Unilateral effect in plastic fatigue with micromechanical approach

International Journal of Damage Mechanics

Volumn 8, Issue 4, 1999, Pages 316-338

  Abdul Latif, A ^a  

^a UNIVERSITÉ PARIS 8   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLOGRAPHY; DEFECTS; FATIGUE OF MATERIALS; MATHEMATICAL MODELS; NUMERICAL METHODS; PLASTICS; STRAIN;

CRYSTALLOGRAPHIC SLIP SYSTEMS; LOW CYCLE FATIGUE; MICROMECHANICAL MODEL; PLASTIC FATIGUE;

COMPOSITE MICROMECHANICS;

EID: 0033308279     PISSN: 10567895     EISSN: None     Source Type: Journal    
DOI: 10.1177/105678959900800403     Document Type: Article

References (81)

1. Abdul-Latif, A., 1994, "Approches Multi-échelles pour la Description de l'Anélasticité avec Endommagement," Thèse de Doctorat, Université de Technologie de Compiègne.
2. Abdul-Latif, A. and Saanouni, K., 1994, "Damaged Anelastic Behavior of FCC Poly-crystalline Metals with Micromechanical Approach," Int. J. Damage Mech., 3, 237.
3. Abdul-Latif, A., Clavel, M., Ferney, V. and Saanouni, K., 1994, "On the Modeling of Nonproportional Cyclic Plasticity of Waspaloy," ASME J. Engng. Mater. Techn., 116, 35.
4. Abdul-Latif, A., 1996, "Constitutive Equations for Cyclic Plasticity of Waspaloy," Int. J. Plasticity, 12, 967.
5. Abdul-Latif, A. and Saanouni, K., 1996, "Micromechanical Modeling of Low Cycle Fatigue under Complex Loadings - Part II. Applications," Int. J. Plasticity, 12, 1123.
6. Abdul-Latif, A. and Saanouni, K., 1997, "Effect of Some Parameters on the Plastic Fatigue Behavior with Micromechanical Approach," Int. J. Damage Mech., 6, 433.
7. Abdul-Latif, A., Dingli, J. Ph. and Saanouni, K., 1998, "Modeling of Complex Cyclic Inelasticity in Heterogeneous Polycrystalline Microstructure," J. Mech. Mater., 30, 287-305.
8. Abdul-Latif, A., Ferney, V. and Saanouni, K., 1999, "Fatigue Damage of the Waspaloy underComplex Loading," ASME, J. Engng. Mater. Techn., 121, 278-285.
9. Abel, A., Wilhelm, M. and Gerold, V., 1979, Mat. Sci. Eng., 37, 187-200.
10. Andrieux, S., Bamberger, Y. and Mango, J. J., 1986, "Un Modèle de Matériau Microfissuré pour les Bétons et les Roches," J. Mécanique Théorique et Appliquée. 471.
11. Blackmon, D. R., Socie, D. F. and Leckie, F. A., 1983, "Application of Continuum Damage Concepts to Creep-Fatigue Interactions," ASME Symp. on Thermal and Environmental Effects on Fatigue, Portland, pp. 45.
12. Benallel, A. and Marquis, D., 1987, "Constitutive Equations for Nonproportional Cyclic Elasto-Viscoplasticity," ASME, J. Engng. Mater. Techn., 109, 326.
13. Berveiller, M. and Zaoui, A., 1979, "An Extension of the Self-Consistent Scheme to Plasticity Flowing Polycrystals," J. Mech. Phys. Solids, 26, 325.
14. Boettner, R. C., Stoloff, N. S. and Davies, R. G., 1966, Trans. AIME, 236, 131.
15. Browen, M. W. and Miller, K. J., 1973, "A Theory for Fatigue under Multiaxial Stress-Strain Conditions," Proc. Inst. Mech. Engineers, 187, 745.
16. Cailletaud, G., 1992, "A Micromechanical Approach to Inelastic Behaviour of Metals," Int. J. Plasticity, 8, 55.
17. Chaboche, J. L., 1977, "Viscoplastic Constitutive Equations for Description of Cyclic and Anisotropic Behavior of Metals," Bull. de l'Acad. Polonaise des Sciences, Serie Sci. et Tech., 25, 33.
18. Chaboche, J. L., 1992a, "Damage Induced Anisotropy: on Difficulties Associated with the Active/Passive Unilateral Condition," Int. J. Damage Mech., 1, 148.
