 285-302
    • Kolte, M.I.1    Rasmussen, H.K.2    Hassager, O.3
  • 11
    • 0031193801 scopus 로고    scopus 로고
    • Element simulation of a filament stretching extensional rheometer
    • Sizaire R., and Legat V. Element simulation of a filament stretching extensional rheometer. J. Non-Newton. Fluid Mech. 71 (1997) 89-107
    • (1997) J. Non-Newton. Fluid Mech. , vol.71 , pp. 89-107
    • Sizaire, R.1    Legat, V.2
  • 14
    • 31144449811 scopus 로고    scopus 로고
    • Measuring the transient extensional rheology of polyethylene melts using the SER universal testing platform
    • Sentmanat M.L., Wang B.N., and McKinley G.H. Measuring the transient extensional rheology of polyethylene melts using the SER universal testing platform. J. Rheol. 49 (2005) 585-606
    • (2005) J. Rheol. , vol.49 , pp. 585-606
    • Sentmanat, M.L.1    Wang, B.N.2    McKinley, G.H.3
  • 16
    • 0033567334 scopus 로고    scopus 로고
    • Time-dependent finite-element method for the simulation of three-dimensional viscoelastic flow with integral models
    • Rasmussen H.K. Time-dependent finite-element method for the simulation of three-dimensional viscoelastic flow with integral models. J. Non-Newton. Fluid Mech. 84 (1999) 217-232
    • (1999) J. Non-Newton. Fluid Mech. , vol.84 , pp. 217-232
    • Rasmussen, H.K.1
  • 17
    • 0034253429 scopus 로고    scopus 로고
    • Lagrangian viscoelastic flow computations using Rivlin-Sawyers constitutive model
    • Rasmussen H.K. Lagrangian viscoelastic flow computations using Rivlin-Sawyers constitutive model. J. Non-Newton. Fluid Mech. 92 (2000) 227-243
    • (2000) J. Non-Newton. Fluid Mech. , vol.92 , pp. 227-243
    • Rasmussen, H.K.1
  • 18
    • 0037144864 scopus 로고    scopus 로고
    • Lagrangian viscoelastic flow computations using a generalized molecular stress function model
    • Rasmussen H.K. Lagrangian viscoelastic flow computations using a generalized molecular stress function model. J. Non-Newton. Fluid Mech. 106 (2002) 107-120
    • (2002) J. Non-Newton. Fluid Mech. , vol.106 , pp. 107-120
    • Rasmussen, H.K.1
  • 19
    • 0019726870 scopus 로고
    • Variational principle for the K-BKZ rheological equation of state with potential function
    • Hassager O. Variational principle for the K-BKZ rheological equation of state with potential function. J. Non-Newton. Fluid Mech. 9 (1981) 321-328
    • (1981) J. Non-Newton. Fluid Mech. , vol.9 , pp. 321-328
    • Hassager, O.1
  • 20
    • 58149216160 scopus 로고    scopus 로고
    • Lagrangian finite-element method for the simulation of K-BKZ fluids with third order accuracy
    • Marín J.M.R., and Rasmussen H.K. Lagrangian finite-element method for the simulation of K-BKZ fluids with third order accuracy. J. Non-Newton. Fluid Mech. 156 (2009) 177-188
    • (2009) J. Non-Newton. Fluid Mech. , vol.156 , pp. 177-188
    • Marín, J.M.R.1    Rasmussen, H.K.2
  • 23
    • 0020169754 scopus 로고
    • Constitutive equations for polymer melts predicted by the Doi-Edwards and Curtiss-Bird kinetic theory models
    • Currie P.K. Constitutive equations for polymer melts predicted by the Doi-Edwards and Curtiss-Bird kinetic theory models. J. Non-Newton. Fluid Mech. 11 (1982) 53-68
    • (1982) J. Non-Newton. Fluid Mech. , vol.11 , pp. 53-68
    • Currie, P.K.1
  • 24
    • 71749097221 scopus 로고    scopus 로고
    • A. Kaye, College of Aeronautics, Cranheld, Note No. 134 (1962).
    • A. Kaye, College of Aeronautics, Cranheld, Note No. 134 (1962).
