메뉴 건너뛰기




Volumn 469, Issue 2149, 2013, Pages

Power-law rheology in the bulk and at the interface: Quasi-properties and fractional constitutive equations

Author keywords

Creep ringing; Fractional Maxwell model; Globular proteins; Power law; Scott Blair

Indexed keywords

CONSUMER PRODUCTS; EQUATIONS OF MOTION; FREQUENCY RESPONSE; MAXWELL EQUATIONS; RHEOLOGY;

EID: 84872160366     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2012.0284     Document Type: Article
Times cited : (258)

References (62)
  • 2
    • 0036867705 scopus 로고    scopus 로고
    • Interfacial rheology of food emulsifiers and proteins
    • DOI 10.1016/S1359-0294(02)00077-8, PII S1359029402000778
    • Murray BS. 2002 Interfacial rheology of food emulsifiers and proteins. Curr. Opin. Colloid Interface Sci. 7, 426-431. (doi:10.1016/S1359-0294(02)00077- 8) (Pubitemid 36007989)
    • (2002) Current Opinion in Colloid and Interface Science , vol.7 , Issue.5-6 , pp. 426-431
    • Murray, B.S.1
  • 4
    • 78751701130 scopus 로고    scopus 로고
    • Rheology of food materials
    • doi:10.1016/j.cocis.2010.07.003
    • Fischer P, Windhab EJ. 2011 Rheology of food materials. Curr. Opin. Colloid Interface Sci. 16, 36-40. (doi:10.1016/j.cocis.2010.07.003)
    • (2011) Curr. Opin. Colloid Interface Sci. , vol.16 , pp. 36-40
    • Fischer, P.1    Windhab, E.J.2
  • 5
    • 77949270264 scopus 로고    scopus 로고
    • A double wall-ring geometry for interfacial shear rheometry
    • doi:10.1007/s00397-009-0407-3
    • Vandebril S, Franck A, Fuller GG, Moldenaers P, Vermant J. 2010 A double wall-ring geometry for interfacial shear rheometry. Rheol. Acta 49, 131-144. (doi:10.1007/s00397-009-0407-3)
    • (2010) Rheol. Acta , vol.49 , pp. 131-144
    • Vandebril, S.1    Franck, A.2    Fuller, G.G.3    Moldenaers, P.4    Vermant, J.5
  • 6
    • 84860179157 scopus 로고    scopus 로고
    • Interfacial viscoelasticity, yielding and creep ringing of globular protein-surfactant mixtures
    • doi:10.1039/c1sm05399j
    • Jaishankar A, Sharma V, McKinley GH. 2011 Interfacial viscoelasticity, yielding and creep ringing of globular protein-surfactant mixtures. Soft Matter 7, 7623-7634. (doi:10.1039/ c1sm05399j)
    • (2011) Soft Matter , vol.7 , pp. 7623-7634
    • Jaishankar, A.1    Sharma, V.2    McKinley, G.H.3
  • 7
    • 0036642719 scopus 로고    scopus 로고
    • From stretched exponential to inverse power-law: Fractional dynamics, Cole-Cole relaxation processes, and beyond
    • DOI 10.1016/S0022-3093(02)01124-9, PII S0022309302011249
    • Metzler R, Klafter J. 2002 From stretched exponential to inverse power-law: fractional dynamics, Cole-Cole relaxation processes, and beyond. J. Non-Cryst. Solids 305, 81-87. (doi:10.1016/S0022-3093(02)01124-9) (Pubitemid 34552117)
    • (2002) Journal of Non-Crystalline Solids , vol.305 , Issue.1-3 , pp. 81-87
    • Metzler, R.1    Klafter, J.2
  • 8
    • 23044443670 scopus 로고
    • Rheological properties of viscoelastic surfactant systems
    • doi:10.1021/j100327a031
    • Rehage H, Hoffmann H. 1988 Rheological properties of viscoelastic surfactant systems. J. Phys. Chem. 92, 4712-4719. (doi:10.1021/j100327a031)
    • (1988) J. Phys. Chem. , vol.92 , pp. 4712-4719
    • Rehage, H.1    Hoffmann, H.2
  • 9
    • 0010275044 scopus 로고    scopus 로고
    • Rheology of polymers near liquid-solid transitions
    • Berlin, Germany: Springer
    • Winter HH, MoursM. 1997 Rheology of polymers near liquid-solid transitions. In Advances in polymer science, vol. 134, pp. 165-234. Berlin, Germany: Springer.
