[1] GRIFFITH A., “The phenomena of rupture and flow in solids”, Philosophical TransactionsRoyal Society of London, series A, vol. 221, 1920.
[2] WESTERGAARD H.M., “Bearing pressures and cracks”, Journal of Applied Mechanics,series A vol. 49, pp. A49-A53, June 1939.
[3] IRWIN G.R., “Analysis of stresses and strains near the end of crack traversing a plate”,Journal of Applied Mechanics, vol. 24, pp. 361-364, September 1957.
[4] BUI H.D., “Introduction à la mécanique de la rupture”, in: J. MASOUNAVE, C. BATHIAS,I. DICKSON (eds.), Rupture Contrôle Sûreté, Conseil National de Recherches Canada,Institut de Génie des Matériaux, pp. 3-5, 1980.
[6] WILLIAMS M.L., “On the stress distribution at the base of a stationary crack”, Journal ofApplied Mechanics, vol. 24, pp. 109-114, 1957.
[7] WILLIAMS M.L., “The bending stress distribution at the base of a stationary crack”,Journal of Applied Mechanics, vol. 28, pp. 78-82, 1961.
[8] MASTROJANNIS E.N., KEER L.M., MURA T., “Stress intensity factor for a plane crack undernormal pressure”, International Journal of Fracture, vol. 15, pp. 247-258, 1979.
[9] KNOTT J.F., Fundamentals of Fracture Mechanics, Butterworths, London, 1976.
[10] RICE J.R., “A path independent integral and the approximate analysis of strainconcentration by notches and cracks”, Journal of Applied Mechanics, vol. 35,pp. 379-386, 1968.
[11] BUIH.D., Mécanique de la Rupture Fragile, Masson, Paris, 1978.
[12] SIH G.C., “Strain energy factors applied to mixed mode crack problems”, InternationalJournal of Fracture, vol. 10, pp. 305, 1974.
[13] BUECKNER H.F., “The propagation of cracks and energy of elastic deformation”, Trans.ASME, vol. 80, pp. 1225-1229, 1958.
[14] IRWIN G.R., “Structural aspects of brittle fracture”, Applied Material Research, vol. 3,pp. 65-81, 1964.
[15] DUGDALE D.S., “Yielding of steel sheets containing slits”, Journal of the Mechanicsand Physics of Solids, vol. 8, pp. 100-104, 1960.
[16] BURDEKIN F.M., STONE J., “The crack opening displacement approach to fracturemechanics in yielding materials”, Strain Analysis, vol. 2, pp. 145, 1966.
[17] HUTCHINSON J.W., “Singular behaviour at the end of a tensile crack in a hardeningmaterial”, Journal of the Mechanics and Physics of Solids, vol. 14, no. 1, pp. 13-31, 1968.
[18] HUTCHINSON J.W., “Plastic stress and strain fields at a crack tip”, Journal of theMechanics and Physics of Solids, vol. 16, pp. 337-347, 1968.
[19] HUTCHINSON J.W., SHIH C.F., Plastic Analysis of Mixed Plane Stress Crack Problems,Harvard University Report DEAP S-4, Harvard University, USA, September 1973.
[20] HILTON P.D., HUTCHINSON J.W., “Plastic intensity factors for cracked plates”,Engineering Fracture Mechanics, vol. 3, pp. 435-451, 1971.
[21] RICE J.R., ROSENGREN G.F., “Plane strain deformation near a crack tip in a hardeningmaterial”, Journal of the Mechanics and Physics of Solids, vol. 16, no. 1, pp. 1-12, 1968.
[22] SIH G.C., Handbook of Stress Intensity Factors, Institute of Fracture and SolidMechanics, Lehigh University Publication, Bethlehem, PA, 1973.
[23] ROOKE D.P., CARTWRIGHT D.J., Compendium of Stress Intensity Factors, Ministry ofDefense, United Kingdom, 1974.
[24] SATOH K., TOYODA M., MINAMI F., “Influence de l’épaisseur des assemblages soudés enacier sur leur ténacité à la rupture”, Le Soudage dans le Monde, vol. 26, no. 9/10, pp. 230,1988.
[25] DUFRESNE J., LUCIA A.C., GRANDEMANGE J., PELISSIER-TANON A., Etude Probabiliste dela Rupture de Cuves de Réacteurs à eau sous Pression, report DSN no. 651, EUR no. 8682Fr., FRA no. EE/T, DC no. 0052, 1986.
[26] LABBENS R., Introduction à la Mécanique de la Rupture, Pluralis, Paris, 1980.
[27] BEGLEY J.A., LANDES J.D., “The J. integral as a failure criterion”, ASTM STP, vol. 514,pp. 1-20, 1972.
[28] SANZ G., “La rupture des aciers”, Propriétés d’Emploi des Aciers, Collection IRSID-OTUA, 1977.
[29] BATHIAS C., “Résistance à la rupture – Courbe R”, in: J. MASOUNAVE, C. BATHIAS, I.DICKSON (eds.), Rupture Contrôle Sûreté, Conseil National des Recherches Canada,Institut de Génie des Matériaux, pp. 147-173, 1980.
Bibliography 457
[30] SCHUELLER G.I., Reliability Against Fatigue Failure, University of Innsbruck, 1986.
[31] OSWALD G.F., SCHUELLER G.I., “Reliability deterioration of structures”, EngineeringFracture Mechanics, vol. 20, no. 3, pp. 479-488, 1984.
[32] FEDDERSEN C.E., “Evaluation and prediction of the residual strength of center crackedtension panels”, ASTM STP, vol. 486, pp. 50-78, 1970.
[33] BLOOM J.M., “Validation of a deformation plasticity failure assessment diagramapproach to flaw evaluation”, in C.F. SHIH, J.P. GUDDAS (eds.), Elastic-Plastic Fracture:Second Symposium, Volume II, Fracture Resistance Curves and EngineeringApplications, ASTM STP803, pp. II-206-08, 1983.
[34] SHIH C.F., KUMAR V., GERMAIN M.D., “Studies on the failure assessment diagram usingthe estimation and J-controled crack growth approach”, in: C.F. SHIH, J.P. GUDDAS (eds.),Elastic-Plastic Fracture: Second Symposium, volume II, Fracture Resistance Curves andEngineering Applications, ASTM STP803, 1983.
[35] KUMAR V., SHIH C.F., “Fully plastic crack solutions, estimation scheme, and stabilityanalysis for the compact specimen”, ASTM STP, 700, pp. 406-438,1980.
[36] KUMAR V. et al., Advances in Elastic-Plastic Fracture Analysis, Report EPRI – NP 3607,Electric Power Research Company, Palo Alto, CA, 1984.
[37] ERDOGAN F., SIH G.C., “On the crack extension in plates under plane loading andtransverse shear”, Journal of Basic Engineering, Transactions of the ASME, vol. 85,pp. 519-527, 1963.
[38] BERGEZ D., La rupture des plaques et coques fissurées, physical sciences doctoral thesis,University of Paris VI, 1974
[39] WILLIAMS J.G., EWING P.D., “Further observations on the angled crack problem”,International Journal of Fracture, vol. 10, 1974.
[40] EWING P.D., WILLIAMS J.G., “Fracture under complex stress-the angled problem”,International Journal of Fracture, vol. 8, 1972.
[41] SIH G.C., “Introductory chapter: A special theory of crack propagation”, Mechanics ofFracture-1, Noordhoff, Leyden, 1972.
[42] SIH J.C., CHEN E.P., “Cracks in composite materials”, Mechanics of Fracture, vol. 6,Martinus Nijhoff, Boston, 1981.
