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Volumn 22, Issue 5, 2010, Pages 391-411

Important aspects in the formulation of solid-fluid debris-flow models. Part II. Constitutive modelling

Author keywords

Debris flow; Frictional material; Pressure equilibrium; Second law of thermodynamics; Solid fluid mixture

Indexed keywords

BINARY MIXTURES; DEBRIS; HEAT FLUX; PHASE SEPARATION;

EID: 77955773408     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-010-0154-9     Document Type: Article
Times cited : (21)

References (47)
  • 1
    • 33847106785 scopus 로고    scopus 로고
    • Plasticity and geophysical flows: A review
    • DOI 10.1016/j.jnnfm.2006.05.005, PII S037702570600108X, Viscoplastic fluids: From theory to application
    • C. Ancey 2007 Plasticity and geophysical flows: a review J. Non Newton. Fluid Mech. 142 4 35 1143.76315 10.1016/j.jnnfm.2006.05.005 (Pubitemid 46291636)
    • (2007) Journal of Non-Newtonian Fluid Mechanics , vol.142 , Issue.1-3 , pp. 4-35
    • Ancey, C.1
  • 2
    • 0015474741 scopus 로고
    • 2
    • 0246.76108 10.1017/S0022112072002435 1972JFM.56.401B
    • 2 J. Fluid Mech. 56 401 427 0246.76108 10.1017/S0022112072002435 1972JFM....56..401B
    • (1972) J. Fluid Mech. , vol.56 , pp. 401-427
    • Batchelor, G.1    Green, J.2
  • 3
    • 0344389160 scopus 로고
    • Modelling of critical stress in hypoplasticity
    • A. Balkema (ed.)
    • Bauer, B.: Modelling of critical stress in hypoplasticity. In: A. Balkema (ed.) Proceedings of the NUMOG V, pp. 15-20 (1995)
    • (1995) Proceedings of the NUMOG v , pp. 15-20
    • Bauer, B.1
  • 4
    • 0030109474 scopus 로고    scopus 로고
    • Calibration of a comprehensive constitutive equation for granular materials
    • B. Bauer 1996 Calibration of a comprehensive constitutive equation for granular materials Soils Found. 36 1 13 26
    • (1996) Soils Found. , vol.36 , Issue.1 , pp. 13-26
    • Bauer, B.1
  • 6
    • 0002605882 scopus 로고    scopus 로고
    • Bifurcation par localisation et non linéarité incrémentale: un example heuristique d'analyse complete
    • Presses ENPC, paris (1985) (French)
    • Chambon, R., Desrues, J.: Bifurcation par localisation et non linéarité incrémentale: un example heuristique d'analyse complete. In: Plastic Instability, pp. 101-113. Presses ENPC, paris (1985) (French)
    • Plastic Instability , pp. 101-113
    • Chambon, R.1    Desrues, J.2
  • 7
    • 0028166507 scopus 로고
    • CloE: A new rate-type constitutive model for geomaterials. Theoretical basis and implementation
    • 0809.73049 10.1002/nag.1610180404
    • R. Chambon J. Desrues W. Hammad R. Charlier 1994 CloE: a new rate-type constitutive model for geomaterials. Theoretical basis and implementation Int. J. Numer. Anal. Methods Geomech. 18 253 278 0809.73049 10.1002/nag.1610180404
    • (1994) Int. J. Numer. Anal. Methods Geomech. , vol.18 , pp. 253-278
    • Chambon, R.1    Desrues, J.2    Hammad, W.3    Charlier, R.4
  • 8
    • 38749118976 scopus 로고    scopus 로고
    • Volume-weighted mixture theory for granular materials
    • 1170.74318 10.1007/s00161-007-0064-7 2008CMT.19.457C
    • K.C. Chen Y.C. Tai 2008 Volume-weighted mixture theory for granular materials Continuum Mech. Thermodyn. 19 7 457 474 1170.74318 10.1007/s00161-007-0064-7 2008CMT....19..457C
    • (2008) Continuum Mech. Thermodyn. , vol.19 , Issue.7 , pp. 457-474
    • Chen, K.C.1    Tai, Y.C.2
  • 10
    • 0025235051 scopus 로고
    • The expression of rheological laws in incremental form and the main classes of constitutive equations
    • F. Darve (eds). Elsevier Amsterdam
    • Darve F.: The expression of rheological laws in incremental form and the main classes of constitutive equations. In: Darve, F. (eds) Geomaterials: Constitutive Equations and Modelling., pp. 123-148. Elsevier, Amsterdam (1990)
    • (1990) Geomaterials: Constitutive Equations and Modelling , pp. 123-148
