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Volumn 31, Issue 8, 2007, Pages 1007-1032

Bifurcation and second-order work in geomaterials

Author keywords

Bifurcation; Controllability; Dry liquefaction; Large deformation; Second order work; Stability

Indexed keywords

BIFURCATION (MATHEMATICS); CONTROLLABILITY; DEFORMATION; KINETIC ENERGY; LOAD TESTING; SLOPE STABILITY; SOIL LIQUEFACTION; STRAIN;

EID: 34447094941     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.573     Document Type: Article
Times cited : (103)

References (40)
  • 2
    • 0002862730 scopus 로고
    • Sur le problème des trois corps et les équations de la dynamique, divergence des séries de M. Linstedt
    • Tome
    • Poincaré H. Sur le problème des trois corps et les équations de la dynamique, divergence des séries de M. Linstedt. Acta Matematica 1890; Tome 13:1-270.
    • (1890) Acta Matematica , vol.13 , pp. 1-270
    • Poincaré, H.1
  • 3
    • 0001878608 scopus 로고
    • Theory of bifurcation and instability in time-independent plasticity
    • Bifurcation and Stability of Dissipative Systems, Nguyen QS ed, Springer: Berlin
    • Petryk H. Theory of bifurcation and instability in time-independent plasticity. In Bifurcation and Stability of Dissipative Systems, Nguyen QS (ed.). CISM Courses and Lecturers, vol. 327. Springer: Berlin, 1993; 95-152.
    • (1993) CISM Courses and Lecturers , vol.327 , pp. 95-152
    • Petryk, H.1
  • 5
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Hill R. A general theory of uniqueness and stability in elastic-plastic solids. Journal of Mechanics and Physics of Solids 1958; 6:236-249.
    • (1958) Journal of Mechanics and Physics of Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 6
  • 7
    • 0016647841 scopus 로고
    • Conditions for the localization of deformation in pressure sensitive dilatant materials
    • Rudnicki JW, Rice J. Conditions for the localization of deformation in pressure sensitive dilatant materials. International Journal of Solids and Structures 1975; 23:371-394.
    • (1975) International Journal of Solids and Structures , vol.23 , pp. 371-394
    • Rudnicki, J.W.1    Rice, J.2
  • 8
    • 0000029293 scopus 로고
    • Controllability of the incremental response of soil specimens subjected to arbitrary loading programs
    • Nova R. Controllability of the incremental response of soil specimens subjected to arbitrary loading programs. Journal of Mechanical Behavior of Materials 1994; 5(2):193-201.
    • (1994) Journal of Mechanical Behavior of Materials , vol.5 , Issue.2 , pp. 193-201
    • Nova, R.1
  • 9
    • 0001247492 scopus 로고
    • Uniqueness and localization, I. Associative and non-associative elastoplasticity
    • Bigoni D, Hueckel T. Uniqueness and localization, I. Associative and non-associative elastoplasticity. International Journal of Solids and Structures 1991; 28(2):197-213.
    • (1991) International Journal of Solids and Structures , vol.28 , Issue.2 , pp. 197-213
    • Bigoni, D.1    Hueckel, T.2
  • 10
    • 0034316140 scopus 로고    scopus 로고
    • Instabilities in granular materials and application to landslides
    • Darve F, Laouafa F. Instabilities in granular materials and application to landslides. Mechanics of Cohesive-frictional Materials 2000; 5(8):627-652.
    • (2000) Mechanics of Cohesive-frictional Materials , vol.5 , Issue.8 , pp. 627-652
    • Darve, F.1    Laouafa, F.2
  • 11
    • 2442615380 scopus 로고    scopus 로고
    • Constitutive equations and instabilities of granular materials
    • Capriz G et al, eds, Birkhauser: Basel
    • Darve F, Laouafa F. Constitutive equations and instabilities of granular materials. In Modelling and Mechanics of Granular and Porous Materials, Capriz G et al. (eds). Birkhauser: Basel, 2002; 3-43.
    • (2002) Modelling and Mechanics of Granular and Porous Materials , pp. 3-43
    • Darve, F.1    Laouafa, F.2
  • 12
    • 0036197676 scopus 로고    scopus 로고
    • Modelling of slope failure by a material instability mechanism
    • Laouafa F, Darve F. Modelling of slope failure by a material instability mechanism. Computers and Geotechnics 2002; 24(4):301-325.
