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2024 | OriginalPaper | Buchkapitel

8. Strain-Based Fatigue Analysis—Low Cycle Fatigue

verfasst von : Pietro Paolo Milella

Erschienen in: Fatigue and Corrosion in Metals

Verlag: Springer International Publishing

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Abstract

Three regions were identified in Sect. 1.​2 and shown in Fig. 1.​10 as Region I, II and III concerning the fatigue strength of materials. In Sect. 2.​5 Region III pertaining fatigue limit was analyzed. In that region the stress amplitude in not high enough to propagate a micro defect even though it may have been generated. In Chap. 5 we have been discussing of Region II, the region of high cycle fatigue where load levels are low and the main component of stress is elastic, when not totally elastic. In this chapter we will examine as last the first region or Region I of low cycle fatigue where strains and, in particular, plastic strains are the dominant factor. When load levels are low, stresses and strains are linearly related by Hooke’s law. Under such conditions they are fully interchangeable. But when the plastic component cannot be neglected anymore and, indeed, prevails, stresses are no longer uniquely determined and must be put aside. Although most engineering structures and components are design such that nominal loads remain elastic, stress concentrations can easily introduce a non-negligible plastic strain component.

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Literatur
1.
Zurück zum Zitat Dowling, N.E., Brose, W.R., Wilson, W.K.: A discussion of local strain approach to notched member fatigue life prediction. Westinghouse Scientific Paper 76-1E7-PALFA-P1 (1976) Dowling, N.E., Brose, W.R., Wilson, W.K.: A discussion of local strain approach to notched member fatigue life prediction. Westinghouse Scientific Paper 76-1E7-PALFA-P1 (1976)
2.
Zurück zum Zitat Tucker, L.E., Landgraf, R.W., Brose, W.R.: SAE Report 740279, Automotive Engineering Congress (1974) Tucker, L.E., Landgraf, R.W., Brose, W.R.: SAE Report 740279, Automotive Engineering Congress (1974)
3.
4.
Zurück zum Zitat Masing, G.: Eigenspannungen und Verfestigung Brim Messing. In: Proceedings of 2nd Congress on Applied Mechanics, Zurich, pp. 332–335 (1926) Masing, G.: Eigenspannungen und Verfestigung Brim Messing. In: Proceedings of 2nd Congress on Applied Mechanics, Zurich, pp. 332–335 (1926)
5.
Zurück zum Zitat Morrow, J.D.: Internal Friction, Damping and Cyclic Plasticity. American Society for Testing and Materials, ASTM STP-378, pp. 45–87 (1965) Morrow, J.D.: Internal Friction, Damping and Cyclic Plasticity. American Society for Testing and Materials, ASTM STP-378, pp. 45–87 (1965)
6.
Zurück zum Zitat Landgraf, R.W., Morrow, J.D., Endo, T.: Determination of the cyclic stress strain curve. J. Mater. 4(1), 176–188 (1969) Landgraf, R.W., Morrow, J.D., Endo, T.: Determination of the cyclic stress strain curve. J. Mater. 4(1), 176–188 (1969)
7.
Zurück zum Zitat Martin, J.F., Topper, T.H., Sinclair, G.M.: Computer based simulation of cyclic stress-strain behavior with applications to fatigue. Mater. Res. Standards 11(2), 23–29 (1971) Martin, J.F., Topper, T.H., Sinclair, G.M.: Computer based simulation of cyclic stress-strain behavior with applications to fatigue. Mater. Res. Standards 11(2), 23–29 (1971)
8.
Zurück zum Zitat Wetzel, R.M.: A Method of Fatigue Damping Analysis, Ph.D. Thesis, Dept. of civil Eng., University of Waterloo, Ontario, Canada, 1971 and Technical report No. SR 71–107, Scientific Research Staff, Ford Motor Co., Dearborn, Michigan (1971) Wetzel, R.M.: A Method of Fatigue Damping Analysis, Ph.D. Thesis, Dept. of civil Eng., University of Waterloo, Ontario, Canada, 1971 and Technical report No. SR 71–107, Scientific Research Staff, Ford Motor Co., Dearborn, Michigan (1971)
9.
Zurück zum Zitat Basquin, O.H.: Proceedings ASTM, vol. 10, Part II, p. 625 (1910) Basquin, O.H.: Proceedings ASTM, vol. 10, Part II, p. 625 (1910)