19. Chaboche, J. L., 1992b, "Une Nouvelle Condition Unilatérale pour Décrire le Comportement des Matériaux avec Dommage Anisotrope," C. R. Acad. Sci. Paris, t. 314, Série II, pp. 1395.
20. Chaboche, J. L., 1993, "Development of Continuum Damage Mechanics for Elastic Solids Sustaining Anisotropic and Unilateral Damage," Int. J. Damage Mech., 3, 311.
21. Clavel, M., Pilvin, P. and Rahouadj, R., 1989, "Analyse Microstructurale de la Déformation Plastique sous Sollicitations Non Proportionnelles dans un Alliage Base Nickel," C. R. Acad. Sci. Paris, 309, 689.
22. Cordebois, J. P. and Sidoroff, F., 1979, "Damage Induced Elastic Anisotropy," Colloque Euromech 155, Villard de Lans, France.
23. Dang Van, K., 1973, "Sur la Resistance à la Fatigue des Materiaux," Sciences et Techniques de l'Armement, 47, Mémorial de l'Artillerie Française, 3ème Fascicule.
24. Dang Van, K., Cailletaud, G., Flavenot, J. F., Le Douaron, A. and Lieurade, H. P., 1984, "Critère d'Amorçage en Fatigue à Grand Nombre de Cycles sous Sollicitations Multiaxiales," Journées Internationales de Printemps, Société Française de Métallurgie, Paris.
25. Dang Van, K., Griveau, B. and Message, O., 1985a, "On the New Multiaxial Fatigue Criterion: Theory and Application," 2nd Int. Conf. on Biaxial/Multiaxial Fatigue, Sheffield, U.K.
26. Dang Van, K., Cailletaud, G., Flavenot, J. F., Le Douaron, A. and Lieurade, H. P., 1985b, "Criterion for High Cycle Fatigue under Multiaxial Loading," 2nd Int. Conf. on Biaxial/Multiaxial Fatigue, Sheffield, U.K.
27. Dang Van, K., and Papadopoulos, Y. V., 1987, "Multiaxial Fatigue Criterion," Proc. Third Int. Conf. Fatigue and Fatigue Thresholds, Fatigue 87, University of Virginia, Charlottesville, Virginia, USA.
28. Doong, S. H. and Socie, D. F., 1991, "Constitutive Modeling of Metals under Nonproportional Cyclic Loading," ASME, J. Engng. Mater. Techn., 113, 23.
29. Doquet, V., 1989, "Comportement et Endommagement de Deux Aciers à Structure Cubique Centrée et Cubique à Faces Centrées, en Fatigue Oligocyclique, sous Chargement Multiaxial Non-Proportionnel," Thèse de Doctorat, Ecole Nationale Supérieure des Mines de Paris.
30. Dragon, A., Cormery, F., Désoyer, T. and Halm, D., 1994, "Localized Failure Analysis Using Damage Models," in Localization and Bifurcation Theory for Soils and Rocks, eds. Chambon, R. et al., Balkema, pp. 127.
31. Fatemi, A. and Kurath, P., 1988, "Multiaxial Fatigue Life Prediction under the Influence of Mean-Stresses," ASME J. Engng. Mater. Techn., 110, 380.
32. Ferney, V., 1994, "Etude de l'Ecrouissage Cyclique sous Sollicitations Complexes," Thèse de Doctorat de l'Université de Technologie de Compiègne.
33. Finney, J. M. and Laird, C. 1975, Phil. Mag., 31, 339-366.
34. Forsyth, P. J. E., 1953, Nature, 171, 192.
35. Franciosi, P., 1978, "Plasticité à Froid des Monocristaux C.F.C.: Etude du Durcissement Latent," Thèse d'état, Univ. of Paris XIII.
36. Garud, Y. S., 1981, "Multiaxial Fatigue: A Survey of the State of the Art," J. Testing and Evaluation, 9, 165.
37. Germain, P., Nguyen, Q. S. and Suquet, P., 1983, "Continuum Thermodynamics," J. Appl. Mech., 105, 1010.
38. Halm, D. and Dragon, A., 1996, "A Model of Anisotropic Damage by Mesocrack Growth; Unilateral Effect," Int. J. Damage Mech., 5, 384.