[43] WU C.H., “Maximum energy release rate criterion applied to a tension-compressionspecimen with crack”, Journal of Elasticity, vol. 8, no. 3, 1978.
[44] AMESTOY M., BUI H.D., DANG-VAN K., “Analytic asymptotic solution of the kinkedcrack problem”, Advances in Fracture Research, Pergamon Press, Oxford, 1980.
[45] HUSSAIN M.A., PU L.L., Underwood J.H., “Strain energy release rate for a crack undercombined mode I and mode II”, Fracture Analysis, ASTMSTP, vol. 560, 1974.
458 Fracture Mechanics and Crack Growth
[46] FINNIE I., SAITH A., “A note on the angled crack problem and the directional stability ofcracks”, International Journal of Fracture Mechanics, vol. 9, 1973.
[47] SIH G.C., A Special Theory of Crack Problem Propagation, Methods of Analysis andSolutions of Crack Problems, Noordhoff, Leyden, 1973.
[48] FROST N.E., DUGDALE D.S., “Propagation of fatigue crack in sheet specimens”, Journalof the Mechanics and Physics of Solids, vol. 6, 1958.
[49] LIU H.W., “Fatigue crack propagation and applied stress range: An energy approach”,Trans. ASME, pp. 116, 1963.
[50] FROST N.E., DIXON J.R., “A theory of fatigue crack growth”, International Journal ofFracture Mechanics, vol. 3, 1967.
[51] LARDNER R.W., “A dislocation model for fatigue crack growth in metals”, Phil. Mag.,vol. 17, 1968.
[52] PARIS P.C., GOMEZ M.P., ANDERSON W.E., A Rational Analytical Theory of Fatigue,vol. 13, no. 1, University of Washington, 1961.
[54] EUROPEAN OFFSHORE STEELS RESEARCH SELECT SEMINAR, UK Department of Energy,Commission of the European Communities, Welding Institute, 1978.
[55] AUSTEN I.M., British Steel Corporation Research PT/6795/8/77/A, British Steel, 1977.
[56] LIEURADE H.P., RABBE P., ”Etude à l’aide de la mécanique de la rupture de la vitesse defissuration en fatigue d’une gamme étendue d’aciers”,Mémoires Scientifiques de la Revuede Métallurgie, vol. 69, no. 9, 1972.
[57] ELBER W., “The significance of fatigue crack closure”, ASTM STP, vol. 486, 1971.
[58] BROEK D., Elementary Engineering Fracture Mechanics, 4th edition, Martinus Nijhoff,Boston, 1986.
[59] SIH G.C., “An introduction to fracture mechanics”, in: B. BARTHÉLÉMY (ed.), NotionsPratiques de Mécanique de la Rupture, Eyrolles, Paris, 1980.
[60] MASOUNAVE J., BAILON J.P., DICKSON J.L., “Les lois de fissuration par fatigue“, in:BATHIAS C., BAILON J.P. (eds.), La Fatigue des Matériaux et Structures, EditionsMaloine, Paris, 1980.
[61] LIEURADE H.P. et al., “Commission fatigue des métaux de la SFM”, in: La Pratique desEssais de Fatigue, PYC, Paris, 1982.
[62] WÖHLER A., “Versuche zur Ermittlung der auf die Eisenbahnwagen Achsen EinwirdendenKräfte und der widerstandsfähigkeit der Achsen”, Zeitschrift für Bauwesen, 1860.
[63] SIH G.C., Handbook of Stress Intensity Factors for Researchers and Engineers,Noordhoff, Leyden, 1973.
Bibliography 459
[64] TADA H., PARIS P.C., IRWIN J.R., The Stress Analysis of Cracks Handbook, Del ResearchCorporation, Hellertown, PA, 1973.
[65] FISHER J.W., YUCEOGLU Y.Z., A Survey of Localized Cracking in Steel Bridges, InterimReport, Dot-FH -111-9506, Federal Highway Administration, December1981.
[66] MADDOX S.J., “Assessing the significance of flaws in welds subject to fatigue”, WeldingJournal, vol. 53, 1974.
[67] ALBRECHT P., YAMADA K., “Rapid calculation of stress intensity factors”, JournalStructural Division, ASCE, vol. 103, 1977.
[68] IRWIN G.R., “Crack extension force for a part through crack in a plate”, Trans. ASME,vol. E-29, December 1962.
[70] LEMAITRE J., CHABOCHE J.L., “Rupture par endommagement”, Journal de MécaniqueAppliquée, vol. 2, no. 3, 1978.
[71] MINER M.A., “Cumulation damage in fatigue”, Trans. ASME, Journal of AppliedMechanics, vol. 12, 1945.
[72] RECHO N., BROZZETTI J., “Endommagement par fatigue”, Construction Métallique,CTICM, no. 3, 1984.
[73] SCHUTZ W., “Procedures for the prediction of fatigue life of tubular joints”, InternationalConference Steel in Marine Structures, Paris, October 5-8, 1981.
[74] STRATING J., Fatigue and stochastic loads, thesis, University of Delft, September 1973.
[75] BROZZETTI J., “Evaluation de la durée de vie en fatigue pour les sollicitations aléatoires”,Séminaire “Mécanique de la Rupture”, Collège International des Sciences de laConstruction, ITBTP, Saint-Rémy-lès-Chevreuse, June 1982.
[77] ARULIAH P., “Fatigue durability under wave action”, Proceedings Institution of CivilEngineers, part. 1, pp. 149-152, February 1976.
[78] WIRSCHING P.H., “Fatigue reliability in welded joints of offshore structures”,International Journal of Fracture, 1980.
[79] MADDOX S.J., “A fracture mechanics approach to service load fatigue in weldedstructures”, The Welding Institute, E/45/71, 1971.
[80] ZIENKIEWICZ O.C., La Méthode des Éléments Finis Appliqués à l’Art de l’Ingénieur,Ediscience, Paris, 1973.
[81] GIFFORD L.N., HILTON P.D., “Stress intensity factor by enriched finite elements”,Engineering Fracture Mechanics, vol. 10, pp. 485-496, 1978.
460 Fracture Mechanics and Crack Growth
[82] SIH G.C., LIEBOWITZ H., “Mathematical theories of brittle fracture”, in: LIEBOWITZ H.(ed.), Fracture, vol. 2, pp. 67-190, 1968.
[83] HEAD J.L., Some methods for the evaluation of K from finite element data, MechanicsEngineering Department, Imperial College, London, WI/IC Post Experience Course:Computational Methods in Fracture Mechanics, June 28 to July 2, 1976.
[84] WILLIAMS M.L., “Stress singularities resulting from various boundary conditions inangular corners of plates in extension”, Journal of Applied Mechanics, vol. 19,pp. 526-528, 1952.
[85] RECHO N., ANDREAU C., Calcul d’une Structure Simulant un Nœud de PlateformeOffshore au Moyen de Divers Codes de Calculs Éléments Finis, ARSEM report, BureauVeritas/CTICM, January 1984.
[86] RECHO N., Formulation des Éléments Finis Plaque et Coque et les Problèmes Relatifs àleur Utilisation, PACEM/CTICM report, no. 10-002-15, August 1984.
[87] ENGESVIK K.M., MOAN T., “Probabilistic analysis of the uncertainty in the fatiguecapacity of welded joints”, Engineering Fracture Mechanics, vol. 18, no. 4, pp. 743-762,1983
[88] BIGNONNET A., LIEURADE H.P., PICOUET L., Fatigue des Assemblages Soudés en AcierHLE dans les Structures Offshores, Recherche CECA, no. 7210.KG/301(F 7.3/81),Période du 1/7/1981 au 30/6/1984, final report IRSID, IRSID, March 1985.