    • (2002) Computers and Geotechnics , vol.24 , Issue.4 , pp. 301-325
    • Laouafa, F.1    Darve, F.2
  • 14
    • 34447093834 scopus 로고    scopus 로고
    • Loss of uniqueness and bifurcation vs instability: Some remarks
    • Chambon R, Caillerie D, Viggiani G. Loss of uniqueness and bifurcation vs instability: some remarks. Revue Française de Génie Civil 2004; 8(5/6):517-535.
    • (2004) Revue Française de Génie Civil , vol.8 , Issue.5-6 , pp. 517-535
    • Chambon, R.1    Caillerie, D.2    Viggiani, G.3
  • 15
    • 0041498702 scopus 로고
    • On the thermodynamic background of elastic stability theory
    • SIAM: Philadelphia
    • Koïter WT. On the thermodynamic background of elastic stability theory. In Problems of Hydrodynamics and Continuum Mechanics. SIAM: Philadelphia, 1969; 423-433.
    • (1969) Problems of Hydrodynamics and Continuum Mechanics , pp. 423-433
    • Koïter, W.T.1
  • 16
    • 33845901884 scopus 로고    scopus 로고
    • Instability and ill-posedness in the deformation of plastic solids, some correlations through simple examples
    • Wang Y, Hutter K eds, Shaker: Aachen
    • Osinov VA, Wu W. Instability and ill-posedness in the deformation of plastic solids, some correlations through simple examples. In Trends in Application of Mathematics to Mechanics, Wang Y, Hutter K (eds). Shaker: Aachen, 2005; 361-370.
    • (2005) Trends in Application of Mathematics to Mechanics , pp. 361-370
    • Osinov, V.A.1    Wu, W.2
  • 20
    • 0038014905 scopus 로고    scopus 로고
    • Bifurcation and instability of non-associative elastoplastic solids
    • Material Instabilities in Elastic and Plastic Solids, Petryk H ed, Springer: Berlin
    • Bigoni D. Bifurcation and instability of non-associative elastoplastic solids. In Material Instabilities in Elastic and Plastic Solids, Petryk H (ed.). CISM Courses and Lecturers, vol. 414. Springer: Berlin, 2000; 1-52.
    • (2000) CISM Courses and Lecturers , vol.414 , pp. 1-52
    • Bigoni, D.1
  • 21
    • 0033536154 scopus 로고    scopus 로고
    • Existence and uniqueness theorems for boundary value problems involving incrementally nonlinear models
    • Chambon R, Caillerie D. Existence and uniqueness theorems for boundary value problems involving incrementally nonlinear models. International Journal of Solids and Structures 1999; 36:5089-5099.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 5089-5099
    • Chambon, R.1    Caillerie, D.2
  • 22
    • 22844452363 scopus 로고    scopus 로고
    • Some theoretical results about second-order work, uniqueness, existence and controllability independent of the constitutive equation
    • Chambon R. Some theoretical results about second-order work, uniqueness, existence and controllability independent of the constitutive equation. Journal of Engineering Mathematics 2005; 52:53-61.
    • (2005) Journal of Engineering Mathematics , vol.52 , pp. 53-61
    • Chambon, R.1
  • 24
    • 0025235051 scopus 로고
    • The expression of rheological laws in incremental form and the main classes of constitutive equations
    • Darve F ed, Taylor and Francis: London
    • Darve F. The expression of rheological laws in incremental form and the main classes of constitutive equations. In Geomaterials Constitutive Equations and Modelling, Darve F (ed.). Taylor and Francis: London, 1990; 123-148.
    • (1990) Geomaterials Constitutive Equations and Modelling , pp. 123-148
    • Darve, F.1
  • 25
    • 0008622131 scopus 로고
    • Theory of bifurcation and instability in time-independent plasticity
    • Bifurcation and Stability of Dissipative Systems, Nguyen QS ed, Springer: Berlin
    • Nguyen QS. Theory of bifurcation and instability in time-independent plasticity. In Bifurcation and Stability of Dissipative Systems, Nguyen QS (ed.), CISM Courses and Lecturers, vol. 327. Springer: Berlin, 1993; 45-94.
    • (1993) CISM Courses and Lecturers , vol.327 , pp. 45-94
    • Nguyen, Q.S.1
  • 28
    • 49949139226 scopus 로고
    • The essential structure of constitutive laws for metal composites and polycrystals
