Damage and fatigue

7. Bibliography

• Aas-Jackobsen , K. and Lenshow , R. 1973 . “Behavior of reinforced columns subjected to fatigue loading” . ACI Journal , 70 : 199 – 206 .
   Google Scholar
• Aifantis , E. 1987 . “The physics of plastic deformation” . Int. J. Plasticity , 3 : 211 – 247 .
   Web of Science ®Google Scholar
• Bodin , D. , Chabot , A. , de La Roche , C. and Pijaudier-Cabot , G. 2002 . “A continuum damage approach of asphalt concrete fatigue tests” . In 15th ASCE Egnineering Mechancis Conference, June 2–5 Columbia University, New York, USA 12 – 24 .
   Google Scholar
• Cantournet , S. and Desmorat , R. 2003 . “Modélisation thermodynamique du frottement interne et de l'hystérésis des élastomères, Thermodynamics modelling of internal friction and hysteresis of elastomers” . C. R. Mécanique , 331 : 265 – 270 .
   Google Scholar
• Chaboche , J. and Lesne , P. 1988 . “A non-linear continuous fatigue damage model” . Fatigue Fract. Engng Mater. Struc. , 11 : 1 – 17 .
   Web of Science ®Google Scholar
• Charlez , P. 1991 . Rock Mechanics, Theoretical fundamentals , 1 Technip, Paris
   Google Scholar
• Chiarilli , A.-S. , Shao , J. and Hoteit , N. 2003 . “Modelling of elasto-plastic damage behavior of claystone” . Int. J. Plast. , 19 : 23 – 45 .
   Google Scholar
• Conil , N. , Djéran-Maigre , Cabrillac , R. and Su , K. 2004 . “Modélisation du comportement mécanique des argilites de l'est” . Revue Française de Génie Civil , 8 : 1135 – 1156 .
   Google Scholar
• de Vree , J. , Brekelmans , W. and van Gils , M. 1995 . “Comparison of nonlocal approaches in continuum damage mechanics” . Comp. Struct. , 55 : 581 – 588 .
   Web of Science ®Google Scholar
• Denoual , C. and Hild , F. 2002 . “Dynamic fragmentation of brittle solids: a multi-scale model” . Eur. J. Mech., A/Solids , 21 : 105 – 120 .
   Google Scholar
• Desmorat , R. 2000 . Modélisation et estimation rapide de la plasticité et de l'endommagement, Habilitation à Diriger des Recherches, Technical report, Université Pierre et Marie Curie
   Google Scholar
• Desmorat , R. and Cantournet , S. 2001 . “Thermodynamics modelling of internal friction and hysteresis of elastomers” . Second European Conference on Constitutive Models for Rubber, Vienna, September 2001 ,
   Google Scholar
• Desmorat , R. , Ragueneau , F. and Pham , H. 2006 . “Continuum Damage Mechanics for hysteresis and fatigue of quasi-brittle materials and structures” . Int. J. Num. Anal. Meth. Geomat. ,
   Google Scholar
• Destrebecq , J. 2005 . Comportement Mécanique du Béton (Traité MIM, série Matériaux de construction) Lavoisier, Ed. J.M. Reynouard and G. Pijaudier-Cabot, chapter Fatigue du béton de structure 255 – 294 .
   Google Scholar
• Dubé , J. F. 1994 . Modélisation simplifiée et comportement visco-endommageable des structures en béton, PhD thesis, Université Paris 6
   Google Scholar
• Eshelby , J. D. 1957 . “The determination of the elastic field of an ellipsoidal inclusion, related problems” . Proc. Roy. Soc., London , A241, p. 376
   Google Scholar
• Fichant , S. , Laborderie , C. and Pijaudier-Cabot , G. 1999 . “Isotropic and anisotropic descriptions of damage in concrete structures” . Int. J. of Mechanics of Cohesive Frictional Materials , 4 : 339 – 359 .
   Google Scholar
• François , D. , Pineau , A. and Zaoui , A. 1993 . Comportement mécanique des matériaux. Volume 2: endommagement, mécanique de la rupture, mécanique du contact Hermès .