    • (1997) Advances in Polymer Science , vol.134 , pp. 165-234
    • Winter, H.H.1    Mours, M.2
  • 10
    • 34250085548 scopus 로고
    • Rheology of concentrated microgel solutions
    • doi:10.1007/BF01329353
    • Ketz RJ, Prud'homme RK, Graessley WW. 1988 Rheology of concentrated microgel solutions. Rheol. Acta 27, 531-539. (doi:10.1007/BF01329353)
    • (1988) Rheol. Acta , vol.27 , pp. 531-539
    • Ketz, R.J.1    Prud'Homme, R.K.2    Graessley, W.W.3
  • 11
    • 0023824816 scopus 로고
    • Foam rheology. III. Measurement of shear flow properties
    • DOI 10.1122/1.549964
    • Khan SA, Schnepper CA, Armstrong RC. 1988 Foam rheology. III. Measurement of shear flow properties. J. Rheol. 32, 69-92. (doi:10.1122/1.549964) (Pubitemid 20649289)
    • (1988) Journal of Rheology , vol.32 , Issue.1 , pp. 69-92
    • Khan Saad, A.1    Schnepper Carol, A.2    Armstrong Robert, C.3
  • 12
    • 4243591791 scopus 로고
    • Linear viscoelasticity of colloidal hard sphere suspensions near the glass transition
    • doi:10.1103/PhysRevLett.75.2770
    • Mason TG, Weitz DA. 1995 Linear viscoelasticity of colloidal hard sphere suspensions near the glass transition. Phys. Rev. Lett. 75, 2770-2773. (doi:10.1103/PhysRevLett.75.2770)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2770-2773
    • Mason, T.G.1    Weitz, D.A.2
  • 15
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • doi:10.1016/S0370-1573(00)00070-3
    • Metzler R, Klafter J. 2000 The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 339, 1-77. (doi:10.1016/S0370-1573(00)00070-3)
    • (2000) Phys. Rep. , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 16
    • 80054969068 scopus 로고    scopus 로고
    • Size dependence of microprobe dynamics during gelation of a discotic colloidal clay
    • doi:10.1122/1.3532979
    • Rich JP, McKinley GH, Doyle PS. 2011 Size dependence of microprobe dynamics during gelation of a discotic colloidal clay. J. Rheol. 55, 273. (doi:10.1122/1.3532979)
    • (2011) J. Rheol. , vol.55 , pp. 273
    • Rich, J.P.1    McKinley, G.H.2    Doyle, P.S.3
  • 17
    • 0022694827 scopus 로고
    • Analysis of linear viscoelasticity of a crosslinking polymer at the gel point
    • DOI 10.1122/1.549853
    • Winter HH, Chambon F. 1986 Analysis of linear viscoelasticity of a crosslinking polymer at the gel point. J. Rheol. 30, 367-382. (doi:10.1122/1.549853) (Pubitemid 16535398)
    • (1986) Journal of Rheology , vol.30 , Issue.2 , pp. 367-382
    • Winter H.Henning1    Chambon Francois2
  • 18
    • 79960109499 scopus 로고    scopus 로고
    • Linear and nonlinear rheology of living cells
    • doi:10.1146/annurev-matsci-062910-100351
    • Kollmannsberger P, Fabry B. 2011 Linear and nonlinear rheology of living cells. Annu. Rev. Mater. Res. 41, 75-97. (doi:10.1146/annurev-matsci-062910- 100351)
    • (2011) Annu. Rev. Mater. Res. , vol.41 , pp. 75-97
    • Kollmannsberger, P.1    Fabry, B.2
  • 19
    • 50349117552 scopus 로고
    • The role of psychophysics in rheology
    • doi:10.1016/0095-8522(47)90007-X
    • Scott-Blair GW. 1947 The role of psychophysics in rheology. J. Colloid Sci. 2, 21-32. (doi:10.1016/0095-8522(47)90007-X)
    • (1947) J. Colloid Sci. , vol.2 , pp. 21-32
    • Scott-Blair, G.W.1
  • 20
    • 0000266650 scopus 로고
    • A new general law of deformation
    • doi:10.1016/S0016-0032(21)90171-6
    • Nutting P. 1921 A new general law of deformation. J. Franklin Inst. 191, 679-685. (doi:10.1016/S0016-0032(21)90171-6)
    • (1921) J. Franklin Inst. , vol.191 , pp. 679-685
    • Nutting, P.1