[89] PAPADOPOULOS Y., Contraintes Locales au Pied du Cordon Tenant Compte de laGéométrie réelle des Assemblages en T, technical report no. 26, ARSEM/LMS, October1985.
[90] GURNEY T.R., “A revised analysis of the influence of toe effects on the fatigue strengthof transverse non load-carrying fillet welds”, Welding Research Institute, vol. 9, no. 3,pp. 43-80, 1979.
[91] BERGE S., Effect of Plate Thickness in Fatigue of Cruciform Welded Joints, DocumentIIS/IIW-XIII-1116-83, Institut International de la Soudure, 1983.
[92] PETERSON R.E., Stress Concentration Factors, Wiley and Sons, New York, 1953.
[93] NEUBER H., Theory of Notch Stresses, J.W. Edwards Co, Ann Arbor, 1946.
[94] HARRIS W.J., “Metallic fatigue”, International Series of Monographs in Aeronautics andAstronautics, Pergamon Press, 1961.
[95] TRUCHON M., L’Amorçage des Fissures de Fatigue à Partir d’Entailles – Application auxJoints Soudés, Bulletin Technique du Bureau Veritas, May 1985.
[96] MATTOS J.R., Estimation of the fatigue crack initiation life in welds using low cyclefatigue concepts, PhD Thesis, University of Illinois, Urbana-Champaign, 1976.
Bibliography 461
[97] TOPPER T.H., MORROW J.D., DEAN J., Simulation of the Fatigue Behaviour at the NotchRoot in Spectrum Loaded Notched Members, (UITAM) Report no. 333, Department ofTheoretical and Applied Mechanics, University of Illinois, Urbana-Champaign, January1970.
[98] NEUBER H., “Theory of stress concentration for shear strained prismatical bodies witharbitrary non linear stress-strain law”, Journal of Applied Mechanics, pp. 544, December1961.
[99] MANSON S.S., Behaviour of Materials under Conditions of Thermal Stress, N.A.C.A.,Technical note 2933, NACA, 1954.
[100] COFFIN L.F., “A study of the effects of cyclic thermal stresses in a ductile metal”,Trans. ASME, vol. 76, pp. 931, 1954.
[101] MOLSKI K., GLINKA G., “A method of elastic-plastic stress and strain calculation at anotch root”, Materials Science and Engineering, vol. 50, pp. 93-100, 1981.
[102] SINES G., “Fatigue criteria under combined stresses or strains”, Transactions of theASME, Journal of Engineering Materials Technology, vol. 13, pp. 82-90, 1981.
[103] CROSSLAND B., “Effect of large hydrostatic pressures on thetorsional fatigue strength ofan alloy steel”, I.C.F.M., IME/ASME, pp. 138-149, 1956.
[104] DANGVAN K., “Sur la résistance à la fatigue des métaux”, Sciences et Techniques del’Armement, vol. 47, pp. 641-722, 1973.
[105] JACQUELIN B., HOURLIER F., PINEAU A., “Amorçage des fissures en fatigue oligocycliquemultiaxiale”, Journées Internationales de Printemps “Amorçage des Fissures sousSollicitations Complexes”, Société Française de Sidérurgie, Paris, May 22-23,1984.
[106] BENALLAL A., BILLARDON R., MARQUIS D., “Prévision de l’amorçage et de la propagationdes fissures par la mécanique de l’endommagement”, Journées Internationales dePrintemps “Amorçage des Fissures sous Sollicitations Complexes”, Société Française deSidérurgie, Paris, May 22-23,1984.
[107] RECHO N., ”Distribution de la taille du défaut initial dans les soudures d’angles,Assemblages en croix et assemblages de tubes”, Construction Métallique, CTICM, vol. 3,1983.
[108] BIGNONNET A., Propagation des Fissures de Fatigue, cas des Aciers de ConstructionUtilisés pour les Structures Soudées Marines, IRSID report, no. 3139 AB, IRSID, January1981.
[109] HAYES D.J., “A practical application of Buekner’s formulation for the determination ofstress intensity factors”, International Journal of Fracture Mechanics, vol. 8, no. 2, 1972.
[110] OLIVIER R., RITTER W., “Catalogue of S-N curves of welded joints in structural steels”,Part 2: Transverse Stiffener, Deutscher Verband für Schweibtechnike V., 1980.
[111] SIGNES E.G. et al., “Factors affecting the fatigue strength of welded high strengthsteels”, British Welding Journal, pp. 108-116, 1967.
462 Fracture Mechanics and Crack Growth
[112] WATKINSON F. et al., “The fatigue strength of welded joints in high strength steels andmethods for its Improvement”, Proceedings of the Conference on “Fatigue of WeldedStructures”, Paper 7, pp. 97-113, Brighton, UK, 1970.
[113] RÉGLEMENTD.N.V.(Det norske Veritas), Fatigue Analyses (section C7).
[114] PALANISWAMY K., KNAUSS W.G., “On the problem of crack extension in brittle solidsunder general loading”,Mechanics of Today, vol. 4, Pergamon Press, 1978.
[115] ERDOGAN F., SIH G.C., “On the crack extension in plates under plane loading andtransverse shear”, Journal of Basic Engineering, Trans. ASME, vol. 85, pp. 519-527,1963.
[116] RECHO N., “Calcul des structures fissurées par éléments finis”, Manuel d’Utilisation duProgramme APES Bidimensionnel Élastique, APES, 1981.
[117] OUCHIDA H., NISHIOKA A., “A study of fatigue strength of fillet welded joints”, HitachiReview, April1964.
[118] BOOTH G.S., Constant Amplitude Fatigue Tests on Welded Steel Joints Performed inAir, Interim Technical Report UKOSRP 3/05,The Welding Institute Cambridge, July1978.
[119] IIDA K., Effects of Fillet Shape Parameters on Bending Fatigue Strength of TransverseFillet Welded joints, IIW-DOC/XIII-1057-82, Institut International de la Soudure, 1982.
[120] RECHO N., “Localisation des points d’amorçage de fissuration dans l’assemblage encroix soudé”, Construction Métallique, CTICM, no. 1, 1983.
[121] RECHO N., BROZZETTI J., “Prévision par un modèle simplifié de la durée de vie d’unassemblage en croix soudé”, Construction Métallique, CTICM, vol. 3, 1981
[122] RECHO N., BROZZETTI J., “Design fatigue life of welded cruciform joints”, IABSEColloquium “Fatigue of Steel and Concrete Structures”, Lausanne, Switzerland, 1982.
[123] MÉMOIRES DE FIN D’ÉTUDES À L’ENSAM (Ecole nationale supérieure des arts etmétiers), Projets Fatigue, 1980, 1981, 1982.
[124] LIEURADE H.P., HAIBACH E., “Etude en fatigue oligocyclique de la tenue d’assemblagessoudés en croix en aciers à haute limite d’élasticité”, Revue de Métallurgie, March 1978.
[125] RECHO N., BROZZETTI J., “Crack criteria under fatigue loading”, Third InternationalConference on Numerical Methods in Fracture, Mechanics, Swansea, United Kingdom,March 26-30, 1984.
[126] ZHANG X.B., RECHO N., “Modélisation numérique de la bifurcation et propagation defissure en fatigue”, 12e Congrès Français de Mécanique, Strasbourg, France, September4-8,1995.
[127] RECHO N., Comportement à la fatigue de l’assemblage en croix soudé à l’aide de lamécanique de la rupture, engineering doctoral thesis, University of Paris VI, 1980.