   Google Scholar
• Gatuingt , F. and Pijaudier-Cabot , G. 2003 . “Gurson's plasticity coupled to damage as a CAP Model for concrete compaction in dynamics” . In Constitutive Modelling of Geomaterials 12 – 24 . CRC Press .
   Google Scholar
• Geers , M. , de Borst , R. and Peerlings , R. 2000 . “Damage and crack modelling in single-edge and double-edge notched concrete beams” . Engng. Fract. Mech. , 65 : 247 – 261 .
   Web of Science ®Google Scholar
• Godvindjee , S. and Simo , J. 1991 . “A micro-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins effect” . J. Mech. Phys. Solids , 29 : 87 – 112 .
   Google Scholar
• Grzybowski , M. and Meyer , C. 1993 . “Damage accumulation in concrete with and without fiber reinforcement” . ACI Materials Journal , 90 : 594 – 604 .
   Web of Science ®Google Scholar
• Gurson , A. L. 1977 . “Continuum theory of ductile rupture by void nucleation and growth: Part-Yield criteria and flow rules for porous ductile media” . J. Engng Materials Technol. , 99 : 2 – 15 .
   Web of Science ®Google Scholar
• Halm , D. and Dragon , A. 1998 . “An anisotropic model of damage and frictional sliding for brittle materials” . European Journal of Mechanics, A/Solids , 17 : 439 – 60 .
   Web of Science ®Google Scholar
• Hart-Smith , L. 1966 . “Elasticity parameters for finite deformations of rubber-like materials” . J. Appl. Phys. , 17 : 608 – 625 .
   Google Scholar
• Hayhurst , D. and Leckie , F. A. 1973 . “The effect of creep constitutive and damage relationships upon the rupture time of a solid circular torsion bar” . J. Mech. Phys. Solids , 21 : 431 – 446 .
   Google Scholar
• Homand-Etienne , F. , Hoxha , D. and Shao , J. 1998 . “A continuum damage constitutive law for brittle rocks” . Computer and Geotechnics , 22 : 135 – 151 .
   Google Scholar
• Hua , C. and Socie , D. 1984 . “Fatigue damage in 1045 steel under constant amplitude biaxial loading” . Fatigue Eng. Mat. Struct. , 7 : 165 – 179 .
   Web of Science ®Google Scholar
• Jirasek , M. 2002a . “Numerical modeling of strong discontinuities” . Revue Française de Génie Civil , 6 : 1133 – 1146 .
   Google Scholar
• Jirasek , M. 2002b . “Objective modeling of strain localization” . Revue Française de Génie Civil , 6 : 1119 – 1132 .
   Google Scholar
• Jirasek , M. 2004 . “Non-local damage mechanics with application to concrete” . Revue Française de Génie Civil , 8 : 683 – 707 .
   Google Scholar
• Jirasek , M. and Zimmermann , T. 2001 . “Embedded crack model: Part II: Combination with smeared cracks” . Int. J. Num. Meth. Engng , 50 : 1291 1305
   Web of Science ®Google Scholar
• Kröner , E. 1961 . “On the plastic deformation of polycrystals” . Acta Metall. , 9 : 155 – 161 .
   Google Scholar
• Laborderie , C. , Berthaud , Y. and Pijaudier-Cabot , G. 1990 . “Crack closure effect in continuum damage mechanics: numerical implementation” . In Proc. 2nd Int. Conf. on ‘Computer aided analysis and design of concrete strucutures’. Zell am See, Austria, 4–6 april 975 – 986 .
   Google Scholar
• Ladevèze , P. 1995 . “Modeling and simulation of the mechanical behavior of CMCs” . High Temperature Ceramic-Matrix Composite, A. G. Evans and R. Naslain eds, Ceramic Transaction , 57 : 53 – 64 .
   Google Scholar
• Ladevèze , P. and Lemaitre , J. 1984 . “Damage effective stress in quasi unilateral conditions” . 16th International Congress of Theoretical and Applied Mechanics, Lyngby, Denmark ,
   Google Scholar
• Lambert-Diani , J. and Rey , C. 1999 . “New phenomenological behavior laws for rubbers and thermoplastic elastomers” . Eur. J. Mech. A/Solids , 18 : 1027 – 1043 .