  • 26
    • 0000419972 scopus 로고
    • A numerical study of the effect of elongational viscosity on vortex growth in contraction flows of polyethylene melts
    • Luo X.-L., and Mitsoulis E. A numerical study of the effect of elongational viscosity on vortex growth in contraction flows of polyethylene melts. J. Rheol. 34 (1990) 309-342
    • (1990) J. Rheol. , vol.34 , pp. 309-342
    • Luo, X.-L.1    Mitsoulis, E.2
  • 27
    • 0028478626 scopus 로고
    • The flow of a LDPE melt through an axisymmetric contraction: a numerical study and comparison to experimental results
    • Feigl K.A., and Öttinger H.C. The flow of a LDPE melt through an axisymmetric contraction: a numerical study and comparison to experimental results. J. Rheol. 38 (1994) 847-874
    • (1994) J. Rheol. , vol.38 , pp. 847-874
    • Feigl, K.A.1    Öttinger, H.C.2
  • 28
    • 0029220096 scopus 로고
    • Numerical simulation of extrusion through orifice dies and prediction of Bagley correction for an IUPAC-LDPE melt
    • Barakos G., and Mitsoulis E. Numerical simulation of extrusion through orifice dies and prediction of Bagley correction for an IUPAC-LDPE melt. J. Rheol. 39 (1995) 193-209
    • (1995) J. Rheol. , vol.39 , pp. 193-209
    • Barakos, G.1    Mitsoulis, E.2
  • 29
    • 0029755273 scopus 로고    scopus 로고
    • A numerical study of the flow of a low-density-polyethylene melt in a planar contraction and comparison to experiments
    • Feigl K.A., and Öttinger H.C. A numerical study of the flow of a low-density-polyethylene melt in a planar contraction and comparison to experiments. J. Rheol. 40 (1996) 21-35
    • (1996) J. Rheol. , vol.40 , pp. 21-35
    • Feigl, K.A.1    Öttinger, H.C.2
  • 30
    • 84985376707 scopus 로고
    • Finite element simulation of long and short circular die extrusion experiments using integral models
    • Luo X.L., and Tanner R.I. Finite element simulation of long and short circular die extrusion experiments using integral models. Int. J. Numer. Methods Eng. 25 (1988) 9-22
    • (1988) Int. J. Numer. Methods Eng. , vol.25 , pp. 9-22
    • Luo, X.L.1    Tanner, R.I.2
  • 31
    • 33645069163 scopus 로고    scopus 로고
    • A modification of the convective constraint release mechanism in the molecular stress function model giving enhanced vortex growth
    • Olley P., and Wagner M.H. A modification of the convective constraint release mechanism in the molecular stress function model giving enhanced vortex growth. J. Non-Newton. Fluid Mech. 135 (2006) 68-81
    • (2006) J. Non-Newton. Fluid Mech. , vol.135 , pp. 68-81
    • Olley, P.1    Wagner, M.H.2
  • 32
    • 0001189928 scopus 로고
    • Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts
    • Wagner M.H., and Schaeffer J. Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts. Rheol. Acta 33 (1994) 506-516
    • (1994) Rheol. Acta , vol.33 , pp. 506-516
    • Wagner, M.H.1    Schaeffer, J.2
  • 34
    • 0001216394 scopus 로고    scopus 로고
    • A constitutive analysis of uniaxial, equibiaxial and planar extension of a commercial linear high-density polyethylene melt
    • Wagner M.H., Ehrecke P., Hachmann P., and Meissner J. A constitutive analysis of uniaxial, equibiaxial and planar extension of a commercial linear high-density polyethylene melt. J. Rheol. 42 (1998) 621-638
    • (1998) J. Rheol. , vol.42 , pp. 621-638
    • Wagner, M.H.1    Ehrecke, P.2    Hachmann, P.3    Meissner, J.4
  • 35
    • 20344365055 scopus 로고    scopus 로고
    • The effects of polymer melt rheology on the replication of surface microstructres in isothermal moulding
    • Eriksson T., and Rasmussen H.K. The effects of polymer melt rheology on the replication of surface microstructres in isothermal moulding. J. Non-Newton. Fluid Mech. 127 (2005) 191-200
    • (2005) J. Non-Newton. Fluid Mech. , vol.127 , pp. 191-200
    • Eriksson, T.1    Rasmussen, H.K.2
  • 36
    • 20344376902 scopus 로고    scopus 로고
    • On the bursting of linear polymer melts in inflation processes