    • Darve, F.1
  • 11
    • 0011873466 scopus 로고
    • Viscosity of biomaterials
    • 10.1080/00986448008912535
    • D. De Kee G. Turcotte 1980 Viscosity of biomaterials Chem. Eng. Commun. 6 273 282 10.1080/00986448008912535
    • (1980) Chem. Eng. Commun. , vol.6 , pp. 273-282
    • De Kee, D.1    Turcotte, G.2
  • 12
    • 84979113075 scopus 로고
    • Eine neue Bestimmung der Molekueldimensionen
    • 10.1002/andp.19063240204 1906AnP.19.289E (German)
    • A. Einstein 1906 Eine neue Bestimmung der Molekueldimensionen Annalen der Physik 19 289 10.1002/andp.19063240204 1906AnP....19..289E (German)
    • (1906) Annalen der Physik , vol.19 , pp. 289
    • Einstein, A.1
  • 13
    • 84976432379 scopus 로고
    • Berichtigung zu meiner Arbeit "eine neue Bestimmung der Molekueldimensionen"
    • 10.1002/andp.19113390313 1911AnP.34.591E (German)
    • A. Einstein 1911 Berichtigung zu meiner Arbeit "eine neue Bestimmung der Molekueldimensionen" Annalen der Physik 34 591 10.1002/andp. 19113390313 1911AnP....34..591E (German)
    • (1911) Annalen der Physik , vol.34 , pp. 591
    • Einstein, A.1
  • 14
    • 38749087295 scopus 로고    scopus 로고
    • A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material, part II. normal stress difference in a viscometric flow, and an unsteady flow with a moving boundary
    • 1170.74308 10.1007/s00161-007-0063-8 2373025 2008CMT.19.441F
    • C. Fang C.H. Lee 2008 A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material, part II. normal stress difference in a viscometric flow, and an unsteady flow with a moving boundary Continuum Mech. Thermodyn. 19 7 441 455 1170.74308 10.1007/s00161-007-0063-8 2373025 2008CMT....19..441F
    • (2008) Continuum Mech. Thermodyn. , vol.19 , Issue.7 , pp. 441-455
    • Fang, C.1    Lee, C.H.2
  • 15
    • 38749101035 scopus 로고    scopus 로고
    • A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material, part I. on thermodynamically consistent evolution
    • 1170.74309 10.1007/s00161-007-0062-9 2373024 2008CMT.19.423F
    • C. Fang Y. Wang K. Hutter 2008 A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material, part I. on thermodynamically consistent evolution Continuum Mech. Thermodyn. 19 7 423 440 1170.74309 10.1007/s00161-007-0062-9 2373024 2008CMT....19..423F
    • (2008) Continuum Mech. Thermodyn. , vol.19 , Issue.7 , pp. 423-440
    • Fang, C.1    Wang, Y.2    Hutter, K.3
  • 16
    • 27144514723 scopus 로고
    • Konsistenzmessungen von gummi-benzol-lösungen
    • 10.1007/BF01432034 (German)
    • W. Herschel R. Bulkley 1926 Konsistenzmessungen von gummi-benzol- lösungen Kolloid Z. 39 291 300 10.1007/BF01432034 (German)
    • (1926) Kolloid Z. , vol.39 , pp. 291-300
    • Herschel, W.1    Bulkley, R.2
  • 17
    • 84953677077 scopus 로고
    • The existence of static yield stresses in suspensions containing non-colloidal particles
    • 10.1122/1.550442 1993JRheo.37.215H
    • D. Husband N. Aksel W. Geissle 1993 The existence of static yield stresses in suspensions containing non-colloidal particles J. Rheol. 37 215 235 10.1122/1.550442 1993JRheo..37..215H
    • (1993) J. Rheol. , vol.37 , pp. 215-235
    • Husband, D.1    Aksel, N.2    Geissle, W.3
  • 19
    • 0000082555 scopus 로고    scopus 로고
    • Thermodynamically based mixture models of saturated and unsaturated soils
    • 10.1002/(SICI)1099-1484(199907)4:4<295::AID-CFM64>3.0.CO;2-9
    • K. Hutter L. Laloui L. Vulliet 1999 Thermodynamically based mixture models of saturated and unsaturated soils Mech. Cohesive Frict. Mater. 4 295 338 10.1002/(SICI)1099-1484(199907)4:4<295::AID-CFM64>3.0.CO;2-9
    • (1999) Mech. Cohesive Frict. Mater. , vol.4 , pp. 295-338
    • Hutter, K.1    Laloui, L.2    Vulliet, L.3
  • 20
    • 34249773440 scopus 로고
    • On flows of granular materials
    • 0804.73003 10.1007/BF01140894 1277702 1994CMT.6.81H