39. Hansen, N. R. and Schreyer, H. L., 1995, "Damage Deactivation," ASME, J. Appl. Mech., 62, 450.
40. Ju, J. W., 1989, "On Energy-Based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects," Int. J. Solids Structures, 25, 803.
41. Ju, J. W., 1990, "Isotropic and Anisotropic Damage Variables in Continuum Damage Mechanics," J. Engng. Mechanics, 116, 2764.
42. Kanazawa, K., Miller, K. J. and Brown, M. W., 1977, "Low Cycle Fatigue under Out-of-Phase Loading Condition," ASME, J. Engng. Mater. Techn., 99, 222.
43. Krempl, E., 1974, "The Influence of State of Stress on Low-Cycle Fatigue of Structural Materials: A Literature Survey and Interpretive Report," ASTM STP 549, ASTM, Philadelphia, pp. 46.
44. Krempl, E. and Lu, H., 1984 "The Hardening and Rate Dependent Behavior of Fully Annealed AISI Type 304 Stainless Steel under Biaxial in Phase and Ou̇t-of-Phase Strain Cyclic at Room Temperature," ASME, J. Eng. Mater. Techn., 106, 376.
45. Ladevèze, P. and Lemaitre, J., 1984, "Damage Effective Stress in Quasi-unilateral Material Conditions," IUTAM Congress, Lyngby, Denmark.
46. Ladevèze, P., Gasser, A. and Allix, O., 1994, "Damage Mechanics Modelling for Ceramic Composites," ASME, J. Engng. Mater. Techn., 116, 331.
47. Lemaitre, J. and Chaboche, J. L., 1985, "Mécanique des Matériaux Solides," Dunod, Bordas, Paris.
48. Lerch, B. A., Jayaraman, N. and Antolovich, S. D., 1984, "A Study of Fatigue Damage Mechanisms in Waspaloy from 25 to 80°C," Mater. Sci. Engng., 66, 151.
49. Lienard, C., 1989, "Plasticité Couplée à l'Endommagement en Conditions Quasi-unilaterales pour la Prévision de l'Amorçage des Fissures," Thèse de Doctorat, Univ. Paris VI.
50. Lin, T. H. and Ito, Y. M., 1969, "Mechanics of Fatigue Crack Nucleation Mechanism," J. Mech. Phys. Solids, 17, 511.
51. Lubarda, V. Krajcinovic, D. and Mastilovic, S., 1994, "Damage Model for Brittle Elastic Solids with Unequal Tensile and Compression Strengths," Eng. Fract. Mech., 49, 681.
52. Mazars, J. and Pijaudier-Cabot, G., 1989, "Continuum Damage Theory - Application to Concrete," J. of Engineering Mechanics, 115, 345.
53. McClung, R. C. and Sehitoglu, H., 1988, "Closure Behavior of Small Cracks under High Strain Fatigue Histories," ASTM STP 982, Philadelphia, pp. 279-299.
54. McDowell, D. L., 1985, "A Two Surfaces Model for Transient Nonproportional Cyclic Plasticity: Part 2 - Comparison of Theory with Experiments," ASME, J. Appl. Mech., 52, 303.
55. McDowell, D. L., 1987, "An Evaluation of Recent Development in Hardening and Flow Rules for Rate-independent Nonproportional Cyclic Plasticity," ASME, J. Appl. Mech., 54, 323.
56. McDowell, D. L., Stock, S. R. Stahl, D. and Antolovich, S. D., 1988, "Biaxial Path Dependence of Deformation Substructure of Type 304 Stainless Steel," 19, 1277-1293.
57. Meric, J., Poubanne, P. and Cailletaud, G., 1991, "Single Crystal Modeling for Structure Calculation: Part I - Model Presentation," ASME, J. Engng. Mater. Techn., 113, 162.
58. Molinari, A., Ahzi, S. and Kouddane, R., 1997, "On the Self-consistent Modeling of Elasto-plastic Behavior of Polycrystals," Mech. Mater., 26, 43.
59. Moosbrugger, J. C. and McDowell, D. L., 1989, "On a Class of Kinematic Hardening Rules for Nonproportional Cyclic Plasticity," ASME, J. Engng. Mater. Techn., 111, 87.
