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Erschienen in: Rheologica Acta 1/2004

01.02.2004 | Original Contribution

Modelling the biaxial elongational deformation of soft solids

verfasst von: Simin Nasseri, Lynne Bilston, Babatunde Fasheun, Roger Tanner

Erschienen in: Rheologica Acta | Ausgabe 1/2004

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Abstract

This paper reports the results of modelling the biaxial extension of soft solids in lubricated squeezing flow geometry. The nonlinear constitutive model including the single mode Phan-Thien Tanner (PTT) model has been used to model the behaviour of different materials such as a soft tissue (pig liver) and three wheat flours with different protein contents. These were used to evaluate the usefulness of the method and to establish how different compositional or structural parameters could be relevant in determining the rheological behaviour of soft solids. From this study it was found that homogeneous uniaxial compression can be achieved in lubricated squeezing flow. Modelling results are in good agreement with experimental results for all the materials considered.

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Literatur
Zurück zum Zitat Bagley EB, Christianson D (1986) Response of commercial chemically leavened doughs to uniaxial compression. Fundamentals of dough rheology. In: Faridi H, Faubion J (eds) American Association of Cereal Chemists St Paul MN 27-36 Bagley EB, Christianson D (1986) Response of commercial chemically leavened doughs to uniaxial compression. Fundamentals of dough rheology. In: Faridi H, Faubion J (eds) American Association of Cereal Chemists St Paul MN 27-36
Zurück zum Zitat Bilston LE, Liu Z, Phan-Thien N (1998) Linear viscoelastic properties of bovine brain tissue in shear. Biorheol 34(6):377–385CrossRef Bilston LE, Liu Z, Phan-Thien N (1998) Linear viscoelastic properties of bovine brain tissue in shear. Biorheol 34(6):377–385CrossRef
Zurück zum Zitat Bilston LE, Liu Z, Phan-Thien N (2001) Large strain behaviour of brain tissue in shear: some experimental data and differential constitutive model. Biorheology 38(4):335–345PubMed Bilston LE, Liu Z, Phan-Thien N (2001) Large strain behaviour of brain tissue in shear: some experimental data and differential constitutive model. Biorheology 38(4):335–345PubMed
Zurück zum Zitat Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, vol 1. Willey Press Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, vol 1. Willey Press
Zurück zum Zitat Brindley G, Davies JM, Walters K (1976) Elastico-viscous squeeze films: part1. J Non-Newtonian Fluid Mech 1:19–37 Brindley G, Davies JM, Walters K (1976) Elastico-viscous squeeze films: part1. J Non-Newtonian Fluid Mech 1:19–37
Zurück zum Zitat Burghardt WR, Li JM, Khomami B, Yang B (1999) Uniaxial extensional characterization of a shear thinning fluid using axisymmetric flow birefringence. J Rheol 43(1):147–165CrossRef Burghardt WR, Li JM, Khomami B, Yang B (1999) Uniaxial extensional characterization of a shear thinning fluid using axisymmetric flow birefringence. J Rheol 43(1):147–165CrossRef
Zurück zum Zitat Chatraei SH, Macosko CW, Winter HH (1981) Lubricated squeezing flow: a new biaxial extension rheometer. J Rheol 25(4):433–443 Chatraei SH, Macosko CW, Winter HH (1981) Lubricated squeezing flow: a new biaxial extension rheometer. J Rheol 25(4):433–443
Zurück zum Zitat Chinzei K, Miller K (1996) Compression of swine brain tissue: experiment in vitro. J Mech Eng Lab Namiki Tsukuba-shi Ibaraki Japan 50(4):19–28 Chinzei K, Miller K (1996) Compression of swine brain tissue: experiment in vitro. J Mech Eng Lab Namiki Tsukuba-shi Ibaraki Japan 50(4):19–28
Zurück zum Zitat Co A, Bird RB (1974) Analysis of squeezing flow between parallel disks using Goddard-Miller model. Rheology Research Center Reports, RRC31, October, University of Wisconsin USA Co A, Bird RB (1974) Analysis of squeezing flow between parallel disks using Goddard-Miller model. Rheology Research Center Reports, RRC31, October, University of Wisconsin USA
Zurück zum Zitat Corradini MG, Stern V, Suowonsichon T, Peleg M (2000) Squeezing flow of semi liquid foods between parallel Teflon coated plates. Rheol Acta 39:452–460 Corradini MG, Stern V, Suowonsichon T, Peleg M (2000) Squeezing flow of semi liquid foods between parallel Teflon coated plates. Rheol Acta 39:452–460
Zurück zum Zitat Denn MM, Marrucci G (1999) Squeeze flow between finite plates. J Non-Newtonian Fluid Mech 87:175–178 Denn MM, Marrucci G (1999) Squeeze flow between finite plates. J Non-Newtonian Fluid Mech 87:175–178
