Specialist Durability > Durability theoretical background
References
American Society for Testing and Materials, Ed. Standard Recommended Practice for Constant-Amplitude Low-Cycle Fatigue Testing. Vol. E 606-80, ASTM, Philadelphia, 1980.
American Society for Testing and Materials, Ed. Standard Definitions of Terms Relating to Fatigue. Annual Book of ASTM Standards. Vol. E 1150-87, ASTM, Philadelphia, 1987.
Bannantine, J. A., J. J. Comer, and J. L. Handrock. Fundamentals of Metal Fatigue Analysis. Prentice Hall, 1990.
Bannantine, J. A. A Variable Amplitude Multiaxial Fatigue Life Prediction Method. Fracture Control Program Report No. 151, College of Engineering, University of Illinois at Urbana-Champaign, 1989.
Barkey, M. E., D. F. Socie, and K. J. Hsia. A Yield Surface Approach to the Estimation of Notch Strains for Proportional and Nonproportional Cyclic Loading. ASME Journal of Engineering Materials and Technology, Vol. 116, pp. 173–180, 1994.
Barkey, M. E. Calculation of Notch Strains under Multiaxial Nominal Loading. Probabilistic Aspects of Fatigue, ASTM STP511, American Society for Testing and Materials, 1972.
Bastenaire, F. A. New Method for the Statistical Evaluation of Constant Stress Amplitude Fatigue Test Results. Dissertation, Univ. of Illinois at Urbana-Champaign, 1993.
Bäumel Jr., A. and T. Seeger. Materials Data for Cyclic Loading, Supplement 1. Elsevier Science Publishers, Amsterdam, 1990.
Bäumel, A., Jr. Experimentelle und numerische Untersuchung der Schwingfestigkeit randschichtverfestigter eigenspannungsbehafteter Bauteile. Institut für Stahlbau und Werkstoffmechanik. TH Darmstadt, 1991. Dissertation, No. 49.
Bäumel, A., Jr., and T. Seeger. Thick Surface Layer Model—Life Calculations for Specimens with Residual Stress Distribution and Different Material Zones. In: G. Beck, S. Denis, A., Simon, Eds., Proceedings of the 2nd International Conference on Residual Stresses, ICRS 2, Nancy, France, 23–25. November 1988, S. 809–814, Elsevier Science Publishers, London, New York, 1989.
Bergmann, J. W. Zur Betriebsfestigkeitsbemessung gekerbter Bauteile auf der Grundlage der örtlichen Beanspruchungen. Heft 37, Institut für Stahlbau und Werkstoffmechanik, Technische Hochschule Darmstadt, 1983, 292 S.
Beste, A. Multiaxial rainflow: A consequent continuation of Professor Tatsuo Endo’s work. In Y. Murakami, Ed., The rainflow method in fatigue. Butterworth & Heinemann, Oxford, 1992.
Bishop N.W., Sherratt F. Fatigue life prediction from power spectral density data. Part 1: Traditional approaches. Env: Eng. Pp 11–14, 1989.
Bishop N.W., Sherratt F. Fatigue life prediction from power spectral density data. Part 2: Recent approaches. Env: Eng. Pp 15–19, 1989.
Bishop N.W., Sherratt F. A theoretical solution for the estimation of rainflow ranges from power spectral density data. Fat. Frac. Eng. Mater. Struct. (13): 311–326, 1990.
Boller, Chr., and T. Seeger. Materials Data for Cyclic Loading. Volume 1–5, Elsevier Science Publishers, Amsterdam, 1987 (sold out).
Broek, D. Elementary Engineering Fracture Mechanics. Matinus Nijhoff Publishers, Boston, 1987.
Brokate, M., K. Dreßler, and P. Krejci. Rainflow Counting and Energy Dissipation for Hysteresis Models in Elastoplasticity. Eur. J. Mech. A/Solids, 15(4): 705–737, 1996.
Chaboche, J. L. and K. Dang Van, and G. Cordier. Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel. Structural Mechanics in Reactor Technology, Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Div. L, Berlin, L11/3, 1979.