  • 22
    • 0021440218 scopus 로고
    • Applications of fractional calculus to the theory of viscoelasticity
    • Koeller RC. 1984 Applications of fractional calculus to the theory of viscoelasticity. J. Appl. Mech. 51, 299-307. (doi:10.1115/1.3167616) (Pubitemid 14583151)
    • (1984) Journal of Applied Mechanics, Transactions ASME , vol.51 , Issue.2 , pp. 299-307
    • Koeller, R.C.1
  • 23
    • 67649154697 scopus 로고    scopus 로고
    • Time-fractional derivatives in relaxation processes: A tutorial survey
    • Mainardi F, Gorenflo R. 2008 Time-fractional derivatives in relaxation processes: a tutorial survey. Fract. Calculus Appl. Anal. 10, 269-308.
    • (2008) Fract. Calculus Appl. Anal. , vol.10 , pp. 269-308
    • Mainardi, F.1    Gorenflo, R.2
  • 24
    • 84872317714 scopus 로고
    • The subjective conception of the firmness of soft materials
    • doi:10.2307/1417080
    • Scott-Blair GW, Coppen F. 1942 The subjective conception of the firmness of soft materials. Am. J. Psychol. 55, 215-229. (doi:10.2307/1417080)
    • (1942) Am. J. Psychol. , vol.55 , pp. 215-229
    • Scott-Blair, G.W.1    Coppen, F.2
  • 25
    • 0020765202 scopus 로고
    • Theoretical basis for the application of fractional calculus to viscoelasticity
    • DOI 10.1122/1.549724
    • Bagley RL, Torvik PJ. 1983 A theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 27, 201. (doi:10.1122/1. 549724) (Pubitemid 13540406)
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 26
    • 0344252790 scopus 로고
    • A theory of the linear viscoelastic properties of dilute solutions of coiling polymers
    • doi:10.1063/1.1699180
    • Rouse PE. 1953 A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J. Chem. Phys. 21, 1272. (doi:10.1063/1.1699180)
    • (1953) J. Chem. Phys. , vol.21 , pp. 1272
    • Rouse, P.E.1
  • 27
    • 0008599628 scopus 로고
    • Fractional relaxation equations for viscoelasticity and related phenomena
    • doi:10.1007/3-540-53996-5457
    • Nonnenmacher T. 1991 Fractional relaxation equations for viscoelasticity and related phenomena. Rheol. Model. Thermodyn. Stat. Approaches 381, 309-320. (doi:10.1007/3-540- 53996-447)
    • (1991) Rheol. Model. Thermodyn. Stat. Approaches , vol.381 , pp. 309-320
    • Nonnenmacher, T.1
  • 28
    • 36149037022 scopus 로고
    • Hierarchical analogues to fractional relaxation equations
    • doi:10.1088/0305-4470/26/19/034
    • Schiessel H, Blumen A. 1993 Hierarchical analogues to fractional relaxation equations. J. Phys. A 26, 5057-5069. (doi:10.1088/0305-4470/26/19/ 034)
    • (1993) J. Phys. A , vol.26 , pp. 5057-5069
    • Schiessel, H.1    Blumen, A.2
  • 30
    • 0342619501 scopus 로고    scopus 로고
    • Constitutive behavior modeling and fractional derivatives
    • (eds DA Siginer, D De Kee, RP Chhabra). Rheology Series, Elsevier. (doi:10.1016/ S0169-3107(99)80038-0
    • Friedrich C, Schiessel H, Blumen A. 1999 Constitutive behavior modeling and fractional derivatives. In Advances in the flow and rheology of non-Newtonian fluids (eds DA Siginer, D De Kee, RP Chhabra). Rheology Series, vol. 8, pp. 429-266. Elsevier. (doi:10.1016/ S0169-3107(99)80038-0)
    • (1999) Advances in the Flow and Rheology of Non-Newtonian Fluids , vol.8 , pp. 429-266
    • Friedrich, C.1    Schiessel, H.2    Blumen, A.3
  • 31
    • 22244470069 scopus 로고
    • Limitations of the Newtonian time scale in relation to non-equilibrium rheological states and a theory of quasi-properties
    • doi:10.1098/rspa.1947.0029