    • Rasmussen H.K., and Bach A. On the bursting of linear polymer melts in inflation processes. Rheol. Acta 44 (2005) 435-445
    • (2005) Rheol. Acta , vol.44 , pp. 435-445
    • Rasmussen, H.K.1    Bach, A.2
  • 37
    • 41149100769 scopus 로고    scopus 로고
    • On the burst of branched polymer melts during inflation
    • Rasmussen H.K., and Yu K. On the burst of branched polymer melts during inflation. Rheol. Acta 47 (2008) 149-157
    • (2008) Rheol. Acta , vol.47 , pp. 149-157
    • Rasmussen, H.K.1    Yu, K.2
  • 38
    • 33947313175 scopus 로고    scopus 로고
    • Gas displacement of polymer melts in a cylinder: experiments and viscoelastic simulations
    • Rasmussen H.K., and Eriksson T. Gas displacement of polymer melts in a cylinder: experiments and viscoelastic simulations. J. Non-Newton. Fluid Mech. 143 (2007) 1-9
    • (2007) J. Non-Newton. Fluid Mech. , vol.143 , pp. 1-9
    • Rasmussen, H.K.1    Eriksson, T.2
  • 39
    • 0034317524 scopus 로고    scopus 로고
    • A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows
    • Fang J., Kröger M., and Öttinger H.C. A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows. J. Rheol. 44 (2000) 1293-1317
    • (2000) J. Rheol. , vol.44 , pp. 1293-1317
    • Fang, J.1    Kröger, M.2    Öttinger, H.C.3
  • 40
    • 0000782981 scopus 로고    scopus 로고
    • A thermodynamically admissible reptation model for fast flows of entangled polymers
    • Öttinger H.C. A thermodynamically admissible reptation model for fast flows of entangled polymers. J. Rheol. 43 (1999) 1461-1493
    • (1999) J. Rheol. , vol.43 , pp. 1461-1493
    • Öttinger, H.C.1
  • 41
    • 0001318230 scopus 로고    scopus 로고
    • Segment connectivity, chainlength breathing, segmental stretch, and constraint release in reptation models. II. Double-step strain predictions
    • Hua C.C., Schieber J.D., and Venerus D.C. Segment connectivity, chainlength breathing, segmental stretch, and constraint release in reptation models. II. Double-step strain predictions. J. Chem. Phys. 109 (1998) 10028-10032
    • (1998) J. Chem. Phys. , vol.109 , pp. 10028-10032
    • Hua, C.C.1    Schieber, J.D.2    Venerus, D.C.3
  • 42
    • 0142116207 scopus 로고    scopus 로고
    • Entanglement molecular weight and frequency response of sliplink networks
    • Masubuchi Y., Ianniruberto G., Greco F., and Marrucci G. Entanglement molecular weight and frequency response of sliplink networks. J. Chem. Phys. 119 (2003) 6925-6930
    • (2003) J. Chem. Phys. , vol.119 , pp. 6925-6930
    • Masubuchi, Y.1    Ianniruberto, G.2    Greco, F.3    Marrucci, G.4
  • 43
    • 36749015698 scopus 로고    scopus 로고
    • Comprehensive comparisons with nonlinear flow data of a consistently unconstrained Brownian slip-link model
    • Schieber J.D., Nair D.M., and Kitkrailard T. Comprehensive comparisons with nonlinear flow data of a consistently unconstrained Brownian slip-link model. J. Rheol. 51 (2007) 1111-1141
    • (2007) J. Rheol. , vol.51 , pp. 1111-1141
    • Schieber, J.D.1    Nair, D.M.2    Kitkrailard, T.3
  • 44
    • 0031675952 scopus 로고    scopus 로고
    • Molecular constitutive equations for a class of branched polymers: the pom-pom polymer
    • McLeish T.C.B., and Larson R.G. Molecular constitutive equations for a class of branched polymers: the pom-pom polymer. J. Rheol. 42 (1998) 81-110
    • (1998) J. Rheol. , vol.42 , pp. 81-110
    • McLeish, T.C.B.1    Larson, R.G.2
  • 45
    • 33646394683 scopus 로고    scopus 로고
    • Quantitative prediction of transient and steady-state elongational viscosity of nearly monodisperse polystyrene melts
    • Wagner M.H., Kheirandish S., and Hassager O. Quantitative prediction of transient and steady-state elongational viscosity of nearly monodisperse polystyrene melts. J. Rheol. 49 (2005) 1317-1327
    • (2005) J. Rheol. , vol.49 , pp. 1317-1327
    • Wagner, M.H.1    Kheirandish, S.2    Hassager, O.3
  • 46