    • Hill R. The essential structure of constitutive laws for metal composites and polycrystals. Journal of the Mechanics and Physics of Solids 1967; 15(2):79-95.
    • (1967) Journal of the Mechanics and Physics of Solids , vol.15 , Issue.2 , pp. 79-95
    • Hill, R.1
  • 29
    • 0037732272 scopus 로고    scopus 로고
    • Theory of material instability in incrementally nonlinear plasticity
    • Petrik ed, Springer: Berlin
    • Petryk H. Theory of material instability in incrementally nonlinear plasticity. In CISM Material Instabilities in Elastic and Plastic Solids, Petrik (ed.), vol. 414. Springer: Berlin, 1999; 261-331.
    • (1999) CISM Material Instabilities in Elastic and Plastic Solids , vol.414 , pp. 261-331
    • Petryk, H.1
  • 30
    • 0002605683 scopus 로고
    • A comparison of some constitutive laws for soils under radially symmetric loading and unloading
    • Aachen, Wittke W eds, Balkema: Rotterdam
    • Gudehus G. A comparison of some constitutive laws for soils under radially symmetric loading and unloading. In 3rd International Conference on Numerical Methods in Geomechanics, Aachen, Wittke W (eds), vol. 4. Balkema: Rotterdam, 1979; 1309-1324.
    • (1979) 3rd International Conference on Numerical Methods in Geomechanics , vol.4 , pp. 1309-1324
    • Gudehus, G.1
  • 31
    • 18844364772 scopus 로고    scopus 로고
    • A multiscale approach to granular materials
    • Nicot F, Darve F. A multiscale approach to granular materials. Mechanics of Materials 2005; 37(9):980-1006.
    • (2005) Mechanics of Materials , vol.37 , Issue.9 , pp. 980-1006
    • Nicot, F.1    Darve, F.2
  • 35
    • 0025512206 scopus 로고
    • Instability and flow of granular materials, I: Experimental observations
    • Lade PV, Pradel D. Instability and flow of granular materials, I: experimental observations. ASCE Journal of Engineering Mechanics 1990; 116:2532-2550.
    • (1990) ASCE Journal of Engineering Mechanics , vol.116 , pp. 2532-2550
    • Lade, P.V.1    Pradel, D.2
  • 36
    • 0000809629 scopus 로고    scopus 로고
    • Chu J, Leong WK, The CI. Liquefaction and instabilities of a granular fill material. Geotechnical Testing Journal 2000; 23(2):1-15.
    • Chu J, Leong WK, The CI. Liquefaction and instabilities of a granular fill material. Geotechnical Testing Journal 2000; 23(2):1-15.
  • 37
    • 2442562881 scopus 로고    scopus 로고
    • Recent progress in experimental studies on instability of granular soil
    • Labuz JF ed, Balkema: Rotterdam
    • Chu J. Recent progress in experimental studies on instability of granular soil. In Workshop on Bifurcations and Instabilities in Geomechanics, Labuz JF (ed.). Balkema: Rotterdam, 2002.
    • (2002) Workshop on Bifurcations and Instabilities in Geomechanics
    • Chu, J.1
  • 38
    • 0025257649 scopus 로고
    • Shear band initiation in granular materials, experimentation and theory
    • Darve F ed, Elsevier, Taylor and Francis: Amsterdam, London
    • Desrues J. Shear band initiation in granular materials, experimentation and theory. In Geomaterials Constitutive Equations and Modeling, Darve F (ed.). Elsevier, Taylor and Francis: Amsterdam, London, 1990; 283-310.
    • (1990) Geomaterials Constitutive Equations and Modeling , pp. 283-310
    • Desrues, J.1
  • 39
    • 0002961766 scopus 로고
    • In A Mixed Isotropic-Kinematic Hardening Constitutive Law for Sand
    • Kolymbas D ed, Balkema: Rotterdam
    • Di Prisco C, Matiotti R, Lanier J. In A Mixed Isotropic-Kinematic Hardening Constitutive Law for Sand, Kolymbas D (ed.). Modern Approach to Plasticity. Balkema: Rotterdam, 1993; 83-124.
    • (1993) Modern Approach to Plasticity , pp. 83-124
    • Di Prisco, C.1    Matiotti, R.2    Lanier, J.3
  • 40
    • 33646057333 scopus 로고    scopus 로고
    • Micro-mechanical investigation of material instability in granular assemblies
    • Nicot F, Darve F. Micro-mechanical investigation of material instability in granular assemblies. International Journal of Solids and Structures 2006; 43:3569-3595.
    • (2006) International Journal of Solids and Structures , vol.43 , pp. 3569-3595
    • Nicot, F.1    Darve, F.2


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