    • Scott-Blair GW, Veinoglou BC, Caffyn JE. 1947 Limitations of the Newtonian time scale in relation to non-equilibrium rheological states and a theory of quasi-properties. Proc. R. Soc. Lond. A 189, 69-87. (doi:10.1098/rspa.1947.0029)
    • (1947) Proc. R. Soc. Lond. A , vol.189 , pp. 69-87
    • Scott-Blair, G.W.1    Veinoglou, B.C.2    Caffyn, J.E.3
  • 33
    • 30644461243 scopus 로고    scopus 로고
    • On certain applications of fractional calculus to viscoelasticity
    • doi:10.1023/A:1020574305792
    • Surguladze T. 2002 On certain applications of fractional calculus to viscoelasticity. J. Math. Sci. 112, 4517-4557. (doi:10.1023/A:1020574305792)
    • (2002) J. Math. Sci. , vol.112 , pp. 4517-4557
    • Surguladze, T.1
  • 34
    • 84864471568 scopus 로고    scopus 로고
    • Fractional viscoelastic models: Master curve construction, interconversion, and numerical approximation
    • doi:10.1007/s00397- 012-0625-y
    • Katicha SW, Flintsch GW. 2012 Fractional viscoelastic models: master curve construction, interconversion, and numerical approximation. Rheol. Acta 51, 675-689. (doi:10.1007/s00397- 012-0625-y)
    • (2012) Rheol. Acta , vol.51 , pp. 675-689
    • Katicha, S.W.1    Flintsch, G.W.2
  • 35
    • 0000513962 scopus 로고
    • Generalized Cole-Cole behavior and its rheological relevance
    • doi:10.1007/BF00418328
    • Friedrich C, Braun H. 1992 Generalized Cole-Cole behavior and its rheological relevance. Rheol. Acta 31, 309-322. (doi:10.1007/BF00418328)
    • (1992) Rheol. Acta , vol.31 , pp. 309-322
    • Friedrich, C.1    Braun, H.2
  • 36
    • 0020751558 scopus 로고
    • Fractional calculus: A different approach to the analysis of viscoelastically damped structures
    • doi:10.2514/3.8142
    • Bagley RL, Torvik PJ. 1983 Fractional calculus: a different approach to the analysis of viscoelastically damped structures. AIAA J. 21 741-748. (doi:10.2514/3.8142)
    • (1983) AIAA J , vol.21 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 37
    • 0021439912 scopus 로고
    • On the appearance of the fractional derivative in the behavior of real materials
    • doi:10.1115/1.3167615
    • Torvik PJ, Bagley RL. 1984 On the appearance of the fractional derivative in the behavior of real materials. J. Appl. Mech. 51, 294. (doi:10.1115/1. 3167615)
    • (1984) J. Appl. Mech. , vol.51 , pp. 294
    • Torvik, P.J.1    Bagley, R.L.2
  • 38
    • 34147203638 scopus 로고
    • Relaxation and retardation functions of the Maxwell model with fractional derivatives
    • doi:10.1007/BF01134604
    • Friedrich C. 1991 Relaxation and retardation functions of the Maxwell model with fractional derivatives. Rheol. Acta 30, 151-158. (doi:10.1007/ BF01134604)
    • (1991) Rheol. Acta , vol.30 , pp. 151-158
    • Friedrich, C.1
  • 39
    • 0001488637 scopus 로고
    • Fractal rheological models and fractional differential equations for viscoelastic behavior
    • doi:10.1007/BF00437306
    • HeymansN, Bauwens JC. 1994 Fractal rheological models and fractional differential equations for viscoelastic behavior. Rheol. Acta 33, 210-219. (doi:10.1007/BF00437306)
    • (1994) Rheol. Acta , vol.33 , pp. 210-219
    • Heymansn, B.J.C.1
  • 40
    • 0002717771 scopus 로고
    • Relaxation functions of rheological constitutive equations with fractional derivatives: Thermodynamical constraints
    • Berlin Germany: Springer
    • Friedrich C. 1991 Relaxation functions of rheological constitutive equations with fractional derivatives: thermodynamical constraints. In Rheological modelling: thermodynamical and statistical approaches, pp. 321-330. Berlin, Germany: Springer.
