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Volumn 162, Issue 1-4, 2003, Pages 111-124

Objective spin and the Rivlin-Ericksen model

(1)  VanArsdale, W E a  

a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; MATHEMATICAL MODELS; SHEAR FLOW; VISCOPLASTICITY; VISCOUS FLOW;

EID: 0038548441     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-002-0996-8     Document Type: Article
Times cited : (5)

References (32)
  • 1
    • 0000119455 scopus 로고
    • On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids
    • Stokes, G. G.: On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids. Trans. Camb. Phil. Soc. 8, 287-319 (1845).
    • (1845) Trans. Camb. Phil. Soc. , vol.8 , pp. 287-319
    • Stokes, G.G.1
  • 3
    • 0026239771 scopus 로고
    • A correlation for the pressure and temperature dependence of viscosity
    • Sorab, J., VanArsdale, W. E.: A correlation for the pressure and temperature dependence of viscosity. STLE Trib. Trans. 34, 604-610 (1991).
    • (1991) STLE Trib. Trans. , vol.34 , pp. 604-610
    • Sorab, J.1    Vanarsdale, W.E.2
  • 4
    • 0011945516 scopus 로고
    • Phenomenological models of viscoplastic, thixotropic and granular materials
    • Berker, A., VanArsdale, W. E.: Phenomenological models of viscoplastic, thixotropic and granular materials. Rheol. Acta. 31, 119-138 (1992).
    • (1992) Rheol. Acta. , vol.31 , pp. 119-138
    • Berker, A.1    Vanarsdale, W.E.2
  • 7
    • 0001225176 scopus 로고
    • Sur l'influence des frottements dans les mouvements reguliers des fluides
    • Boussinesq, J.: Sur l'influence des frottements dans les mouvements reguliers des fluides. J. Math. Pures Appl. 13, 377-438 (1868).
    • (1868) J. Math. Pures Appl. , vol.13 , pp. 377-438
    • Boussinesq, J.1
  • 8
    • 0020610591 scopus 로고
    • On the relationship between the logarithmic strain rate and the stretching tensor
    • Gurtin, M. E., Spear, K.: On the relationship between the logarithmic strain rate and the stretching tensor. Int. J. Solids Struct. 19, 437-444 (1983).
    • (1983) Int. J. Solids Struct. , vol.19 , pp. 437-444
    • Gurtin, M.E.1    Spear, K.2
  • 9
    • 0016890210 scopus 로고
    • Stress relaxation effect in elastico-viscous lubricants in gears and rollers
    • Harnoy, A.: Stress relaxation effect in elastico-viscous lubricants in gears and rollers. J. Fluid. Mech. 76, 501-517 (1976).
    • (1976) J. Fluid. Mech. , vol.76 , pp. 501-517
    • Harnoy, A.1
  • 10
    • 0017895843 scopus 로고
    • Measures of deformation and convected derivatives
    • Petrie, C. J. S.: Measures of deformation and convected derivatives. J. Non-Newtonian Fluid Mech. 5, 147 176 (1979).
    • (1979) J. Non-Newtonian Fluid Mech. , vol.5 , pp. 147-176
    • Petrie, C.J.S.1
  • 11
    • 0018469980 scopus 로고
    • Objective and generally applicable criteria for flow classification
    • Astarita, G.: Objective and generally applicable criteria for flow classification. J. Non-Newtonian Fluid Mech. 6, 69-76 (1979).
    • (1979) J. Non-Newtonian Fluid Mech. , vol.6 , pp. 69-76
    • Astarita, G.1
  • 12
    • 0006870693 scopus 로고
    • Definition d'un transport associé â un modele de fluide du deuxiem ordre. Comparison de diverses lois de comportement
    • Drouot, R.: Definition d'un transport associé â un modele de fluide du deuxiem ordre. Comparison de diverses lois de comportement. C. R. Acad. Sci. Paris A 282, 923 (1976).
    • (1976) C. R. Acad. Sci. Paris A , vol.282 , pp. 923
    • Drouot, R.1
  • 13
    • 84955029661 scopus 로고
    • Constitutive equation for modeling mixed extension and shear in polymer solution processing
    • Schunk, P. R., Scriven, L. E.: Constitutive equation for modeling mixed extension and shear in polymer solution processing. J. Rheol. 34, 1085-1119 (1990).
    • (1990) J. Rheol. , vol.34 , pp. 1085-1119
    • Schunk, P.R.1    Scriven, L.E.2
  • 15
    • 0007159339 scopus 로고
    • Comments on objective and generally applicable criteria for flow classification by G. Astarita