60. Moosbrugger, J. C. and McDowell, D. L., 1990, "A Rate-dependent Bounding Surface Model with a Generalized Image Point for Nonproportional Cyclic Plasticity," J. Mech. Phys. Solids. 38, 627.
61. Mott, N. E., 1958, "A Theory of the Origin of Fatigue Cracks," Acta Metall., 6, 159.
62. Mughrabi, H., 1978, "The Cyclic Hardening and Saturation Behavior of Copper Single Crystals," Mat. Sci. Eng., 33, 207-223.
63. Mughrabi, H., Ackermann, F. and Herz, K., 1979, "In Fatigue Mechanisms," Proc. of ASTM-NBS-NSF Symposium, May 22-24, 1978, Kansas City, Missouri. ASTM-STP 675, 96-105.
64. Mughrabi, H., 1980, "Microscopic Mechanisms of Metal Fatigue," Proc. 5th Int. Conf. on Strength of Metals and Alloys, Aachen, 1979, eds. P. Hansen, V. Gerold and G. Kostorz, Pergamon Press, Oxford, 3, 1615-1638.
65. Mughrabi, H., 1981, in Proc. 4th Int. Conf. on Continuum Models of Discrete Systems, Stockholm, eds. Brulin, O. and Hshieh, R. K. T., North-Holland, Amsterdam, pp. 241.
66. Mughrabi, H., 1983, "Dislocation Wall and Cell Structures and Long-range Internal Stresses in Deformed Metal Crystals," Acta. Met., 31, 1367-1379.
67. Mura, T., 1982, "Micromechanics of Defects in Solids," Martinus Nijhoff Publishers.
68. Neumann, P., 1983, "Fatigue," in Cahn, R. W. and Haasen, P. (eds.). Physical Metallurgy, Elsevier Science Publishers BV, Amsterdam.
69. Newman, J. C., Jr., 1994, "A Review of Modelling Small-Cracks Behavior and Fatigue-Life Predictions for Aluminum Alloys," Fatigue Fract. Engng. Mater. Struct., 17(4), 429-439.
70. Ortiz, M., 1985, "A Constitutive Theory for the Inelastic Behavior of Concrete," Mechanics of Materials, 4, 67.
71. Parsons, M. W. and Pascoe, K. L., 1976, "Observations of Surface Deformation, Crack Initiation and Crack Growth in Low-cycle Fatigue under Biaxial Stress," Mat. Sci. Engng., 22, 31.
72. Pilvin, P., 1990, "Approches Multiéchelles pour la Prévision du Comportement Anélastique des Métaux," Thèse de Doctorat. Univ. Paris VI.
73. Pineau, A., 1979, "Sollicitation Cyclique des Alliages Durcis par Précipitation, Dislocations et Déformation Plastique," Yravals, Les Editions de Physique, pp. 383-393.
74. Ramtani, S., 1990, "Contribution à la Modélisation du Comportement Multiaxial du Béton Endommagé avec Description un Caractère Unilatéral," Thèse de Doctorat, Université Paris VI.
75. Saanouni, K. and Abdul-Latif, A., 1996, "Micromechanical Modeling of Low Cycle Fatigue under Complex Loadings - Part I. Theoretical Formulations," Int. J. Plasticity, 12, 1111.
76. Saanouni, K., Forster, Ch. and Benhatira, F., 1994, "On the Anelastic Flow with Damage," Int. J. Damage Mech., 3, 140.
77. Simo, J. C. and Ju, J. W., 1987, "Strain- and Stress-Based Continuum Damage Models - Parts I and II," J. Solids Struct., 23, 821 and 841.
78. Tanaka, K. and Mura, T., 1981, "A Dislocation Model for Fatigue Crack Initiation," ASME, J. Appl. Mech., 48, 97.
79. Venkataraman, G., Chung, Y. M., Nakasone, Y. and Mura, T., 1990, "Free Energy Formulation of Fatigue Crack Initiation along Persistent Slip Bands: Calculation of S-N Curves and Crack Depth," Acta Metalt., 6, 31.
80. Yazdani, S. and Schreycr, H. L., 1990, "Combined Plasticity and Damage Mechanics Model for Plain Concrete," ASCE, J. Eng. Mechanics, 116, 1435.
81. Yazdani, S. and Karnawat, S., 1997, "Mode I Damage Modeling in Brittle Preloading," Int. J. Damage Mech., 6, 153.