Zurück zum Zitat Dhanasekharan M, Huang H (1999) Comparison of observed rheological properties of hard wheat flour dough with predictions of the Giesekus-Leonov, White-Metzner and Phan-Thien Tanner models. J Text Stud 30:603–623 Dhanasekharan M, Huang H (1999) Comparison of observed rheological properties of hard wheat flour dough with predictions of the Giesekus-Leonov, White-Metzner and Phan-Thien Tanner models. J Text Stud 30:603–623
Zurück zum Zitat Grimm RJ (1977) Squeezing flows of polymeric liquids. Rheology Research Center Reports, RRC45 June, University of Wisconsin USA Grimm RJ (1977) Squeezing flows of polymeric liquids. Rheology Research Center Reports, RRC45 June, University of Wisconsin USA
Zurück zum Zitat Hencky H (1929) Welche Umstande bedingen die Verfestigung bei der bildsamen verformung von festen isotropen Korpern? Z Physik 55:145–155 Hencky H (1929) Welche Umstande bedingen die Verfestigung bei der bildsamen verformung von festen isotropen Korpern? Z Physik 55:145–155
Zurück zum Zitat Hoffner B, Campanella OH, Corradini MG, Peleg M (2001) Squeezing flow of a highly viscous incompressible liquid pressed between slightly inclined lubricated wide plates. Rheol Acta 40:289–295CrossRef Hoffner B, Campanella OH, Corradini MG, Peleg M (2001) Squeezing flow of a highly viscous incompressible liquid pressed between slightly inclined lubricated wide plates. Rheol Acta 40:289–295CrossRef
Zurück zum Zitat Huang H, Kokini JL (1993) Measurement of biaxial extensional viscosity of wheat flour doughs. J Rheol 37(5):879–891 Huang H, Kokini JL (1993) Measurement of biaxial extensional viscosity of wheat flour doughs. J Rheol 37(5):879–891
Zurück zum Zitat Janssen AM, Van-Vleit T, Vereijken JM (1996) Fundamental and empirical rheological behaviour of wheat flour doughs and comparison with bread-making performance. J Cereal Sci 23:43–54CrossRef Janssen AM, Van-Vleit T, Vereijken JM (1996) Fundamental and empirical rheological behaviour of wheat flour doughs and comparison with bread-making performance. J Cereal Sci 23:43–54CrossRef
Zurück zum Zitat Kompani M, Venerus DC (2000) Equibiaxial extensional flow of polymer melts via lubricated squeezing flow. I. Experimental analysis. Rheol Acta 39 5:444–451CrossRef Kompani M, Venerus DC (2000) Equibiaxial extensional flow of polymer melts via lubricated squeezing flow. I. Experimental analysis. Rheol Acta 39 5:444–451CrossRef
Zurück zum Zitat Kruse SA, Smith JA, Lawrence AJ, Dresner MA, Manduca A, Greenleaf JF, Ehman RL (2000) Tissue characterization using magnetic resonance elastography: preliminary results. Phys Med Biol 45(6):1579–1590CrossRefPubMed Kruse SA, Smith JA, Lawrence AJ, Dresner MA, Manduca A, Greenleaf JF, Ehman RL (2000) Tissue characterization using magnetic resonance elastography: preliminary results. Phys Med Biol 45(6):1579–1590CrossRefPubMed
Zurück zum Zitat Laun HM, Rady M, Hassager O (1999) Analytical solutions for squeeze flow with partial wall slip. J Non-Newtonian Fluid Mech 81:1–15 Laun HM, Rady M, Hassager O (1999) Analytical solutions for squeeze flow with partial wall slip. J Non-Newtonian Fluid Mech 81:1–15
Zurück zum Zitat Leider PJ (1974) Squeezing flow between parallel disks (II): experiments. Ind Eng Chem Fund 13:342–346 Leider PJ (1974) Squeezing flow between parallel disks (II): experiments. Ind Eng Chem Fund 13:342–346
Zurück zum Zitat Liu Z, Bilston LE (2000) On the viscoelastic character of liver tissue: experiments and modelling of the linear behaviour. Biorheology 37(3):191–201PubMed Liu Z, Bilston LE (2000) On the viscoelastic character of liver tissue: experiments and modelling of the linear behaviour. Biorheology 37(3):191–201PubMed
Zurück zum Zitat Liu Z, Bilston LE (2002) Large deformation shear properties of liver tissue. Biorheology 39(6):735–742PubMed Liu Z, Bilston LE (2002) Large deformation shear properties of liver tissue. Biorheology 39(6):735–742PubMed
Zurück zum Zitat Macosko CW (1994) Rheology principles: measurement and applications. Advances in interfacial engineering. VCH Publishers, NY, p 550 Macosko CW (1994) Rheology principles: measurement and applications. Advances in interfacial engineering. VCH Publishers, NY, p 550
Zurück zum Zitat Mendis KK, Stalnaker RL, Advani SH (1995) A constitutive relation for large deformation finite element modelling of brain tissue. Trans ASME J Biomech Eng 117:279–285 Mendis KK, Stalnaker RL, Advani SH (1995) A constitutive relation for large deformation finite element modelling of brain tissue. Trans ASME J Biomech Eng 117:279–285
