Hydro-mechanical coupling and strain localization in saturated porous media

6. References

• Arthur , J. and Dunstan , T. 1982 . “ «Rupture layers in granular media» ” . In IUTAM Conf. Def. Fail. Gran. Media, Balkema Edited by: Vermeer , P. and Luger , H. 453 – 9 .
   Google Scholar
• Arthur , J. , Dunstan , T. , Al-ani , Q. and Assadi , A. 1977 . «Plastic deformation and failure in granular media» . Géotechnique , 27 : 53 – 74 .
   Web of Science ®Google Scholar
• Benallal , A. and Comi , C. 2003 . «Perturbation growth and localization in fluid-saturated inelastic porous media under quasi-static loadings» . Journal of the Mechanics and Physics of Solids , 51 : 851 – 899 .
   Google Scholar
• Bésuelle , P. , Desrues , J. and Raynaud , S. 2000 . «Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell» . Int. J. Rock Mech. & Mining Sci. , 37 : 1223 – 37 .
   Web of Science ®Google Scholar
• Chambon , R. 1989 . «Une classe de lois de comportement incrémentalement non linéaires pour les sols non visqueux—résolution de quelques problèmes de cohérence» . C. R. Acad Sci. Paris , 308 : 1571 – 1576 .
   Google Scholar
• Chambon , R. , Caillerie , D. , Desrues , J. and Crochepeyre , S. 1999 . «A comparison of incremental behavior of elastoplastic and CLoE models» . International Journal for Numerical and Analytical Methods in Geomechanics , 23 : 295 – 316 .
   Google Scholar
• Chambon , R. and Collin , F. 2004a . “ «Hydro mechanical modelling of geotechnical problems using local second gradient models» ” . In Discontinuous modelling of cohesive frictional materials, 2e international Symposium on discontinuous modelling of cohesive frictional materials, Stuutgart 27–28 Septembre 2004 A.A. Balkema Edited by: Vermeer Ramm , H. E.
   Google Scholar
• Chambon , R. and Collin , F. 2004b . Proc. CDM 2004 , chapter Hydro-Mechanical numerical modelling of geotechnical problems using local second gradient models
   Google Scholar
• Chambon , R. , Crochepeyre , S. and Desrues , J. 2000 . «Localization criteria for non linear constitutive equations of geomaterials» . Mechanics of Cohesive-Frictional Materials , 5 : 561 – 582 .
   Google Scholar
• Chambon , R. , Desrues , J. , Charlier , R. and Hammad , W. 1994a . «CLoE, a New Rate Type Constitutive Model for Geomaterials: Theoretical Basis and Implementation» . Int. J. Num. Anal. Meth. Geom. , 18 ( n° 4 ) : 253 – 278 .
   Google Scholar
• Chambon , R. , Desrues , J. , Charlier , R. and Hammad , W. 1994b . «CLoE, a New Rate Type Constitutive Model for Geomaterials: Theoretical Basis and Implementation» . Int. J. Num. Anal. Meth. Geom. , 18 ( n° 4 ) : 253 – 278 .
   Google Scholar
• Charlier , R. 1987 . «Approche unifiée de quelques problèmes non linéaires de mécanique des milieux continus par la méthode des éléments finis» Thèse de doctorat
   Google Scholar
• Collin , F. 2003 . «Couplages thermo-hydro-mécaniques dans les sols et les roches tendres partielle-ment saturés» Thèse de doctorat
   Google Scholar
• Desrues , J. 1984 . «La localisation de la déformation dans les matériaux granulaires» Thèse de Doctorat es Sciences
   Google Scholar
• Desrues , J. 1990 . Geomaterials constitutive equations and modelling 283 – 310 . Elsevier . chapter Shear Band Initiation in Granular Materials: Experimentation and Theory
   Google Scholar
• Desrues , J. and Chambon , R. 1989 . «Shear band analysis for granular materials: the question of incremental non linearity» . Ingenieur Archiv , 59 : 187 – 196 .
   Web of Science ®Google Scholar
• Desrues , J. and Chambon , R. 2002 . «Shear bands Analysis and Shear Moduli Calibration» . Int. Journal Solids and Structures , 39 ( n° 13–14 ) : 3757 – 3776 .
   Google Scholar
• Desrues , J. , Chambon , R. , Mokni , M. and Mazerolle , F. 1996 . «Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography» . Géotechnique , 46 ( n° 3 ) : 529 – 546 .
   Google Scholar
• Desrues , J. , Lanier , J. and Stutz , P. 1985 . «Localization of the deformation in tests on sand sample» . Engineering fracture mechanics , 21 : 909 – 921 .
   Web of Science ®Google Scholar
• Desrues , J. and Viggiani , G. 2004 . «Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry» . Int. Journal for Numerical and Analytical methods in Geomechanics , 28 ( n° 4 ) : 279 – 321 .
   Web of Science ®Google Scholar
• Ehlers , W. and Volf , W. 1999 . «Localization Phenomena in Liquid-Saturated and Empty Porous Solids» . Transport in Porous Media: 159–177, 1999 , 34 : 159 – 177 .