Chaboche, J. L. Cyclic Plasticity Modeling and Ratcheting Effects. 2nd International Conference on Constitutive Laws for Engineering Materials: Theory and Application, Tucson, Arizona, DESAI et al. (eds.) Elsevier, p. 47, 1987.
Chaboche, J. L. On some Modifications of Kinematic Hardening to Improve the Description of Ratcheting Effects. International Journal of Plasticity, Vol. 7, pp. 661–678,1991.
Chaboche, J. L. Modeling of Ratcheting: Evaluation of Various Approaches. European Journal of Mechanics, A/Solids, Vol. 13, No. 4, 1994.
Chu, C. C. A Constitutive Model for Cyclic Creep/Relaxation. In: F. Jinghong, S. Murakami, Hrsg., Proceedings Int. Conf. On Constitutive Laws for Engineering Materials, Aug. 1989, Beijing, China, (Vol. II), S. 709–713, 1989.
Chu, C. C. The Analysis of Multiaxial Cyclic Problems with an Anisotropic Hardening Model. Int. J. Solids and Structures, 23: 567–579, 1987.
Chu, C. C. A Three-Dimensional Model of Anisotropic Hardening in Metals and its Application to the Analysis of Sheet Metal Formability. Journal of the Mechanics and Physics of Solids, Vol. 32, No. 3, pp. 197–212, 1984.
Clormann, U. H. and T. Seeger. Rainflow-HCM—Ein Zählverfahren Für Betriebsfestigkeitsnachweise auf werkstoffmechanischer Grundlage. Stahlbau, 55 (3), S. 65–71, 1986.
Coffin, L.F., Jr. A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal. Transactions of ASME, Vol. 76:931–950, 1954.
Cook, R. D. Roark’s Formulas for Stress & Strain. Sixth Edition, McGraw-Hill Book Company, New York, 1989.
Craig, R. R., Jr. Structural Dynamics. An Introduction to Computer Methods, John Wiley & Sons,1981.
Dang Van, K., Cailletaud, G., Flavenot, J. F., Le Douaron, A. and Lieurade, H. P. Criterion for High Cycle Fatigue Failure Under Multiaxial Loading. Biaxial and Multiaxial Fatigue, EGF 3 (Edited by M.W. Brown and K.J. Miller),1989, Mechanical Engineering Publications, London, pp. 459–478.
Dang Van, K., Griveau, B. and Message, O. On a New Material Fatigue Limit Criterion: Theory and Application. Biaxial and Multiaxial Fatigue, EGF 3 (Edited by M.W. Brown and K.J. Miller),1989, Mechanical Engineering Publications, London, pp. 479–496.
Dang Van, K. High Cycle Fatigue Analysis in Mechanical Design. Laboratoire de Mécanique des Solides, CNRS URA 317, Ecole Polytechnique 91128 palaiseau Cedex, France.
Dirlik T. Application of computers in fatigue analysis, PhD thesis, Warwick University, 1985.
Dowling, N. E. Fatigue Failure Predictions for Complicated Stress Strain Histories. J. Materials, 7:71–87, 1972.
Dreßler, K. and M. Hack. Fatigue Lifetime Estimation Based on Rainflow Counted Data using the Local Strain Approach. Eur: J. Mech. A/Solids, 15(6): 955–968, 1996.
Dreßler, K. R. Carmine, and W. Krüger. The Multiaxial Rainflow Method. In K. T. Rie10, editor, Low cycle fatigue and elasto-plastic behavior of materials, pages 325–330. Elsevier Science Publ., London, 1992.
Dreßler, K., M. Hack, and W. Krüger. Stochastic Reconstructing of Loading Histories from a Rainflow Matrix. Zeitschrift für ang. Math. und Mech., 77(3):217–226, 1997.
Fatemi, A., and D. F. Socie. A Critical Plane Approach to Multiaxial Fatigue Damage Including Out-of-Phase Loading. Fatigue Fract. Engng Mater. Struct., 11 (3), X. 149–165, 1988.
Garud, Y. S. Multiaxial Fatigue of Metals. Dissertation, Department of Mechanical Engineering, Stanford University, 1981.