Bibliography 463
[128] GURNEY T.R., MADDOX S.J., Proposed Fatigue Design Stresses for Weld Metal, ReportR/RB/E56/73, Welding Insitute, September 1973.
[129] YAMADA K., ALBRECHT P., “Practical aspects of fatigue analysis of a weldment”,Fracture, vol. 2, Waterloo, Canada, June 19-24, 1977.
[130] BERGE S., EIDE O.I., MOE E.T., “Fatigue Crack Initiation in Weldments of a C-MnSteel”, Conference European Offshore Steels Research, Cambridge, UK,November 27-29, 1978.
[131] EIDE O.I., BERGE S., “Fatigue crack growth in welded girders”, 6th EuropeanConference on Fracture, Amsterdam, Netherlands, June 15-20,1986.
[132] B.S.I. (BRITISH STANDARD INSTITUTION), Guidance on Some Methods for the Derivationof Acceptance, Level for Defects in Fusion Welded Joints, PD 6493, British StandardInstitution 1980.
[133] HIRT M.A., “Anwendung der Bruchmechanik für die Ermittlung des Ermüdungs-verhaltens geschweisster Konstrucktionen”, Bauingenieur, vol. 3, 1982.
[134] PETERSHAGEN H.L., Survey of Literature on the Fatigue Behaviour of Cruciform Joints,IIW DOC. XIII/750/74, International Institute of Welding, May 1974.
[135] RECHO N., Durée de vie de l’Assemblage en Croix Soudé – Comparaison de DeuxApproches, IIW DOC. XIII/1080/83, Institut International de la Soudure, 1983.
[136] LASSEN T., “The effect of the welding process on the fatigue crack growth in weldedjoints”, Welding Journal, vol. 96, no. 2, pp. 75s-85s, 1996.
[137] GURNEY T.R., “Finite element analysis of some joints with the welds transverse to thedirection of stress”, Welding Research International, vol. 6, no. 4, pp. 40-72, 1976.
[138] GROUS O., RECHO N., LASSEN T., LIEURADE H.P., “Caractéristiques mécaniques defissuration et défaut initial dans les soudures d’angles en fonction du procédé desoudage”, Revue Mécanique industrielle et Matériaux, vol. 51, no. 1, 1998.
[139] GROUS O., Etude probabiliste du comportement à la rupture des assemblages soudés,engineering doctoral thesis, University of Haute Alsace, March 1994.
[140] GURNEY T.R., Fatigue of Welded Structures, 2nd edition, Cambridge University Press,Cambridge, 1978.
[141] RECHO N., “Eléments de mécanique de la rupture à l’usage du dimensionnement à lafatigue des structures métalliques soudées”, Séminaire Fatigue des Structuresindustrielles I.I.T.T., Paris, March 1989.
[142] FOGLI M., LEMAIRE M., SAINT-ANDRÉ M., “L’approche de Monte-Carlo dans lesproblèmes de sécurité”, Annales de l’ITBTP, March/April 1982.
[143] EZIO L., The Assessment of Structural Safety, RSP Research Studies Press, ForestGrove, 1977.
[145] ARSEM (ASSOCIATION DE RECHERCHE POUR LES STRUCTURES EN MER), AssemblagesTubulaires Soudés – Guides Pratiques sur les Ouvrages en Mer, Editions Technip,Association de Recherche pour les Structures en Mer, Paris, November 1985.
[146] GROUS O., RECHO N., LASSEN T., “Reliability and life time of cruciform singularstructure welded by four process”, Third International Conference on Localized Damage,Udine, Italy, June 21-23,1994.
[147] RECHO N., “Linear and nonlinear fatigue damage and cumulation”, 6th EuropeanConference on Fracture, Amsterdam, Netherlands, June 15-20,1986.
[148] MÉMOIRES DE FIN D’ÉTUDES À L’ENSAM (Ecole nationale supérieure des arts etmétiers), Projets Fatigue, 1983, 1984, 1985.
[149] RADENKOVIC D., “Analyse des contraintes dans les joints tubulaires”, Session Plénière I,Conférence Internationale “L’acier dans les structures marines”, Paris, October 1981.
[150] GALLAGHER R.H., Introduction aux Éléments Finis, Pluralis, Paris, 1976.
[151] RECHO N., BROZZETTI J., “Stress concentration at tubular V-joints”, Welding of tubularStructures, Pergamon Press, Boston, 1984.
[152] RECHO N., RYAN I., Etablissement des courbes S-N de référence pour les jointstubulaires, report no. 10.002.7, CTICM, October 1982.
* Article also published with the collaboration of L. REGNIER, H.P. LIEURADE,“Fatiguelife of welded circular tubular joints in offshore structures”, Welding of TubularStructures, Pergamon Press, Boston, 1984.
[153] RECHO N., “Simplified crack propagation in T-welded tubular joints submitted tofatigue”, 9th Offshore Mechanics and Artic Engineering (OMAE) Conference, Houston,USA, February 1990.
[154] PUTOT C., RADENKOVIC D., Un Modèle de Propagation de Fissures dans un NœudTubulaire Soudé, Laboratoire de Mécanique des Solides, technical report, no. 18,November 1980.
[155] GERALD J., Interprétation des Essais sur les Nœuds IRSID, Laboratoire de Mécaniquedes Solides ANMT, technical report, no. 15, 1981.
[156] DEPARTMENT OF ENERGY, UK, Offshore Installation – Guidance on Design andConstruction Proposed New Fatigue Design Rules for Steel Welded Joints in OffshoreStructures, Department of Energy, June 1981.
[157] RECHO N., AUCLAIR M.T., Stress Concentration and Fatigue Analysis – Frigg Flare,report, no. 10.002-9, CTICM, September 1982.
[158] DET NORSKE VERITAS, DnV, Rules for the Design Construction and Inspection ofOffshore Structures Appendix C, Steel Structures, 1977.
Bibliography 465
[159] RECHO N., AUCLAIR M.T., Fracture Mechanics Approach to Fatigue Analysis-FriggFlare, report, no. 10.002-10, CTICM, October 1982.
[160] RECHO N., Analyse Numérique d’une Technique de Réparation de RISERDimensionnement et Optimisation à la Rupture Fragile, report, no. 10.002-19, CTICM,August 1985.
[161] AOYAMA S., FUJIMOTO M.J., “Fatigue strength of spot-welded joints of cold rolled steelsheets”, Proceedings of the 21th Japan Congress on Materials Research, pp. 48-52, 1977.
[162] BRAGARD M., Soudage par Points des Aciers de Résistance pour Emboutissage etPropriétés des ponts Soudés, Centre de Recherche Métallurgique, Liège, October 1979.
[163] IWASAKI T., TAKANA T., KABASAWA M., NAGAE M., Fatigue Strength of Base Metaland Spot Welded Joints in HSLA for Automative Applications, Nippon Koban TechnicalReport-Overseas, no. 34, 1982.
[164] DOUCET J.P., GUYOMARD J.Y., SOCQUET J., DAUPHIN M., BARTHELEMY M.M., PONZONIA., ANDRZEJEWSKI A., LEDUFF J.A., BARTHELEMY J.Y., PEREK J.C., Evaluation de laRésistance d’Assemblages Soudés par Points en vue de l’Établissement de Règles deCalcul de ces Assemblages, Rapports Semestriels, n° 4, 5, 6, 7, Recherche CECA,n° 7210, KA 307, A. Andrzejewski : id. project final report, 1983.