    • (1991) Rheological Modelling: Thermodynamical and Statistical Approaches , pp. 321-330
    • Friedrich, C.1
  • 41
    • 0031285474 scopus 로고    scopus 로고
    • On the thermodynamics of fractional damping elements
    • DOI 10.1007/s001610050057
    • Lion A. 1997 On the thermodynamics of fractional damping elements. Contin. Mech. Thermodyn. 9, 83-96. (doi:10.1007/s001610050057) (Pubitemid 127062721)
    • (1997) Continuum Mechanics and Thermodynamics , vol.9 , Issue.2 , pp. 83-96
    • Lion, A.1
  • 43
    • 79957507854 scopus 로고    scopus 로고
    • Rheology of globular proteins: Apparent yield stress, high shear rate viscosity and interfacial viscoelasticity of bovine serum albumin solutions
    • doi:10.1039/c0sm01312a
    • Sharma V, Jaishankar A, Wang Y-C, McKinley GH. 2011 Rheology of globular proteins: apparent yield stress, high shear rate viscosity and interfacial viscoelasticity of bovine serum albumin solutions. Soft Matter 7, 5150-5160. (doi:10.1039/c0sm01312a)
    • (2011) Soft Matter , vol.7 , pp. 5150-5160
    • Sharma, V.1    Jaishankar, A.2    Wang, Y.-C.3    McKinley, G.H.4
  • 44
    • 0036181792 scopus 로고    scopus 로고
    • Structure and rheological properties of acacia gum dispersions
    • DOI 10.1016/S0268-005X(01)00096-0, PII S0268005X01000960
    • Sanchez C, Renard D, Robert P, Schmitt C, Lefebvre J. 2002 Structure and rheological properties of acacia gum dispersions. Food Hydrocolloids 16, 257-267. (doi:10.1016/S0268-005X(01)00096-0) (Pubitemid 34168741)
    • (2002) Food Hydrocolloids , vol.16 , Issue.3 , pp. 257-267
    • Sanchez, C.1    Renard, D.2    Robert, P.3    Schmitt, C.4    Lefebvre, J.5
  • 45
    • 79955392361 scopus 로고    scopus 로고
    • Large amplitude oscillatory shear flow of gluten dough: A model power-law gel
    • doi:10.1122/1.3570340
    • Ng TSK, McKinley GH, Ewoldt RH. 2011 Large amplitude oscillatory shear flow of gluten dough: a model power-law gel. J. Rheol. 55, 627. (doi:10.1122/1.3570340)
    • (2011) J. Rheol. , vol.55 , pp. 627
    • Tsk, N.1    McKinley, G.H.2    Ewoldt, R.H.3
  • 46
    • 0026926472 scopus 로고
    • Interrelation between continuous and discrete relaxation time spectra
    • DOI 10.1016/0377-0257(92)80043-W
    • Baumgartel M, Winter HH. 1992 Interrelation between continuous and discrete relaxation time spectra. J. Non-Newton. Fluid Mech. 44, 15-36. (doi:10.1016/0377-0257(92)80043-W) (Pubitemid 23557472)
    • (1992) Journal of Non-Newtonian Fluid Mechanics , vol.44 , pp. 15-36
    • Baumgaertel, M.1    Winter, H.H.2
  • 48
    • 79959910559 scopus 로고    scopus 로고
    • The influence of substrate creep on mesenchymal stem cell behaviour and phenotype
    • doi:10.1016/ j.biomaterials.2011.04.003
    • Cameron AR, Frith JE, Cooper-White JJ. 2011 The influence of substrate creep on mesenchymal stem cell behaviour and phenotype. Biomaterials 32, 5979-5993. (doi:10.1016/ j.biomaterials.2011.04.003)
    • (2011) Biomaterials , vol.32 , pp. 5979-5993
    • Cameron, A.R.1    Frith, J.E.2    Cooper-White, J.J.3
  • 49
    • 36649006200 scopus 로고    scopus 로고
    • Interfacial rheology of surface-active biopolymers: Acacia senegal gum versus hydrophobically modified starch