   Web of Science ®Google Scholar
• Lemaitre , J. 1992 . A Course on Damage Mechanics Springer Verlag .
   Google Scholar
• Lemaitre , J. and Chaboche , J. L. 1978 . “Aspects phénoménologiques de la rupture par endommagement” . Journal de Mécanique Appliquée ,
   Google Scholar
• Lemaitre , J. and Chaboche , J. L. 1990 . Mécanique des matériaux solides Dunod : Cambridge University Pres . (english translation “Mechanics of Solid Materials”) 1985
   Google Scholar
• Lemaitre , J. and Desmorat , R. 2005 . Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures Springer .
   Google Scholar
• Lemaitre , J. , Desmorat , R. and Sauzay , M. 2000 . “Anisotropic damage law of evolution” . Eur. J. Mech., A/Solids , 19 : 187 – 208 .
   Web of Science ®Google Scholar
• Lemaitre , J. and Doghri , I. 1994 . “Damage 90: a post processor for crack initiation” . Comput. Methods Appl. Engng. , 115 : 197 – 232 .
   Web of Science ®Google Scholar
• Lemaitre , J. and Plumtree , A. 1984 . “Application of damage concepts to predict creep-fatigue failures” . J. Eng. Mat. Technol. , 101 : 284 – 292 .
   Google Scholar
• Manson , S. S. and Hirschberg , M. 1964 . Fatigue: An Interdisciplinary Approach Syracuse University Press, Syracuse, N.Y
   Google Scholar
• Marigo , J. 1981 . “Formulation d'une loi d'endommagement d'un matériau élastique” . C.R. Acad. Sci. Paris, série IIb , 292 : 1309 – 1312 .
   Google Scholar
• Mazars , J. 1984 . Application de la mécanique de l'endommagement au comportement non linéaire et à la rupture du béton de structure, PhD thesis, Thèse d'Etat Université Paris 6
   Google Scholar
• Mazars , J. , Berthaud , Y. and Ramtani , S. 1990 . “The unilateral behavior of damage concrete” . Eng. Fract. Mech. , 35 : 629 – 635 .
   Web of Science ®Google Scholar
• Mazars , J. and Pijaudier-Cabot , G. 1996 . “From damage to fracture mechanics and conversely: A combined approach” . Int. J. Solids Struct. , 33 : 3327 – 3342 .
   Web of Science ®Google Scholar
• Melenk , J. and Babuska , I. 1996 . “The partition of unity finite element method: Basic theory and applications” . Comp. Meth. Appl. Mech. Engng , 39 : 289 – 314 .
   Web of Science ®Google Scholar
• Meschke , G. , Lackner , R. and Mang , H. 1998 . “An anisotropic elastoplastic-damage model for plain concrete” . Int. J. Numer. Meth. Engng. , 42 : 703 – 727 .
   Web of Science ®Google Scholar
• Miehe , C. and Keck , J. 2000 . “Superimposed finite elastic-viscoelasticplastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmics implementation” . J. Mech. Phys. Solids , 48 : 323 – 365 .
   Web of Science ®Google Scholar
• Mooney , M. 1940 . “A theory of large deformations” . J. Appl. Phys. , 11 : 582 – 592 .
   Web of Science ®Google Scholar
• Moës , N. , Dolbow , J. and Belytschko , T. 1999 . “A finite element method for crack growth without remesh-ing” . Int. J. Numer. Meth. Engng. , 46 : 131 – 150 .
   Web of Science ®Google Scholar
• Murakami , S. and Kamiya , K. 1997 . “Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics” . Int. J. Mech. Sci. , 39 : 473 – 486 .
   Web of Science ®Google Scholar
• Oller , S. , Onate , E. , Oliver , J. and Lubliner , J. 1990 . “Finite element non linear analysis of concrete structures using a plastic damage model” . Engineering Fracture Mechanics , 35 : 219 – 231 .
   Web of Science ®Google Scholar
• Ortiz , M. 1985 . “A constitutive theory for the inelastic behavior of concrete” . Mechanics of Materials , 4 : 67 – 93 .