    • 2542559034 scopus 로고    scopus 로고
    • Interchain pressure effect in extensional flows of entangled polymer melts
    • Marrucci G., and Ianniruberto G. Interchain pressure effect in extensional flows of entangled polymer melts. Macromolecules 37 (2004) 3934-3942
    • (2004) Macromolecules , vol.37 , pp. 3934-3942
    • Marrucci, G.1    Ianniruberto, G.2
  • 48
    • 38049030180 scopus 로고    scopus 로고
    • Large amplitude oscillatory elongation flow
    • Rasmussen H.K., Laillé P., and Yu K. Large amplitude oscillatory elongation flow. Rheol. Acta 47 (2008) 97-103
    • (2008) Rheol. Acta , vol.47 , pp. 97-103
    • Rasmussen, H.K.1    Laillé, P.2    Yu, K.3
  • 49
    • 46049104213 scopus 로고    scopus 로고
    • Stress relaxation of narrow molar mass distribution polystyrene following uni-axial extension
    • Nielsen J.K., Rasmussen H.K., and Hassager O. Stress relaxation of narrow molar mass distribution polystyrene following uni-axial extension. J. Rheol. 52 (2008) 885-899
    • (2008) J. Rheol. , vol.52 , pp. 885-899
    • Nielsen, J.K.1    Rasmussen, H.K.2    Hassager, O.3
  • 51
    • 22244487037 scopus 로고
    • Dynamics of concentrated polymer systems. III. The constitutive equation
    • Doi M., and Edwards S.F. Dynamics of concentrated polymer systems. III. The constitutive equation. J. Chem. Soc. Faraday Trans. II 74 (1978) 1818-1832
    • (1978) J. Chem. Soc. Faraday Trans. II , vol.74 , pp. 1818-1832
    • Doi, M.1    Edwards, S.F.2
  • 52
    • 37049112742 scopus 로고
    • Dynamics of concentrated polymer systems. IV. Rheological properties
    • Doi M., and Edwards S.F. Dynamics of concentrated polymer systems. IV. Rheological properties. J. Chem. Soc. Faraday Trans. II 75 (1979) 38-54
    • (1979) J. Chem. Soc. Faraday Trans. II , vol.75 , pp. 38-54
    • Doi, M.1    Edwards, S.F.2
  • 53
    • 0037203480 scopus 로고    scopus 로고
    • Growth of non-axisymmetric disturbances of the free surface in the filament stretching rheometer: experiments and simulation
    • Bach A., Rasmussen H.K., Longin P.-Y., and Hassager O. Growth of non-axisymmetric disturbances of the free surface in the filament stretching rheometer: experiments and simulation. J. Non-Newton. Fluid Mech. 108 (2002) 163-186
    • (2002) J. Non-Newton. Fluid Mech. , vol.108 , pp. 163-186
    • Bach, A.1    Rasmussen, H.K.2    Longin, P.-Y.3    Hassager, O.4
  • 54
    • 34249953211 scopus 로고
    • The relaxation of polymers with linear flexible chains of uniform length
    • Baumgaertel M., Schausberger C., and Winter H.H. The relaxation of polymers with linear flexible chains of uniform length. Rheol. Acta 29 (1990) 400-408
    • (1990) Rheol. Acta , vol.29 , pp. 400-408
    • Baumgaertel, M.1    Schausberger, C.2    Winter, H.H.3
  • 55
    • 2242428447 scopus 로고    scopus 로고
    • The Considère condition and rapid stretching of linear and branched polymer melts
    • McKinley G.H., and Hassager O. The Considère condition and rapid stretching of linear and branched polymer melts. J. Rheol. 43 (1999) 1195-1212
    • (1999) J. Rheol. , vol.43 , pp. 1195-1212
    • McKinley, G.H.1    Hassager, O.2
  • 57
    • 20344369619 scopus 로고    scopus 로고
    • Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts
    • Rasmussen H.K., Nielsen J.K., Bach A., and Hassager O. Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts. J. Rheol. 49 (2005) 369-381
    • (2005) J. Rheol. , vol.49 , pp. 369-381
    • Rasmussen, H.K.1    Nielsen, J.K.2    Bach, A.3    Hassager, O.4
  • 58
    • 0041306118 scopus 로고    scopus 로고
    • Elongational viscosity of narrow molar mass distribution polystyrene
    • Bach A., Almdal K., Rasmussen H.K., and Hassager O. Elongational viscosity of narrow molar mass distribution polystyrene. Macromolecules 36 (2003) 5174-5179
    • (2003) Macromolecules , vol.36 , pp. 5174-5179
    • Bach, A.1    Almdal, K.2    Rasmussen, H.K.3    Hassager, O.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.