    • DOI 10.1021/bm700578z
    • Erni P, Windhab EJ, Gunde R, Graber M, Pfister B, Parker A, Fischer P. 2007 Interfacial rheology of surface-active biopolymers: Acacia senegal gum versus hydrophobically modified starch. Biomacromolecules 8, 3458-3466. (doi:10.1021/bm700578z) (Pubitemid 350193746)
    • (2007) Biomacromolecules , vol.8 , Issue.11 , pp. 3458-3466
    • Erni, P.1    Windhab, E.J.2    Gunde, R.3    Graber, M.4    Pfister, B.5    Parker, A.6    Fischer, P.7
  • 51
    • 77951248666 scopus 로고    scopus 로고
    • The interfacial viscoelastic properties and structures of human and animal Meibomian lipids
    • doi:10.1016/j.exer.2010.02.004
    • Leiske DL, Raju SR, Ketelson HA, Millar TJ, Fuller GG. 2010 The interfacial viscoelastic properties and structures of human and animal Meibomian lipids. Exp. Eye Res. 90, 598-604. (doi:10.1016/j.exer.2010.02.004)
    • (2010) Exp. Eye Res. , vol.90 , pp. 598-604
    • Leiske, D.L.1    Raju, S.R.2    Ketelson, H.A.3    Millar, T.J.4    Fuller, G.G.5
  • 52
    • 84855680604 scopus 로고    scopus 로고
    • Deformation modes of complex fluid interfaces
    • doi:10.1039/c1sm05263b
    • Erni P. 2011 Deformation modes of complex fluid interfaces. Soft Matter 7, 7586-7600. (doi:10.1039/c1sm05263b)
    • (2011) Soft Matter , vol.7 , pp. 7586-7600
    • Erni, P.1
  • 53
    • 0037453525 scopus 로고    scopus 로고
    • Dilatational rheology of BSA conformers at the air/water interface
    • doi:10.1021/la020720e
    • Cascão Pereira LG, Théodoly O, Blanch HW, Radke CJ. 2003 Dilatational rheology of BSA conformers at the air/water interface. Langmuir 19, 2349-2356. (doi:10.1021/la020720e)
    • (2003) Langmuir , vol.19 , pp. 2349-2356
    • Cascão, P.L.G.1    Théodoly, O.2    Blanch, H.W.3    Radke, C.J.4
  • 54
    • 0001164029 scopus 로고
    • Rheology of some interfacial adsorbed films of macromolecules. I. Elastic and creep phenomena
    • doi:10.1098/rspa.1963.0019
    • Biswas B, Haydon DA. 1963 The rheology of some interfacial adsorbed films of macromolecules. I. Elastic and creep phenomena. Proc. R. Soc. Lond. A 271, 296-316. (doi:10.1098/rspa.1963.0019)
    • (1963) Proc. R. Soc. Lond. A , vol.271 , pp. 296-316
    • Biswas, B.1    Haydon, D.A.2
  • 55
    • 84985226239 scopus 로고
    • Proteins at liquid interfaces. V. Shear properties
    • doi:10.1016/0021-9797(80)90290-8
    • Graham DE, Phillips MC. 1980 Proteins at liquid interfaces. V. shear properties. J. Colloid Interface Sci. 76, 240-250. (doi:10.1016/0021-9797(80) 90290-8)
    • (1980) J. Colloid Interface Sci. , vol.76 , pp. 240-250
    • Graham, D.E.1    Phillips, M.C.2
  • 56
    • 0000669682 scopus 로고
    • Surface activity and emulsifying behaviour of some Acacia gums
    • doi:10.1016/S0268-005X(88)80047-X
    • Dickinson E, Murray BS, Stainsby G, Anderson DMW. 1988 Surface activity and emulsifying behaviour of some Acacia gums. Food Hydrocolloids 2, 477-490. (doi:10.1016/S0268-005X(88)80047-X)
    • (1988) Food Hydrocolloids , vol.2 , pp. 477-490
    • Dickinson, E.1    Murray, B.S.2    Stainsby, G.3    Anderson, D.M.W.4
  • 57
    • 38849135630 scopus 로고    scopus 로고