   Google Scholar
• Finno , R. , Harris , W. , Mooney , M. and Viggiani , G. 1996 . «Strain Localization and Undrained Steady State of Sands» . Journal of Geotechnical Engineering, ASCE , 122 ( n° 6 ) : 462 – 473 .
   Google Scholar
• Finno , R. , Harris , W. , Mooney , M. and Viggiani , G. 1997 . «Shear bands in Plane Strain Compression of Loose Sand» . Géotechnique , 47 ( n° 1 ) : 149 – 165 .
   Web of Science ®Google Scholar
• Han , C. and Vardoulakis , I. 1991 . «Plane-strain compression experiments on water-saturated fine-grained sand» . Géotechnique , 41 ( n° 1 ) : 49 – 78 .
   Web of Science ®Google Scholar
• Hill , R. 1958 . «A general theory of uniqueness and stability in elastoplastic solids» . JMPS , 6 : 236 – 49 .
   Google Scholar
• Kolymbas , D. 1981 . «Bifurcation Analysis for Samples with a Non-Linear Constitutive Equation» . Ingenieur-Archiv , 50 : 131 – 140 .
   Google Scholar
• Kolymbas , D. 1991 . «An outline of Hypoplasticity» . Archive of applied mechanics , 61 : 143 – 151 .
   Web of Science ®Google Scholar
• Loret , B. and Prevost , J. 1991 . «Dynamic Strain Localization in Fluid-Saturated Porous Media» . Journal of Engineering Mechanics , 117 ( n° 4 ) : 907 – 922 .
   Web of Science ®Google Scholar
• Mokni , M. and Desrues , J. 1999 . «Strain localisation measurements in undrained plane-strain biaxial tests on Hostun RF sand» . Mechanics of cohesive-frictional materials , 4 : 419 – 441 .
   Web of Science ®Google Scholar
• Raniecki , B. and Bruhns , O. 1981 . «Bounds to Bifurcation Stresses in Solids with non associated flow rules at finite strain» . JMPS , 29 : 153 – 72 .
   Google Scholar
• Rice , J. 1976 . Theoretical and Applied Mechanics North-Holland Publishing Company, chapter The Localization of Plastic Deformation 207 – 220 .
   Google Scholar
• Rice , J. and Rudnicki , J. 1980 . «A note on some features of the theory of the localization of deformation» . Int. J. Solids Struct. , 16 : 597 – 605 .
   Web of Science ®Google Scholar
• Roger , V. , Desrues , J. and Viggiani , G. 1998 . “ «Experiments on strain Localisation in dense sand under isochoric conditions» ” . In O. F., Localisation and Bifurcation Theory for Soils and Rocks, 4th Workshop on Localization and Bifurcation Theory for Soils and Rocks, Gifu (Japan) 28 septembre-2 octobre 1997 Balkema 239 – 248 .
   Google Scholar
• Rudnicki , J. and Rice , J. 1975 . «Conditions for the localisation of deformation in pressure sensitive dilatant materials» . JMPS , 23 : 371 – 394 .
   Google Scholar
• Schrefler , B. , Sanavia , L. and Majorana , C. 1996 . «A multiphase medium model for localization and post localisation simulation in geomaterials» . Mech. Of Cohes.-Frict. Mat. , 1 : 95 – 114 .
   Google Scholar
• Tamagnini , C. , Viggiani , G. and Chambon , R. 2000 . A review of two different approaches to hypoplasticity 107 – 145 . Springer .
   Google Scholar
• Tamagnini , C. , Viggiani , G. and Chambon , R. 2001 . Some remarks on shear band analysis in hypoplasticity Balkema 85 – 93 .
   Google Scholar
• Tatsuoka , F. , Nakamura , T. , Huang , C. and Tani , K. 1990 . «Strenght anisotropy and shear band direction in plane strain test of sand» . Soils and Foundations , 30 ( n° 1 ) : 35 – 54 .
   Google Scholar
• Tatsuoka , F. , Sakamoto , M. , Kawamura , T. and Fukushima , S. 1986 . «Strenght and deformation characteristics of sand in plane strain compression at extremely low pressures» . Soils and Foundations , 26 ( n° 1 ) : 65 – 84 .
   Google Scholar
• Vardoulakis , I. 1996a . «Deformation of water-saturated sand: I. uniform undrained deformation and shear banding.» . Géotechnique , 46 ( n° 3 ) : 441 – 456 .
   Web of Science ®Google Scholar
• Vardoulakis , I. 1996b . «Deformation of water-saturated sand: II. effect of pore water flow and shear banding» . Géotechnique , 46 ( n° 3 ) : 457 – 472 .
   Web of Science ®Google Scholar
• Vardoulakis , I. , Goldscheider , M. and Gudehus , Q. 1978 . «Formation of shear bands in sand bodies as a bifurcation problem» . Int. J. Num. Anal. Meth. Geom. , 2 : 99 – 128 .
   Web of Science ®Google Scholar
• Vardoulakis , I. and Graf , B. 1985 . «Calibration of constitutive models for granular materials using data from biaxial experiments» . Géotechnique , 35 ( n° 3 ) : 299 – 317 .
   Web of Science ®Google Scholar