   Web of Science ®Google Scholar
• Paas , M. 1990 . Continuum damage mechanics with an application to fatigue, PhD thesis, Eindhoven University of Technology, The Netherlands
   Google Scholar
• Paas , M. , Schreurs , P. and Brekelmans , W. 1993 . “A continuum approach to brittle and fatigue damage: theory and numerical procedures” . Int. J. Solids Struct. , 30 : 579 – 599 .
   Web of Science ®Google Scholar
• Papa , E. and Talierco , A. 1996 . “Anisotropic damage model for the multi-axial static and fatigue behaviour of plain concrete” . Engineering Fracture Mechanics , 55 : 163 – 179 .
   Web of Science ®Google Scholar
• Paskova , T. and Meyer , C. 1997 . “Low cycle fatigue of plain and fiber-reinforced concrete” . ACI Materials Journal , 94 : 273 – 285 .
   Google Scholar
• Peerlings , R. 1997 . Continuum Damage Modelling of Fatigue Crack Initiation. Internal report MT 97.037, Technical report, Faculty of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
   Google Scholar
• Pijaudier-Cabot , G. and Bazant , Z. 1987 . “Nonlocal damage theory” . J. Engng Mech., ASCE , 113 : 1512 – 1533 .
   Web of Science ®Google Scholar
• Ragueneau , F. 2006 . “Failure mechanisms of reinforced and pre-stressed concrete structures: Modeling and computational aspects” . Revue Française de Génie Civil, this volume ,
   Google Scholar
• Ragueneau , F. , Borderie , C. L. and Mazars , J. 2000 . “Damage model for concrete-like materials coupling cracking and friction, contribution towards structural damping: first uniaxial application” . Mechanics Cohesive Frictional Materials , 5 : 607 – 625 .
   Web of Science ®Google Scholar
• Ramakrishnan , V. , Bremner , T. and Malhotra , V. 1992 . “Fatigue Strength, And Endurance Limit of Lightweight Concrete” . In Proceedings of the American Concrete Institute Symposium on “Performance of Lightweight Concrete” Edited by: Holm , Thomas A. and Vays-burd , Alexander M. 397 – 420 . Dallas, TX November 14
   Google Scholar
• Resende , L. 1987 . “A damage mechanics constitutive theory for the inelastic behaviour of concrete” . Comp. Meth. Appl. Mech. Engng , 60 : 57 – 93 .
   Google Scholar
• Salari , M. , Saeb , S. , Willam , K. , Patchet , S. and Carrasco , R. 2004 . “A coupled elastoplastic damagexs model for geomaterials” . Computer Methods in Applied Mechanics and Engineering , 193 : 2625 – 2643 .
   Web of Science ®Google Scholar
• Sermage , J. , Lemaitre , J. and Desmorat , R. 1999 . “A two scale damage concept applied to fatigue” . Int. J. Frac. , 97 : 67 – 81 .
   Google Scholar
• Sermage , J. P. , Lemaitre , J. and Desmorat , R. 2000 . “Multiaxial creep fatigue under anisothermal conditions” . Fatigue and Fracture of Engng Mater. & Struct. , 23 : 241 252
   Google Scholar
• Seyedi , M. , Desmorat , R. and Sermage , J. 2004 . “A two scale model for thermo-mechanical high cycle fatigue failure” . In European Conference on Fracture ECF 15, Advanced Fracture Mechanics for Life and Safety Stockholm Sweden, 11–13 august
   Google Scholar
• Simo , J. 1987 . “On a fully three-dimensional finite-strain visco-elastic damage model: formulation and computational aspects” . Comput. Methods Appl. Mech. Engrg. , 60 : 153 – 173 .
   Web of Science ®Google Scholar
• Tepfers , R. and Kutti , T. 1979 . “Fatigue strength of plain, ordinary and light weight concrete” . ACI Journal , 76 : 635 – 652 .
   Google Scholar
• Tvergaard , V. and Needleman , A. 1984 . “Analysis of cup-cone fracture in a round tensile bar” . Acta Metallurgica , 32 : 157 – 169 .
   Google Scholar
• Yazdani , S. and Schreyer , H. 1990 . “Combined plasticity and damage mechanics model for plain concrete” . J. Eng. Mechanics, ASCE , 16 : 1435 – 1450 .
   Google Scholar