    • K. Hutter K. Rajagopal 1994 On flows of granular materials Continuum Mech. Thermodyn. 6 81 139 0804.73003 10.1007/BF01140894 1277702 1994CMT.....6...81H
    • (1994) Continuum Mech. Thermodyn. , vol.6 , pp. 81-139
    • Hutter, K.1    Rajagopal, K.2
  • 22
    • 0035092403 scopus 로고    scopus 로고
    • Flow of variably fluidized granular masses across three-dimensional terrain 1. Coulomb mixture theory
    • 10.1029/2000JB900329
    • R. Iverson R. Denlinger 2001 Flow of variably fluidized granular masses across three-dimensional terrain 1. Coulomb mixture theory J. Geophys. Res. Solid Earth 106 537 552 10.1029/2000JB900329
    • (2001) J. Geophys. Res. Solid Earth , vol.106 , pp. 537-552
    • Iverson, R.1    Denlinger, R.2
  • 25
    • 67349245809 scopus 로고    scopus 로고
    • A hierachy of avalanche models on arbitrary topography
    • 1167.74031 10.1007/s00707-009-0165-4
    • I. Luca K. Hutter Y.C. Tai C.Y. Kuo 2009 A hierachy of avalanche models on arbitrary topography Acta Mech. 205 121 149 1167.74031 10.1007/s00707-009- 0165-4
    • (2009) Acta Mech. , vol.205 , pp. 121-149
    • Luca, I.1    Hutter, K.2    Tai, Y.C.3    Kuo, C.Y.4
  • 26
    • 77955767852 scopus 로고    scopus 로고
    • Ph.D. thesis, Charles University Prague, Institute of Hydrology, Engineering Geology and Applied Geophysics
    • Masin, D.: Hypo-plastic models for fine-grained soils. Ph.D. thesis, Charles University Prague, Institute of Hydrology, Engineering Geology and Applied Geophysics (2006)
    • (2006) Hypo-plastic Models for Fine-grained Soils
    • Masin, D.1
  • 27
    • 14644440785 scopus 로고    scopus 로고
    • Viscosity function for yield-stress liquids
    • P. Mendes E. Dutra 2004 Viscosity function for yield-stress liquids Appl. Rheol. 14 296 302
    • (2004) Appl. Rheol. , vol.14 , pp. 296-302
    • Mendes, P.1    Dutra, E.2
  • 28
    • 0001694626 scopus 로고
    • Simple constitutive theory for a fluid-saturated porous solid
    • 10.1029/JB077i005p00890 1972JGR.77.890M
    • L. Morland 1972 Simple constitutive theory for a fluid-saturated porous solid J. Geophys. Res. 77 890 900 10.1029/JB077i005p00890 1972JGR....77..890M
    • (1972) J. Geophys. Res. , vol.77 , pp. 890-900
    • Morland, L.1
  • 29
    • 84984426485 scopus 로고
    • Theory of slow fluid-flow through porous thermoelastic matrix
    • 0394.76077
    • L. Morland 1978 Theory of slow fluid-flow through porous thermoelastic matrix Geophys. J. Royal Astron. Soc. 55 393 410 0394.76077
    • (1978) Geophys. J. Royal Astron. Soc. , vol.55 , pp. 393-410
    • Morland, L.1
  • 30
    • 0027042245 scopus 로고
    • Flow of viscous fluids through a porous deformable matrix
    • 10.1007/BF02125770 1992SGeo.13.209M
    • L. Morland 1992 Flow of viscous fluids through a porous deformable matrix Surveys Geophys. 13 209 268 10.1007/BF02125770 1992SGeo...13..209M
    • (1992) Surveys Geophys. , vol.13 , pp. 209-268
    • Morland, L.1
  • 31
    • 76149118113 scopus 로고    scopus 로고
    • Flow in a porous matrix with anisotropic structure
    • doi: 10.1007/s11242-009-9392-3
    • Morland, L.: Flow in a porous matrix with anisotropic structure. Transp. Porous Media (2009). doi: 10.1007/s11242-009-9392-3
    • (2009) Transp. Porous Media
    • Morland, L.1
  • 32
    • 0347144169 scopus 로고    scopus 로고
    • A visco-plastic model for clay and its FE implementation
    • E. Dembicki W. Cichy L. Balachowski (eds). TU Gdansk Gdansk
    • Niemunis A.: A visco-plastic model for clay and its FE implementation. In: Dembicki, E., Cichy, W., Balachowski, L. (eds) Recent Results in Mechanics of Soils and Rocks, pp. 151-162. TU Gdansk, Gdansk (1996)
    • (1996) Recent Results in Mechanics of Soils and Rocks , pp. 151-162
    • Niemunis, A.1
  • 34
    • 0023379973 scopus 로고
    • Flows of materials with yield
    • DOI 10.1122/1.549926