[165] RECHO N., BRAMAT M., “Etude de la résistance à la fatigue d’assemblages soudés parpoints”, Journées de Printemps “Fatigue des assemblages soudés”, Société Française deMétallurgie (SFM), Paris, June 4-5, 1985.
[166] RECHO N., Analyse du Comportement à la Fatigue des Soudures par Points, report,no. 10.002-13, CTICM, March 1984.
[167] RICE J., SIH G.C., “Plane problems of cracks in dissimilar media”, ASME Journal ofApplied Mechanics, vol. 32, pp. 418-423, 1965.
[168] ENGLAND A.H., “A crack between dissimilar media”, ASME Journal of AppliedMechanics, vol. 32, pp. 400-402, 1965.
[169] COMNINOU M., “The interface crack”, ASME Journal of Applied Mechanics, vol. 44,pp. 631-636, 1977.
[170] ATKINSON C., “The interface crack with a contact zone (analytical treatement)”,International Journal of Fracture, vol. 18, pp. 161-177, 1982.
[171] ERDOGAN F., KAYA A.C., JOSEPH P.F., “The mode II crack problem in boned materialwith a non homogeneous interfacial zone”, ASME Journal of Applied Mechanics, vol. 58,pp. 418-423, 1991.
[172] FENNER D.N., “Stress singularities in composite materials with an arbitrarily orientationcrack meet in an interface”, International Journal of Fracture, vol. 12, no. 5, pp. 161-177,1976.
466 Fracture Mechanics and Crack Growth
[173] LI J., ZHANG X.B., RECHO N., “Investigation of an arbitrarily oriented crack meeting aninterface between two Elastic materials”, European Journal of Mechanics, A/Solidsvol.16, no. 5, pp. 795-821, 1997.
[174] BUI H.D., Introduction aux Problèmes Inverses en Mécanique des Matériaux, Eyrolles,Paris, 1993.
[176] LI J., RECHO N., Méthodes Asymptotiques en Mécanique de la Rupture, HermèsScience, Paris, 2002.
[175] ZHONG W.X., A New Systematical Methodology in Elasticity Theory, Dalian Science &Technology University Press, Cambridge, 1995.
[177] LI J., Modélisation et critères de rupture dans les milieux multimatériaux, anisotropes etplastiques, Mémoire HDR, Blaise Pascal University Clermont II, 2002.
[178] NIU Z.R., CHENG C.,YE J.,RECHO N., “A new boundary element approach of modelingsingular stress fields of plane V-notch problems”, International Journal of Solids andStructures, vol. 46, no.16, pp. 2999-3008, 2009.
[179] GLADWELL I., “A survey of subroutine for solving BVPs in ODEs”, Proceedings onComputational Techniques for ODEs, pp. 273-303, 1980.
[180] YOSIBASH Z., SZABÓ B.A., A note on numerically computed eigenfunctions andgeneralized stress intensity factors associated with singular points”, Engineering FractureMechanics, vol. 54, pp. 593-5, 1996.
[181] SEWERYN A., KRZYSZTOF M., “Elastic stress singularities and correspondinggeneralized stress intensity factors for angular corner under various boundary conditions”,Engineering Fracture Mechanics, vol. 55, no. 4, pp. 529-556, 1996.
[182] NIU Z.R., GE D., CHENG C.Z., YE J., RECHO N., “Evaluation of the stress singularitydegrees of plane V-notches in bonded dissimilar materials”, Journal of AppliedMathematical Modelling, vol. 33, no. 3, pp. 1776-1792, 2009.
[183] BOGY D.B., “Two edge-bonded elastic wedges of different materials and angles undersurface traction”, Journal of Applied Mechanics, vol. 38, no. 2, pp. 377-386, 1971.
[184] JIAN Z., HUANG S.H., HU L.M., “Computation of stress factors for biomaterial V-notchand heel of concrete dam on rock foundation”, Chinese Journal of HydraulicEngineering, pp. 677-81 1998.
[185] LI J., ZHANG X.B., RECHO N., “Stress singularities near the tip of a two-dimensionalnotch forded from several anisotropic materials”, International Journal of Fracture, vol.107, 379-395, 2001.
[187] BUI H.D., “A path-independent integral for mixed modes of fracture in linearthermoelasticity IUTAM”, Symposium on Fundamentals of Deformation and Fracture,Sheffield, UK, April 1984.
[188] BUI H.D., PROIX J.M., “Mécanique des solides – loi de conservation en thermo-élasticité linéaire”, Comptes-rendus Acad. Sci. Paris, A. vol. 298, Series II, no. 8,pp. 325-327, 1984.
[189] BUI H.D., PROIX J.M., “Découplage des modes mixtes de rupture en thermo-élasticitépar des intégrales indépendantes du contour”, Actes du Troisième Colloque “TendancesActuelles en Calcul de Structure”, pp. 631-643, Bastia, France, November 6-8,1985.
[190] ZHANG X.B., Etude numérique de la propagation de fissures par la mécanique derupture, thesis no. DU 447 soutenue, June 15, 1992.
[191] OHTSUKA K., “Generalized J-integral and three dimensional fracture mechanics”,International Hiroshima Mechanics Journal, vol. 11, pp. 21-52, 1981.
[192] DESTUYNDER P., DJAOUA M., “Sur une interprétation mathématique de l’intégrale deRice en théorie de la rupture fragile”, Mechanics in Applied Science, vol. 3, pp. 70-87,1981.
[193] DESTUYNDER P. et al., “Quelques remarques sur la mécanique de la rupture élastique”,Journal de Mécanique Théorique et Appliquée, vol. 2, no. 1, pp. 113-135, 1983.
[194] RICE J.R., ROSENBERG G.F., Journal of the Mechanics and Physics of Solids, vol. 16,pp. 1-12, 1968.
[195] MCMEEKING R.M., “Finite deformation analysis of crack tip opening in elastic-plasticmaterials and implication for Fracture”, Journal of the Mechanics and Physics of Solids,vol. 25, pp. 357, 1977.
[196] BARSOUM R.S., “On the use of isoparametric finite elements in linear fracturemechanics”, International Journal for Numerical Methods in Engineering, vol. 10, 1976.
[197] PU S.L., HUSSAIN M.A., “The collapsed cubic isoparametric element as a singularelement for crack problems”, International Journal for Numerical Methods inEngineering, vol. 12, 1978.
[198] SENZLEY S.E., “Representation of singularities with isoparametric finite elements”,International Journal for Numerical Methods in Engineering, vol. 8, 1974.
[199] BOUCHARD P.O., BAY F., CHASTEL Y., “Numerical modelling of crack propagation:automatic remeshing and comparison of different criteria”, Computation Methods inApplied Sciences and Engineering, vol. 192, pp. 3887-3908, 2003.
468 Fracture Mechanics and Crack Growth
[200] TIMBRELL C., CHANDWANI R., COOK G., “State of the art in crack propagation”,Journée Scientifique 2004: Les méthodes de Dimensionnement en Fatigue, Centre deCompétences Matériaux & Conception (CCM&C), Fribourg, Switzerland, October 27,2004.
[201] BURGARDT B., COSME N., FRECHINET S., “Calculs de fissuration 3D pour application àdes composants de turbomachine aéronautique”, Forum IPSI, Journée Phi2AS Fatigue,Endurance et Mécanique de la Rupture, vol. 28, no. 3, Paris, 2004.
[202] GIVOLI D., ZUSMAN R., “An adaptative finite element method framework for fatiguecrack propagation”, International Journal Numerical Methods Engineering, vol. 54,pp. 111-135, 2002.