Glinka, G. Energy Density Approach to Calculation of Inelastic Strain-Stresses Near Notches and Cracks. Eng. Frac. Mech., 22, S. 485–508, 1985.
Hack, M. and Zingsheim, F., Influence of Phasing and Cross Correlation on Random Vibration Fatigue, in Bignonnet, A. and Galtier, A.:Comportement en Fatigue sous environnement vibratoire SF2M, pp. 99–106, 2011.
Hack, M. and Zingsheim, F. New Methodologies for Efficient and Accurate Fatigue Prediction of Seam Welds, SAE Technical Paper 2013-01-1008, doi:10.4271/2013-01-1008, 2013.
Hua, C. T. and D. F. Socie. Fatigue Damage in 1045 Steel Under Variable Amplitude Biaxial Loading. Fatigue Fract. Engng Mater. Struct., 8 (2), S. 101–114, 1985.
d'Ippolito, R., Hack, M., Donders, S., Hermans, L. A reliability analysis approach to improve the fatigue life of a vehicle knuckle, 9th International Conference on Recent Advances in Structural Dynamics, Southampton, UK, 18–19 July 2006.
Jain, A., Verpoest, I., Hack, M., Lomov, S. et al. Fatigue Life Simulation on Fiber Reinforced Composites—Overview and Methods of Analysis for the Automotive Industry, SAE Int. J. Mater. Manf. 5(1):205–214, doi:10.4271/2012-01-0730, 2012.
de Jonge, J.B. The Analysis of Load-Time Histories by Means of Counting Methods. SB 80/106/U, NLR, 1980.
Jiang, Y and H. Sehitoglu. Cyclic Ratcheting of 1070 Steel under Multiaxial Stress States. Int. J. Plasticity, 10(5): 579– 608, 1994.
Jiang, Y. and H. Sehitoglu. Multiaxial Cyclic Ratcheting under Multiple Step Loading. Int. J. Plasticity, 10 (8): 849–870, 1994.
Jiang, Y. and P. Kurath. Characteristics of the Armstrong-Frederick Type Plasticity Models. International Journal of Plasticity, Vol. 12, No. 3, pp. 387–415,1996.
Jiang, Y. and H. Sehitoglu. Modeling of Cyclic Ratcheting Plasticity, Part I: Development of Constitutive Relations. ASME Journal of Applied Mechanics, Vol. 63, pp. 720–725, 1996.
Jiang, Y. and H. Sehitoglu. Modeling of Cyclic Ratcheting Plasticity, Part II: Comparison of Model Simulations With Experiments. ASME Journal of Applied Mechanics, Vol. 63, pp. 726–733, 1996.
Kienert M., Leis R. A New Structural Stress Based Approach for Spot Weld Fatigue Life Analysis, Fatigue, 2006.
Kloos, K. H.; Buch, A.; Zankov, D. Pure geometrical size effect in fatigue tests with constant stress amplitude and in programme tests. Materialwissenschaft und Werkstofftechnik, 12. Jg., Nr. 2, S. 40–50, 1981.
Köttgen, V. B., T. Olivier, and T. Seeger. The Influence of Plate Thickness on Fatigue Strength of Welded Joints, A Comparison of Experiments with Prediction by Fatigue Notch Factors. In: C. Noordhoek, J. de Back, Eds., Steel in Marine Structures, Proc. 3rd Int. ECSC Offshore Conf. In Delft NL, S. 303–313, Amsterdam, 1987. Elsevier.
Köttgen, V. B., M. E. Barkey, and D. F. Socie. Pseudo Stress and Pseudo Strain Based Approaches to Multiaxial Notch Analysis. Fatigue and Fracture of Engineering Materials and Structures, 18 (9): 981–1006, 1995.
Köttgen, V. B., M. E. Barkey, and D. F. Socie. Structural Stress-Strain Analysis of Non-Proportional Loading Suitable for FEM Postprocessing. In the conference proceedings for Fatigue Design 1995 at Helsinki, 1995.