Zurück zum Zitat Miller K, Chinzei K (1997) Constitutive modelling of brain tissue: Experiment and theory. J Biomech 30(11/12):1115–1121 Miller K, Chinzei K (1997) Constitutive modelling of brain tissue: Experiment and theory. J Biomech 30(11/12):1115–1121
Zurück zum Zitat Nasseri S, Bilston LE, Phan-Thien N (2001) Viscoelastic properties of pig kidney in shear: experimental results and modelling. Rheol Acta 41:180–192CrossRef Nasseri S, Bilston LE, Phan-Thien N (2001) Viscoelastic properties of pig kidney in shear: experimental results and modelling. Rheol Acta 41:180–192CrossRef
Zurück zum Zitat Pamidi MR, Advani SH (1978) Nonlinear constitutive relations for human brain tissue. Trans ASME J Biomech Eng 100:44–48 Pamidi MR, Advani SH (1978) Nonlinear constitutive relations for human brain tissue. Trans ASME J Biomech Eng 100:44–48
Zurück zum Zitat Phan-Thien N (1982) Hydrodynamic lubrication of rough surfaces. Proc R Soc London A 383:439–446 Phan-Thien N (1982) Hydrodynamic lubrication of rough surfaces. Proc R Soc London A 383:439–446
Zurück zum Zitat Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353–365 Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353–365
Zurück zum Zitat Phan-Thien N, Sugeng F, Tanner RI (1987) The squeeze-film of a viscoelastic fluid. J Non-Newtonian Fluid Mech 24:97–119 Phan-Thien N, Sugeng F, Tanner RI (1987) The squeeze-film of a viscoelastic fluid. J Non-Newtonian Fluid Mech 24:97–119
Zurück zum Zitat Phan-Thien N, Safari-Ardi M, Morales-Patino A (1997) Oscillatory and simple shear flows of a flour-water dough: a constitutive model. Rheol Acta 36:38–48 Phan-Thien N, Safari-Ardi M, Morales-Patino A (1997) Oscillatory and simple shear flows of a flour-water dough: a constitutive model. Rheol Acta 36:38–48
Zurück zum Zitat Phan-Thien N, Nasseri S, Bilston LE (2000) Oscillatory squeezing flow of a biological material Rheol Acta 39:409–417CrossRef Phan-Thien N, Nasseri S, Bilston LE (2000) Oscillatory squeezing flow of a biological material Rheol Acta 39:409–417CrossRef
Zurück zum Zitat Schofield RK, Scott Blair GW (1932) Plastic strength of soft materials, the relationship between viscosity, elasticity and plastic strength of soft materials as illustrated by some mechanical properties of flour doughs I. Proc R Soc A 138:707–718 Schofield RK, Scott Blair GW (1932) Plastic strength of soft materials, the relationship between viscosity, elasticity and plastic strength of soft materials as illustrated by some mechanical properties of flour doughs I. Proc R Soc A 138:707–718
Zurück zum Zitat Scott JR (1931) Theory and application of the parallel-plate plastimeter. Trans IRI 7:169–175 Scott JR (1931) Theory and application of the parallel-plate plastimeter. Trans IRI 7:169–175
Zurück zum Zitat Solovyov SE, Virkler TL, Scott CE (1999) Rheology of ABS polymer melts and viscoelastic constitutive models. J Rheol 43(4):977–990 Solovyov SE, Virkler TL, Scott CE (1999) Rheology of ABS polymer melts and viscoelastic constitutive models. J Rheol 43(4):977–990
Zurück zum Zitat Tanner RI (2000) Engineering rheology, 2nd edn. Oxford University Press, London Tanner RI (2000) Engineering rheology, 2nd edn. Oxford University Press, London
Zurück zum Zitat Van-Vliet T, Janssen AM, Bloksma AH, Walstra P (1992) Strain hardening of dough as a requirement for gas retention. J Text Stud 23:439–460 Van-Vliet T, Janssen AM, Bloksma AH, Walstra P (1992) Strain hardening of dough as a requirement for gas retention. J Text Stud 23:439–460
Zurück zum Zitat Venerus DC, Kompani M, Bernstein B (2000) Equibiaxial extensional flow of polymer melts via lubricated squeezing flow: II. Flow modeling. Rheol Acta 39(6):574–582CrossRef Venerus DC, Kompani M, Bernstein B (2000) Equibiaxial extensional flow of polymer melts via lubricated squeezing flow: II. Flow modeling. Rheol Acta 39(6):574–582CrossRef
Zurück zum Zitat Wikstrom K (1997) Biaxial extensional flow of wheat flour doughs; rheology of wheat flour doughs at large deformations and the relations to baking quality and physical structure. PhD Thesis, Lund University, Sweden Wikstrom K (1997) Biaxial extensional flow of wheat flour doughs; rheology of wheat flour doughs at large deformations and the relations to baking quality and physical structure. PhD Thesis, Lund University, Sweden
Metadaten
Titel
Modelling the biaxial elongational deformation of soft solids
verfasst von
Simin Nasseri
Lynne Bilston
Babatunde Fasheun
Roger Tanner
Publikationsdatum
01.02.2004
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 1/2004
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-003-0321-z

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