[203] MURTHY K.S.R.K., MUKHOPADHYAY M., “Adaptative finite element analysis of mixed-mode crack problems with automatic mesh generator”, International Journal NumericalMethods Engineering, vol. 49, pp. 1087-1100, 2000.
[204] SCHÖLLMANN M., FULLAND M., RICHARD H.A., “Development of a new software foradaptative crack growth simulations in 3D structures”, Engineering Fracture Mechanics,vol. 70, pp. 249-268, 2003.
[205] MOËS N., “Modélisation de discontinuités arbitraires avec X-FEM”, Journée d’ÉtudeIPSI “Quoi de Neuf à Propos des Maillages”, Paris, March 23, 2004.
[206] MOËS N., DOLBOW J., BELYTSCHKO T., “A finite element method for crack growthwithout remeshing”, International Journal Numerical Methods Engineering, vol. 46,pp. 131-150, 1999.
[207] DOLBOW J., MOËS N., BELYTSCHKO T., “Discontinuous enrichment in finite elementswith a partition of unity method”, Finite Elements and Design, vol. 36, pp. 235-260, 2000.
[208] LEBAILLIF D., RECHO N., “Brittle and ductile crack propagation using automatic crackbox technique”, Engineering Fracture Mechanics, vol. 74, no.11, pp. 1810-1824, 2007.
[209] NAG, The Numerical Algorithms Group Ltd, Oxford UK, 2001, www.nag.co.uk
[210] ABAQUS Software Version 6.4.1, available at: www.hks.com, 2010.
[211] BONNET M., XIAO H., “Computation of energy release rate using materialdifferentiation of elastic BIE for 3-D elastic fracture”, Engineering Analysis BoundaryElements, vol. 15, pp. 137-149, 1995.
[212] LEGUILLON D., “Strength or toughness? A criterion for crack onset at a notch”,European Journal of Mechanics A/Solids, vol. 21, pp. 61-72, 2002.
[213] LEGUILLON D., MURER S., RECHO N., LI J., “Crack initiation at a v-notch undercomplex loadings – Statistical scattering”, 12th International Conference on Fracture,Ottawa, Canada, July 12-17,2009.
[214] GOMEZ F.J., ELICES M., “Fracture of components with V-shaped notches”, EngineeringFracture Mechanics, vol. 70, pp. 1913-1927, 2003.
Bibliography 469
[215] SHIH C.F., GERMAN M.D., “Requirement for a one parameter characterization of cracktip field by the HRR singularity”, International Journal of Fracture, vol. 17, pp. 27-43,1981.
[216] RITCHIE R.O, KNOTT J.F., RICE J.R., Journal of Mechanics and Physics of Solids, vol.21, pp. 395, 1973.
[217] SUTTON M.C., ZHAO W., BONNE M.L. et al., “Prediction of crack growth for mode I/IIloading using small-scale yielding and void initiation/growth concepts”, InternationalJournal of Fracture, vol. 83, pp. 275-290, 1997.
[218] MA F., DENG X., SUTTON M.C., NEWMAN J.C., “A CTOD based mixed mode fracturecriterion. Mixed mode crack behaviour”, ASTM, STP, pp. 86-110, 1999.
[219] SUTTON M.A., “A combined modelling – experimental study of the crack openingdisplacement fracture criterion for characterization of stable crack growth under mixedmode I/II loading in thin sheet materials”, Engineering Fracture Mechanics, vol. 66,pp. 171-185, 2000.
[220] TOHGO K., ISHII H., “Elastic-plastic fracture toughness test under mixed mode I-IIloading”, Engineering Fracture Mechanics, vol. 41, no.4, pp. 529-540, 1992.
[221] AMSTUTZ B.E., SUTTON M.A., DAWICKE D.S., NEWMAN J.C., An experimental study ofCTOD for mode I/II stable crack growth in thin aluminium specimens”, FracturesMechanics ASTM STP, vol. 26, no. 1256, pp. 256-271, 1995.
[222] MACCAGNO T.M., KNOTT J.F., “The mixed mode I-II fracture behavior of lightlytempered HY 130 steel at room temperature”, Engineering Fracture Mechanics, vol. 41,pp. 805-820, 1992.
[223] DALLE DONNE D., PIRONDI A., “Relation between the crack tip displacement vector andthe J-integral in mixed-mode ductile fracture”, 12th European Conference on FractureFrom Defects, Sheffield, United Kingdom, September 14-18,1998.
[224] DAWICKE D.S., SUTTON M.A., “CTOA and crack-tunnelling measurements in thin2024-T3 aluminium alloy”, Experimental Mechanics, vol. 34, pp. 357-368, 1994.
[225] MA S., Propagation de fissure en mode mixte dans un milieu élastoplastique avecprise en compte des contraintes résiduelles, doctoral thesis, Blaise Pascal UniversityClermont-Ferrand II, January 13, 2005.
[226] LI J., “Estimation of the mixity parameter of a plane strain elastic-plastic crack by usingthe associated J-integral”, Engineering Fracture Mechanics, vol. 61, pp. 355-368, 1998.
[227] ZHANG X.B., LI J., RECHO N., “Numerical method for determination of the mixed modecrack behaviour in elastic-plastic materials”, 12th European Conference on Fracture,vol. II, pp. 951-956, Sheffield, UK, September 1998.
[228] ISHIKAWA H., KITAKAWA H., OKAMURA H., “J-integral of a mixed mode crack and itsapplications”, 3rd International Conference on Materials, vol. 3, pp. 447, Cambridge, UK,1978.
470 Fracture Mechanics and Crack Growth
[229] BUI H.D., “Associated path independent J-integral for separating mixed modes”,Journal of Mechanics and Physics of Solids, vol. 31, pp. 439-448, 1983.
[230] ZHANG X.B., Critères de Rupture en Présence de Singularité sous Chargement Statiqueet Cyclique en Mode Mixte, HDR, Blaise Pascal University Clermont-Ferrand II,December 11, 2006.
[231] LEBAILLIF D., Fissuration en fatigue des structures mécano-soudées soumises à unenvironnement mécanique complexe, doctoral thesis, Blaise Pascal University Clermont-Ferrand II, September 13, 2006.
[232] LEGUILLON D., YOSIBASH Z. “Crack onset at a v-notch. Influence of the notch tipradius”, International Journal of Fracture, vol. 122, no. 1-2, pp. 1-21, 2003.
[233] RECHO N., LEGUILLON D., Propagation of Short Cracks near a V-Notch Tip in BrittleMaterial under Mixed-Mode Loading, Nantes, France, June 2007.
[234] CHENG C.Z., RECHO N., NIU Z.R., HUANLIN Z., “Effect of the non-singular stress field onthe crack extension and Fatigue life”, Engineering Fracture Mechanics, 2011.
[235] TANAKA K., “Fatigue crack propagation from a crack inclined to the cyclic tensile axis”,Engineering Fracture Mechanics, vol. 6, pp. 493-507, 1974.
[236] CORTEN H.T., DOLAN T.J., “Proceding international conference on fatigue of metals”,Institute of Mechanical Engineering, ASME, pp. 235-246, 1956.
[237] SCHIJVE J., “Fatigue crack propagation in light alloy sheet material and structure”,Advances in Aeronautical Sciences, pp. 387-408, Pergamon Press, Oxford, 1962.
[238] DARCIS P., Analyse fiabiliste de la fatigue des joints soudés soumis à l’effet desurcharge, mechanics thesis, Blaise Pascal University Clermont II, 2002.
[239] ASTM, E647-00, Standard Test Method for Measurement of Fatigue Crack GrowthRates, West Conshohocken, Philadelphia, 2001.