    • Huilgol, R. R.: Comments on objective and generally applicable criteria for flow classification by G. Astarita. J. Non-Newtonian Fluid Mech. 7, 91-95 (1980).
    • (1980) J. Non-Newtonian Fluid Mech. , vol.7 , pp. 91-95
    • Huilgol, R.R.1
  • 17
    • 0008309056 scopus 로고
    • A non-affine network model for polymer melts
    • Wedgewood, L. E., Geurts, K. R.: A non-affine network model for polymer melts. Rheol. Acta 34, 196-208 (1995).
    • (1995) Rheol. Acta , vol.34 , pp. 196-208
    • Wedgewood, L.E.1    Geurts, K.R.2
  • 18
    • 0032832725 scopus 로고    scopus 로고
    • An objective rotation tensor applied to non-Newtonian fluid mechanics
    • Wedgewood, L. E.: An objective rotation tensor applied to non-Newtonian fluid mechanics. Rheol. Acta 38, 91-99 (1999).
    • (1999) Rheol. Acta , vol.38 , pp. 91-99
    • Wedgewood, L.E.1
  • 19
    • 0016126686 scopus 로고
    • Co-rotational rheological models and the goddard expansion
    • Bird, R. B., Hassager, O., Abdel-Khalik, S. I.: Co-rotational rheological models and the goddard expansion. AIChE 20, 1041-1066 (1974).
    • (1974) AIChE , vol.20 , pp. 1041-1066
    • Bird, R.B.1    Hassager, O.2    Abdel-Khalik, S.I.3
  • 21
    • 0001526376 scopus 로고
    • Stress-deformation relations for isotropic materials
    • Rivlin, R. S., Ericksen, J. L.: Stress-deformation relations for isotropic materials. J. Rat. Mech. Anal. 4, 323-425 (1955).
    • (1955) J. Rat. Mech. Anal. , vol.4 , pp. 323-425
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 22
    • 0001507331 scopus 로고
    • The mechanical foundations of elasticity and fluid dynamics
    • Truesdell, C.: The mechanical foundations of elasticity and fluid dynamics. J. Rat. Mech. Anal. 1, 125-300 (1952).
    • (1952) J. Rat. Mech. Anal. , vol.1 , pp. 125-300
    • Truesdell, C.1
  • 23
    • 0001438758 scopus 로고
    • Isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
    • Smith, G. F.: Isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. Int. J. Engng Sci. 9, 899-916 (1971).
    • (1971) Int. J. Engng Sci. , vol.9 , pp. 899-916
    • Smith, G.F.1
  • 26
    • 0020086914 scopus 로고
    • On the free energy and stability of nonlinear fluids
    • Dunn, J. E.: On the free energy and stability of nonlinear fluids. J. Rheol. 26, 43-68 (1982).
    • (1982) J. Rheol. , vol.26 , pp. 43-68
    • Dunn, J.E.1
  • 27
    • 0038032491 scopus 로고
    • Arbitrary normal stress data and a fluid of differential type
    • Dunn, J. E.: Arbitrary normal stress data and a fluid of differential type. Rheol. Acta 29, 98-102 (1990).
    • (1990) Rheol. Acta , vol.29 , pp. 98-102
    • Dunn, J.E.1
  • 29
    • 0026802610 scopus 로고
    • Measuring the flow properties of yield stress fluids
    • Nguyen, Q. D., Boger, D. V.: Measuring the flow properties of yield stress fluids. Annl. Rev. Fluid Mech. 24, 47-88 (1992).
    • (1992) Annl. Rev. Fluid Mech. , vol.24 , pp. 47-88
    • Nguyen, Q.D.1    Boger, D.V.2
  • 30
    • 0027666983 scopus 로고
    • Derivatives of the stretch and rotation tensors
    • Chen, Y.-C.: Derivatives of the stretch and rotation tensors. J. Elasticity 32, 175-182 (1993).
    • (1993) J. Elasticity , vol.32 , pp. 175-182
    • Chen, Y.-C.1
  • 31
    • 0000105467 scopus 로고
    • Determination of the stretch and rotation in the polar decomposition of the deformation gradient
    • Hoger, A., Carlson, D. E.: Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Q. J. Appl. Math. 42, 113-117 (1984).
    • (1984) Q. J. Appl. Math. , vol.42 , pp. 113-117
    • Hoger, A.1    Carlson, D.E.2
  • 32
    • 0000813526 scopus 로고
    • Comments on the paper determination of the stretch and rotation in the polar decomposition of the deformation gradient by A. Hoger and D. E. Carlson
    • Sawyers, K.: Comments on the paper determination of the stretch and rotation in the polar decomposition of the deformation gradient by A. Hoger and D. E. Carlson. Q. J. Appl. Math. 44, 309-311 (1986).
    • (1986) Q. J. Appl. Math. , vol.44 , pp. 309-311
    • Sawyers, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.