Köttgen, V. B., M. Schön, and T. Seeger. Application of a Multiaxial Load-notch Strain Approximation Procedure to Autofrettage of Pressurized Components. In: D.L. McDowell, R. Ellis, Eds., Multiaxial Fatigue, S. 375–396, Philadelphia, 1993. American Society for Testing and Materials. STP 1191.
Köttgen V.B., Zingsheim F., Hack M., Speckert M. A New Approach for Numerical Fatigue Life Prediction of Parts or Systems with Seam Welds, JSAE-20037046/SAE 2003-01- 2772, 2003.
Landgraf, R. W. Cumulative Fatigue Damage Under Complex Strain Histories. ASTM-STP 519, 213-228, 1973.
Landgraf, R. W., J. D. Morrow and T. Engo. Determination of the Cyclic Stress-Strain Curve. Journal of Materials, 4, S. 176–188, 1969.
Lawrence, F. V. Jr., J. D. Burk, and J. Y. Yung. Influence of Residual Stress on the Predicted Fatigue Life of Weldments. In: Residual Stress Effects in Fatigue, S. 33–53, ASTM, 1982. STP 776.
Lemaitre, J., and J-L. Chaboche. Mechanics of Solid Materials. Cambridge University Press 1990.
Lubliner, J. Plasticity Theory. MacMillan Publishing Company, a division of MacMillan, Inc,1990.
Madelung, E. Über Magnetisierung durch schnellverlaufende Ströme und die Wirkungsweise des Rutherford-Marconischen Magnetdetektors. Ann.Phys., 17:861–890, 1905.
Manson, S. S. Fatigue: A Complex Subject—Some Simple Approximations. Experimental Mechanics, 5: 193–226, 1965.
Masing, G. Eigenspannungen und Verfestigung beim Messing. In: Proc. of the 2nd Int. Congress of Appl. Mech., S. p., 332– 335, 1926.
Matsuishi, M., and T. Endo. Fatigue of Metals Subjected to Varying Stress. In: Proc. Kyushu Branch of Japan. Soc of Mech. Eng., S. 37–40, 1968.
McDowell, D. L. Description on nonproportional cyclic ratcheting behavior. Eur. J. Mech. A/Solids, 13(5): 593–604, 1994.
Miller, K. J., de los Rios, E. R., Eds. Short Fatigue Cracks, London, 1992. Mechanical Engineering Publications.
Miner, M. A. Cumulative Damage in Fatigue. J. Appl. Mech., 12:A159-A164, 1945.
Morrow, J. D. Fatigue Properties of Metals. In: Fatigue Design Handbook, Chapter 3.2, Soc. of Automotive Eng., 1968.
Morrow, J. D. Cyclic Plastic Strain Energy and Fatigue of Metals. In Internal Friction, Damping, and Cyclic Plasticity, pages 45–87, ASTM, 1965.
Mróz, Z. On the Description of Anisotropic Workhardening. J. Mech. Phys. Solids, 15, S. 163–175, 1967.
Murakami, Y. Editor. The Rainflow Method in Fatigue, Oxford, 1992. Butterworth & Heinemann.
Muralidharan, U., and S. S. Manson. A Modified Universal Slopes Equation for Estimation of Fatigue Characteristics of Metals. Journal of Engineering Materials and Technology, 110, S. 55–58, 1988.
Neuber, H. Theory of Stress Concentration for Shear-Strained Prismatic Bodies with Arbitrary Nonlinear Stress-Strain Law. Trans. ASME, J. Appl. Mech, 28, S. 544–550, 1961.
Neuber, H. Über Die Berücksichtigung Der Spannungskonzentration bei Festigkeitsberechnungen. Konstruktion, 20 (7), S. 245–251, 1968.
Nihei, M., P. Heuler, Chr. Boller, and T. Seeger. Evaluation of Mean Stress Effects on Fatigue Life by use of Damage Parameters. Int. J. Fatigue, 8(3), S. 119–126, 1986.
Ohno, N. and J. D. Wang. Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part I: Formulation and Basic Features for Ratcheting Behavior. International Journal of Plasticity, Vol. 9, pp. 375–390,1993.