[240] AFNOR, Norme A 03-404, Pratique des Essais de Vitesse de Propagation de Fissure enFatigue, AFNOR, Paris, 1991.
[241] BIGNONNET A., DIAS A., LIEURADE H.P., “Influence of crack closure on fatigue crackpropagation”, Proceedings of the 6thInternational Conference on Fracture (IFC6), NewDelhi, India, pp. 1861-1868, Pergamon Press, Oxford, 1985.
[242] WHEELER O.E., “Spectrum loading and crack growth”, Journal of Basic Engineering,vol. 94, pp. 181-186, 1972.
[243] SHEU B.C., SONG P.S., HWANG S., “Shaping exponent in Wheeler model under a singleoverload”, Engineering Fracture Mechanics,vol. 51, pp. 135-143, 1995.
[244] LANG M., MARCI G., “The influence of single and multiple overloads on fatigue crackpropagation”, Fatigue and Fracture of Engineering Materials and Structures, vol. 22,pp. 257-271, 1999.
Bibliography 471
[245] DECOOPMAN X., Influence des conditions de chargement sur le retard à la propagationd’une fissure de fatigue après l’application d’une surcharge, mechanics thesis, LilleUniversity of Science and Technology, 1999.
[246] POMMIER S., “Plane strain crack closure and cyclic hardening”, Engineering FractureMechanics,vol. 69, pp. 25-44, 2002.
[247] SCHNEIDER M., ROBIN C., TRUCHON M., CHEHIMI C., LIEURADE H.P., PLUVINAGE G.,Effet des surcharges multiples sur la Fissuration par Fatigue de Deux Aciers deConstruction Métallique, Rapport de l’Institut de Recherches de la Sidérurgie Française(IRSID), R.E. 1091, IRSID, 1984.
[248] LASSEN T., RECHO N., “Stochastic analysis”, FLAWS – Fatigue Life Analyses of WeldedStructures, ISTE, London, 2006.
[249] MANSOUR A.E., WIRSCHING P.H., WHITE G., AYYUB B.M., Probability-Based ShipDesign: Implementation of Design Guidelines, Report SSC 392, Ship Structure Committee,U.S. Coast Guard, Washington D.C., 1995.
[250] MAHERAULT S., Calibration d’un code semi-probabiliste destiné au dimensionnementdes navires à la fatigue, mechanics thesis, Clermont-Ferrand II, 1999.
[251] MORROW J.D., “Cyclic plastic strain energy and fatigue of metals”, ASTM STP, vol.378, pp. 45-87, 1965.
[252] DANG-VAN K., CAILLETAUD G., FLAVENOT J.F., DOUARON L., LIEURADE H.P., “Criterionfor high-cycle fatigue failure under multiaxial loading”, in: M. BROWN, K. MILLER (eds.),Biaxial and Multiaxial Fatigue, pp. 459-478, Sheffield, 1989.
[253] PALIN-LUC T., Fatigue multiaxiale d’une fonte GS sous sollicitations combinéesd’amplitude variable,thesis, ENSAM CER de Bordeaux, France, 1996.
[254] BROWN M.W., MILLER K.J., “Initiation and growth of cracks in biaxial fatigue”,Fatigue and Fracture of Engineering Materials and Structures, vol. 1, pp. 231-246, 1979.
[255] SOCIE D.F., SHIELD T.W., Transactions of the ASME, Journal Engineering Materialand Technology, vol. 106, pp. 227, 1984.
[256] LEVAILLANT C., Approche métallographique de l’endommagement d’aciers inoxydablesausténitiques sollicités en fatigue plastique ou en fluage: description et interprétationphysique des interactions fatigue-fluage-oxydation, thesis, University of Technology ofCompiègne, June 1984.
[257] SKELTON R.P., “Application of small specimen crack growth data to engineeringcomponents at high temperature: A review”, Low Cycle Fatigue, ASTM STP, vol. 942,pp. 209-235, 1988.
[258] KIAZAND R., Contribution à l’étude d’un milieu élastoplastique fissuré aux états limitesde rupture et de fatigue, doctoral thesis, Blaise Pascal University Clermont-Ferrand II,May 30,1996.
472 Fracture Mechanics and Crack Growth
[259] HAIGH J.R., SKELTON R.P., “A Strain intensity approach to high temperature fatiguecrack growth and failure”, Materials Science and Engineering, vol. 36, pp. 133-137,1978.
[260] LEJAIL Y., Etude de l’interaction fatigue-fluage dans un acier 316L SPH à 600 °C.Influence d’un temps de maintien en tension par rapport à un temps de maintien encompression sur l’amorçage et la propagation des fissures dans des éprouvettes-structures, doctoral thesis, l’Ecole des Mines de Paris, June 1991.
[261] SUH C.M., KITAGAWA H., “Crack growth behaviour of fatigue microcracks in lowcarbon steels”, Fatigue and Fracture of Engineering Materials and Structures, vol. 9,no. 6, pp. 409-424, 1987.
[262] SOLOMON H.D., “Low cycle fatigue crack propagation in 1018 steel”, Journal ofMaterial, vol. 7, no. 3, pp. 299-306, 1972.
[263] USAMI S., FUKUDA Y., SHIDA S., “Micro-crack initiation, propagation and threshold inelevated temperature inelastic fatigue”, ASME, Paper 83-PVP-97, 1983.
[264] LANKFORD J., DAVIDSON D.L., CHAN K.S., “The influence of crack tip plasticity in thegrowth of small fatigue crack”, Metallurgical and Materials Transactions A, vol. 15a,pp. 1579-1588, 1984.
[265] DOWLING N.E., BEGLEY J.A., “Fatigue crack growth during gross plasticity andJ-integral”,Mechanics of Crack Growth, ASTM STP, vol. 590, pp. 82-103, 1976.
[266] DOWLING N.E., “Crack growth during low-cycle fatigue of smooth axialspecimen”,Cyclic Stress-Strain and Plastic Deformation Aspects of Fatigue Crack Growth, ASTMSTP, vol. 637, pp. 97-121, 1977.
[267] SHIH C.F., HUTCHINSON J.W., “Fully plastic solutions and large scale yielding estimatesfor plane stress crack problems”, Journal of Engineering Materials and Technology,pp. 289-295, 1976.
[268] EL HADDAD N.H., DOWLING N.E., TOPPER T.H., SMITH K.N., “J integral applicationsfor short fatigue cracks at notches”, International Journal of Fracture, vol. 16, pp. 15-97,1988.
[269] LEIS B.N., “Fatigue crack propagation through inelastic gradient fields”, InternationalJournal of Pressure Vessel and Piping, vol. 10, pp. 141-158, 1982.
[270] RECHO N., KIAZAND R., “Statistical initial crack size distribution in the welded jointsusing Eurocode S-N curves”, Conférence Internationale sur la Fatiguedes Structures etComposants Soudés, Paris, June 12-14,1996.
[271] GROUS O., RECHO N., LASSEN T., LIEURADE H.P., “Caractéristiques mécaniques defissuration et défaut initial dans les soudures d’angles en fonction du procédé desoudage”, Conférence GAMI-SIS-CETIM-IS “La Fatigue des Composants et desStructures Soudées”, Senlis, France, November 18-19, 1992.
Bibliography 473
[272] LI J., ZHANG X.B., RECHO N., “J-Mp based criteria for bifurcation assessment of a crackin elastic-plastic materials under mixed mode I-II loading”, Engineering FractureMechanics, vol. 71, no. 3, pp. 329-343, 2004.