    • T. Papanastasiou 1987 Flows of materials with yield J. Rheol. 31 385 404 0666.76022 10.1122/1.549926 1987JRheo..31..385P (Pubitemid 18531220)
    • (1987) Journal of Rheology , vol.31 , Issue.5 , pp. 385-404
    • Papanastasiou, T.1
  • 35
    • 0002514441 scopus 로고
    • A theory of multiphase mixtures
    • C. Truesdell (eds). 2 Springer Berlin
    • Passman S., Nunziato J., Walsh E.: A theory of multiphase mixtures. In: Truesdell, C. (eds) Rational Thermodynamics, 2nd edn, pp. 286-325. Springer, Berlin (1984)
    • (1984) Rational Thermodynamics , pp. 286-325
    • Passman, S.1    Nunziato, J.2    Walsh, E.3
  • 37
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials vii. Experiments on the deformation of rubber
    • 1951RSPTA.243.251R
    • R. Rivlin D. Saunders 1951 Large elastic deformations of isotropic materials vii. Experiments on the deformation of rubber Phil. Trans. R. Soc. Lond. 243 A 252 288 1951RSPTA.243..251R
    • (1951) Phil. Trans. R. Soc. Lond. , vol.243 , Issue.A , pp. 252-288
    • Rivlin, R.1    Saunders, D.2
  • 39
    • 0001135523 scopus 로고
    • On the thermodynamics of a mixture of isotropic materials with constraints
    • 0899.73028 10.1016/0020-7225(95)00044-X 1358467
    • B. Svendsen K. Hutter 1995 On the thermodynamics of a mixture of isotropic materials with constraints Int. J. Eng. Sci. 33 2021 2054 0899.73028 10.1016/0020-7225(95)00044-X 1358467
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 2021-2054
    • Svendsen, B.1    Hutter, K.2
  • 40
    • 0033418573 scopus 로고    scopus 로고
    • Constitutive models for granular materials including quasi-static frictional behaviour: Toward a thermodynamic theory of plasticity
    • 10.1007/s001610050115 1710675 1999CMT.11.263S
    • B. Svendsen K. Hutter L. Laloui 1999 Constitutive models for granular materials including quasi-static frictional behaviour: Toward a thermodynamic theory of plasticity Continuum Mech. Thermodyn. 4 263 275 10.1007/s001610050115 1710675 1999CMT....11..263S
    • (1999) Continuum Mech. Thermodyn. , vol.4 , pp. 263-275
    • Svendsen, B.1    Hutter, K.2    Laloui, L.3
  • 41
  • 42
    • 0003532779 scopus 로고    scopus 로고
    • C. Truesdell W. Noll S.S. Antman (eds). 3 Springer Berlin
    • Truesdell, C., Noll, W., Antman, S.S. (eds): The Non-linear Field Theories of Mechanics, 3rd edn. Springer, Berlin (2004)
    • (2004) The Non-linear Field Theories of Mechanics
  • 43
    • 0030198126 scopus 로고    scopus 로고
    • A hypoplastic relation for granular materials with a predefined limit state surface
    • 10.1002/(SICI)1099-1484(199607)1:3<251::AID-CFM13>3.3.CO;2-V
    • P. von Wolffersdorff 1996 A hypoplastic relation for granular materials with a predefined limit state surface Mech. Cohesive Frict. Mater. 1 251 271 10.1002/(SICI)1099-1484(199607)1:3<251::AID-CFM13>3.3.CO;2-V
    • (1996) Mech. Cohesive Frict. Mater. , vol.1 , pp. 251-271
    • Von Wolffersdorff, P.1
  • 44
    • 0002413148 scopus 로고
    • A new interpretation of viscosity and yield stress in dense slurries; Coal and other irregular particles
    • 10.1007/BF01329266
    • C. Wildemuth M. Wiliams 1985 A new interpretation of viscosity and yield stress in dense slurries; coal and other irregular particles Rheol. Acta 24 75 91 10.1007/BF01329266
    • (1985) Rheol. Acta , vol.24 , pp. 75-91
    • Wildemuth, C.1    Wiliams, M.2
  • 46
  • 47
    • 26844449894 scopus 로고    scopus 로고
    • Non-Newtonian fluids with a yield stress
    • DOI 10.1016/j.jnnfm.2005.06.001, PII S037702570500162X
    • H. Zhu Y. Kim D. Kee 2005 Non-Newtonian fluids with a yield stress J. Non-Newton. Fluid Mech. 129 177 181 10.1016/j.jnnfm.2005.06.001 (Pubitemid 41447745)
    • (2005) Journal of Non-Newtonian Fluid Mechanics , vol.129 , Issue.3 , pp. 177-181
    • Zhu, H.1    Kim, Y.D.2    De Kee, D.3


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