Palmgren, A. Die Lebensdauer von Kugellagern. VDI-Z., 68(14), S. 339–341, 1924.
Pitoiset X. Méthodes spectrales pour une analyse en fatigue des structures métalliques sous chargements aléatoires multiaxiaux, PhD Thesis ULB Bruxelles, 2001.
Prager, W. The Theory of Plasticity: A Survey of Recent Achievements. Proceedings The Institution of Mechanical Engineers Vol. 169, pp. 1955.
Prandtl, L. Ein Gedankenmadel zur kinetischen Theorie der festen Körper. Zeitschrift für ang. Math. und Mech., 8:85–106, 1928.
Radaj, D. Design and Analysis of Fatigue Resistant Welded Structures. Bington Publishing, Cambridge, UK, 1990.
Ramberg, W. and W. R. Osgood. Description of Stress-strain Curves by Three Parameters. NACA, Technical Note No. 902, 1943.
Rupp, A., K. Störzel, and V. Grubisic. Computer Aided Dimensioning of Spot Welded Automotive Structures. SAE technical report No. 950711, Detroit, Michigan, 1995.
Seeger, T. and P. Heuler. Generalized Application of Neuber's Rule. Journal Testing and Evaluation, 3 (4), s. p. 199–204, 1980.
Seeger, T., A. Beste, and H. Amstutz. Elastic-Plastic Stress-Strain Behaviour of Monotonic and Cyclic Loaded Notches Plates. Fracture 1977, Volume 2, ICF4, Waterloo, Canada, June 19–24, 1977, pp. 943–951, 1977.
Seeger, T., and A. Beste. Zur Weiterentwicklung von Näherungsformeln für die Berechnung von Kerbbeanspruchungen im elastisch-plastischen Bereich. In: Kerben und Bruch. VDI-Verlag, 1977. VDI-Fortschritt Berichte Reihe 18 Nr. 2.
Siebel, E., and M. Stieler. Ungleichförmige Spannungsverteilung bei schwingender Beanspruchung. VDI-Zeitung, 97(5): 121–126, 1955.
Smith, K.N., P. Watson, and T. H. Topper. A Stress-Strain Function for the Fatigue of Metals. J. of Materials, 5 (4), S. 767–778, 1970.
Socie, D. F. Multiaxial Fatigue Damage Models. J. Engng Mat. Techn., Trans. ASME, 109, S. 293–298, 1987.
Socie, D. F., and Marquis, G.B. Multiaxial Fatigue. Society of Automotive Engineer, 1999. ISBN 0-76800-453-5.
Society of Automotive Engineers. Fatigue Design Handbook, 2nd Edition, Rice, R. C., B. N. Leis, and D. V. Nelson Eds., SAE, Warrendale, PA, 1988.
Suresh, S. Fatigue of Materials. Cambridge University Press, New York,1991.
Vormwald, M. Anrißlebensdauervorhersage auf der Basis der Schwingbruchmechanik für kurze Risse. Institut fur Stahlbau und Werkstoffmechanik TH Darmstadt, 1989.
Vormwald, M., and T. Seeger. Crack Initiation Life Estimations for Notched Specimens with Residual Stresses Based on Local Strains. In: E. Macherauch, V. Hauk, Eds., Residual Stresses in Science and Technology, S. 743–750, DGM Informationsgesellschaft, 1987.
Wang, H. and M. E. Barkey. Strain Space Formulation of the Armstrong-Frederick Family of Plasticity Models. ASME Journal of Engineering Materials and Technology, Vol. 120, No. 3, pp. 230–235, 1998.
Wöhler, A. Über die Festigkeits-Versuche mit Eisen und Stahl. Zeitschrift für Bauwesen, XX: 73–106, 1870
Zhao W.W., Baker M.J. On the probability density function of rainflow stress range for stationary Gaussian processes. Int. J. Fatigue 14(2), pp. 121–135, 1992.
Ziegler, H. A Modification of Prager’s Hardening Rule. Quart. Appl. Math., 17, S. 55–60, 1959. Influence of Phasing and Cross Correlation on Random Vibration Fatigue.
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