[273] RICHARD H.A., BENITZ K., “A loading device for the creation of mixed mode in fracturemechanics”, International Journal of Fractures, vol. 22, pp. R55, 1983.
[274] AOKI S., KISHIMOTO K., YOSHIDA T. et al., “Elastic-Plastic fracture behaviour of analuminium alloy under mixed mode loading”, Journal of Mechanics and Physics ofSolids, vol. 38, pp. 195-213, 1990.
[275] SHLYANNIKOV N., “Mixed-Mode static and fatigue crack growth in central notched andcompact tension shear specimens”, American Society for Testing and Material, ASTMSTP, vol. 1359, pp. 279-294, 1999.
[276] KIM J.K., KIM C.S., “Fatigue crack growth behaviour of rail steel under mode I andmixed mode loadings”,Materials Science and Engineering, A338, p. 191-201, 2002.
[277] LEBAILLIF D., RECHO N., “Automatic crack box technique for brittle and ductile crackpropagation and bifurcation criteria”, 11th International Conference on Fracture, Turin,Italy, 2005.
[278] LEBAILLIF D., DARCIS P., RECHO N., “A residual stress crack opening approach after anoverload during fatigue”, 11th International Conference on Fracture, Turin, Italy, 2005.
[279] DARCIS P., LASSEN T., RECHO N., “Fatigue behaviour of welded joint, Part 2: Physicalmodelling of the fatigue process”,Welding Journal, vol. 85, no. 1, pp. 19-26, 2006.
[280] VERREMAN Y., NIE B., “Early development of fatigue cracking at manual fillet welds”,Fatigue & Fracture of Engineering Materials and Structures, vol. 19, no. 6, pp. 669-681,1996.
[281] BS 7910, Guidance on Methods for Assessing the Acceptability of Flaws in FusionWelded Structures, British Standards Institution (BSI), London, 2005.
[282] PANG H.L.J., A Literature Review of Stress Intensity Factor Solutions for a Weld ToeCrack in a Fillet Welded Joint, Report, no. 721, National Engineering Laboratory,Glasgow, 1991.
[283] NEWMAN J.C. JR., RAJU I.S., “Stress-intensity factor equations for cracks in threedimensional finite bodies”, in: J.C. LEWIS, G. SINES (eds), Fracture Mechanics:Fourteenth Symposium, ASTM STP791, pp. I-238-I-265, West Conshohocken, 1983.
[284] GROSS B., SRAWLEY J.E., BROWN W.F., Stress Intensity Factors for Single-edge-notchTension Specimen by Boundary Collocation of a Stress Function, NASA TechnologyNote D-2395, NASA 1964.
[285] HOBBACHER A., “Stress intensity factors of welded joints”, Engineering FractureMechanics, vol. 46, no. 2, pp. 173-182, 1993.
[286] HAYES D.J., MADDOX S.J., “The stress intensity factor of e crack at the toe of a filletweld”, The Welding Institute Research Bulletin, vol. 13, p. 1, 1972.
474 Fracture Mechanics and Crack Growth
[287] ALMAR-NÆSS A. (ed.), Fatigue Handbook, Tapir, Trondheim, 1985.
[288] LAWRENCE F.V., DIMITRAKIS S.D., MUNSE W.H., “Factors influencing weldmentfatigue”, Fatigue and Fracture, vol. 19, pp. 274-286, 1996.
[289] NIU X., GLINKA G., “The weld profile effect on the stress intensity factors inweldments”, International Journal of Fractures, vol. 35, pp. 3-20, 1987.
[290] LASSEN T., RECHO N., “Proposal for a more accurate physically based S-N curve forwelded steel joints”, International Journal of Fatigue, vol. 31, no.1, pp. 70-78, 2009.
[291] LASSEN T., RECHO N., “Appendix C”, FLAWS – Fatigue Life Analyses of WeldedStructures, pp. 395-398, ISTE Ltd, 2006.
[292] LASSEN T., DARCIS P., RECHO N., “Fatigue behaviour of welded joints – Part 1:Statistical methods for fatigue life prediction”, Welding Journal, vol. 84, pp. 183-187,2005.
[293] MADI Y., RECHO N., MATHERON P. “Low cycle fatigue of welded joints: coupledinitiation-propagation model”, Nuclear Engineering and Design, vol. 228, pp. 179-194,2004.
[294] LEE Y.B., CHUNG C.S., PARK Y.K. et al., “Effects of redistribution residual stress on thefatigue behaviour of SS330 weldment”, International Journal of Fatigue, vol. 20, no. 8,pp. 565-573, 1998.
[295] MASUBUCHI K., MARTIN D.C., “Investigation of residual stresses by use of hydrogencracking”, Welding Journal,vol. 40, 12, pp. 553-563, 1961.
[296] LIEURADE H.P., “Programmed fatigue behaviour of welded joints in steels of types E24and E36”, Colloque sur le Comportement Mécanique des Structures Soudées, Marseille,France, March 11-12,1976.
[297] BENOIT D., LIEURADE H.P., TRUCHON M., Comportement en Fatigueà Programme deJoints Soudés en Croix et de Joints Soudés bout à bout en Acier E355, IRSID report,RE482, IRSID November 1977.
[298] LABESSE-JIED F., RECHO N., “Cumul de dommage dans les joints soudés soumis à lafatigue sous chargement à amplitude variable”, Congrès de la SF2M (Société Françaisede Métallurgie et Matériaux), Dimensionnement en Fatigue des Structures – Démarche etOutils, Paris, France, June 2-3,1999.
[299] NORME NFP 22-311-9, Eurocode 3, Calcul des structures en acier et Documentd’Application Nationale – Partie 1-1: Règles générales et règles pour les bâtiments,chap. 9, ”Fatigue”, 1992.
[300] LABESSE F., RECHO N., “Geometrical stress level at the weld toe and associated localeffects”,Welding in the World, vol. 43, no. 1, pp. 23-32, 1999.
[301] HUTHER I., Prévision du comportement à la fatigue des assemblages soudés – Prise encompte de l’effet macro, microgéométrique, DU 817, thesis, Blaise Pascal UniversityClermont Ferrand II, 1996.
Bibliography 475
[302] RECHO N., Li J., LEGUILLON D., “V-notched Specimen under Mixed-Mode Fracture,International Conference on Experimental Mechanics (ICEM 13)”, Proceedings of Abstracts,pp. 199-200, Alexandroupolis, Greece, July 1-6, 2007.
[303] DONG P., “A structural stress definition and numerical implementation for fatigueanalysis of welded joints”, International Journal of Fatigue, vol. 23, pp. 865-76, 2001.
[304] CARPINTERI A., SPAGNOLI A., VANTADORI S. et al., “A multiaxial criterion for notchhigh-cycle fatigue using a critical-point method”, Engineering Fracture Mechanics,vol. 75, pp. 1864-74, 2008.
[305] KIHL D.P., SARKANI S., “Thickness effects on the fatigue strength of welded steelcruciform”, International Journal of Fatigue, vol. 19, pp. S311- S316,1997.
[306] LASSEN T., Fatigue Crack Growth in Fillet Welded CLC-Steel Plates Fabricated withDifferent Offshore Welding Procedures, Agder College of Engineering, Grimstad, Norway,1987.
[307] SHIH C.F., “Small-scale yielding analysis of mixed mode plane-strain crack problems”,ASTM STP, vol. 560, pp. 187-210, 1974.
[308] WILLIAMS M.L., “The stress around a fault or crack in dissimilar media”, Bulletin of theSeismological Society of America, vol. 49, p. 99-204, 1959.