    • Studies on Acacia exudate gums: Part VI. Interfacial rheology of Acacia senegal and Acacia seyal
    • DOI 10.1016/j.foodhyd.2007.02.008, PII S0268005X07000653
    • Elmanan M, Al-Assaf S, Phillips GO, Williams PA. 2008 Studies on Acacia exudate gums: Part VI. Interfacial rheology of Acacia senegal and Acacia seyal. Food Hydrocolloids 22, 682-689. (doi:10.1016/j.foodhyd.2007.02.008) (Pubitemid 351200555)
    • (2008) Food Hydrocolloids , vol.22 , Issue.4 , pp. 682-689
    • Elmanan, M.1    Al-Assaf, S.2    Phillips, Glyn.O.3    Williams, Peter.A.4
  • 58
    • 79952587165 scopus 로고    scopus 로고
    • PH-induced metal-ligand cross-links inspired by mussel yield self-healing polymer networks with near-covalent elastic moduli
    • doi:10.1073/pnas.1015862108
    • Holten-Andersen N, Harrington MJ, Birkedal H, Lee BP, Messersmith PB, Lee KYC, Waite JH. 2011 pH-induced metal-ligand cross-links inspired by mussel yield self-healing polymer networks with near-covalent elastic moduli. Proc. Natl Acad. Sci. USA 108, 2651-2655. (doi:10.1073/pnas.1015862108)
    • (2011) Proc. Natl Acad. Sci. USA , vol.108 , pp. 2651-2655
    • Holten-Andersen, N.1    Harrington, M.J.2    Birkedal, H.3    Lee, B.P.4    Messersmith, P.B.5    Kyc, L.6    Waite, J.H.7
  • 59
    • 0031798002 scopus 로고    scopus 로고
    • Using instrumental inertia in controlled stress rheometry
    • DOI 10.1007/s003970050110
    • Baravian C, Quemada D. 1998 Using instrumental inertia in controlled stress rheometry. Rheol. Acta 37, 223-233. (doi:10.1007/s003970050110) (Pubitemid 28519489)
    • (1998) Rheologica Acta , vol.37 , Issue.3 , pp. 223-233
    • Baravian, C.1    Quemada, D.2
  • 60
    • 40549105993 scopus 로고    scopus 로고
    • Creep ringing in rheometry or how to deal with oft-discarded data in step stress tests!
    • Ewoldt RH, McKinley GH. 2007 Creep ringing in rheometry or how to deal with oft-discarded data in step stress tests! Rheol. Bull. 76, 4-6.
    • (2007) Rheol. Bull. , vol.76 , pp. 4-6
    • Ewoldt, R.H.1    McKinley, G.H.2
  • 61
    • 33745869026 scopus 로고    scopus 로고
    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • DOI 10.1007/s00397-005-0043-5
    • Heymans N, Podlubny I. 2006 Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheol. Acta 45, 765-771. (doi:10.1007/s00397-005-0043-5) (Pubitemid 44027219)
    • (2006) Rheologica Acta , vol.45 , Issue.5 , pp. 765-771
    • Heymans, N.1    Podlubny, I.2
  • 62
    • 77949900646 scopus 로고    scopus 로고
    • Matrix approach to discretization of fractional derivatives and to solution of fractional differential equations and their systems
    • Palma deMallorca, Spain, September 2009. IEEE
    • Podlubny I, Skovranek T, Vinagre Jara BM. 2009 Matrix approach to discretization of fractional derivatives and to solution of fractional differential equations and their systems. In 2009 IEEE Conf. on Emerging Technologies and Factory Automation, Palma deMallorca, Spain, September 2009. IEEE.
    • (2009) 2009 IEEE Conf. on Emerging Technologies and Factory Automation
    • Podlubny, I.1    Skovranek, T.2    Vinagre Jara, B.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.