10.
Zurück zum Zitat Coffin, L.F., Jr.: Transactions ASME, vol. 76, p. 931 (1954) Coffin, L.F., Jr.: Transactions ASME, vol. 76, p. 931 (1954)
11.
Zurück zum Zitat Tavernelli, J.F., Coffin, L.F., Jr.: Transactions ASM, vol. 51, p. 438 (1959) Tavernelli, J.F., Coffin, L.F., Jr.: Transactions ASM, vol. 51, p. 438 (1959)
12.
Zurück zum Zitat Smith, R.W., Hirschberg, M.H., Manson, S.S.: NASA TN D-1574, NASA, April (1963) Smith, R.W., Hirschberg, M.H., Manson, S.S.: NASA TN D-1574, NASA, April (1963)
13.
Zurück zum Zitat Manson, S.S., Hirschberg, M.H.: Fatigue: An Interdisciplinary Approach, Syracuse University Press, Syracuse, New York, p. 133 (1964) Manson, S.S., Hirschberg, M.H.: Fatigue: An Interdisciplinary Approach, Syracuse University Press, Syracuse, New York, p. 133 (1964)
14.
Zurück zum Zitat Landgraf, R.W., Morrow, J.D.: Achievement of High Fatigue Resistance in Metals and Alloys, ASTM STP-467, p. 3 (1970) Landgraf, R.W., Morrow, J.D.: Achievement of High Fatigue Resistance in Metals and Alloys, ASTM STP-467, p. 3 (1970)
15.
Zurück zum Zitat Tucker, L., Bussa, S.: The SAE Cumulative Fatigue Damage Test Program, Society of Automotive Engineers, Paper no. 750038, Automotive Engineering Congress exposition, Detroit, February (1965) Tucker, L., Bussa, S.: The SAE Cumulative Fatigue Damage Test Program, Society of Automotive Engineers, Paper no. 750038, Automotive Engineering Congress exposition, Detroit, February (1965)
16.
Zurück zum Zitat Milella, P.P., Pelilli, G. Traficante, M.: Comportamento a Fatica di un Acciaio AISI 316, (in Italian), ENEA, Rapporto QE00-1ET4B-84004-TBA, Roma, Aprile (1984) Milella, P.P., Pelilli, G. Traficante, M.: Comportamento a Fatica di un Acciaio AISI 316, (in Italian), ENEA, Rapporto QE00-1ET4B-84004-TBA, Roma, Aprile (1984)
17.
Zurück zum Zitat Landgraf, R.W.: High Fatigue Resistance in Metals and Alloys, American Society for Testing and Materials, ASTM STP 776, pp. 33–43 (1982) Landgraf, R.W.: High Fatigue Resistance in Metals and Alloys, American Society for Testing and Materials, ASTM STP 776, pp. 33–43 (1982)
18.
Zurück zum Zitat Terrell, J.B., Cullen, W.H.: Fatigue Life Response of ASME SA 106 B Steel in Pressurized Water Reactor Environments. In: Proceedings of the Third IAEA Specialist’s Meeting on Subcritical Crack Growth, Moscow, USNRC NUREG/CP-0112 (1990) Terrell, J.B., Cullen, W.H.: Fatigue Life Response of ASME SA 106 B Steel in Pressurized Water Reactor Environments. In: Proceedings of the Third IAEA Specialist’s Meeting on Subcritical Crack Growth, Moscow, USNRC NUREG/CP-0112 (1990)
19.
Zurück zum Zitat Morrow, J.D.: Cyclic Plastic Strain Energy and Fatigue of Metals. International Friction, Damping and Cyclic Plasticity, ASTM, West Conshohocken, PA, pp. 45–86 (1965) Morrow, J.D.: Cyclic Plastic Strain Energy and Fatigue of Metals. International Friction, Damping and Cyclic Plasticity, ASTM, West Conshohocken, PA, pp. 45–86 (1965)
20.
Zurück zum Zitat Morrow, J.D.: Fatigue Design Handbook, section 3.2, SAE Advances in Engineering, vol. 4, pp. 21–29 (1968) Morrow, J.D.: Fatigue Design Handbook, section 3.2, SAE Advances in Engineering, vol. 4, pp. 21–29 (1968)
21.
Zurück zum Zitat Manson, S.S., Halford, G.R.: Practical Implementation of the Double Linear Damage Rule and Damage Curve Approach for Treating Cumulative Fatigue Damage. Int. J. Fracture 17(2), 169–172, R35–R42 (1981) Manson, S.S., Halford, G.R.: Practical Implementation of the Double Linear Damage Rule and Damage Curve Approach for Treating Cumulative Fatigue Damage. Int. J. Fracture 17(2), 169–172, R35–R42 (1981)
22.
Zurück zum Zitat Walcher, J., Gary, D., Manson, S.S.: Aspects of Cumulative Fatigue Damage Analysis of Cold End Rotating Structures. AIAA Paper 79–1190 (1979) Walcher, J., Gary, D., Manson, S.S.: Aspects of Cumulative Fatigue Damage Analysis of Cold End Rotating Structures. AIAA Paper 79–1190 (1979)
23.
Zurück zum Zitat Smith, K.N., Watson, P., Topper, T.H., A Stress-Strain Function for the Fatigue of Metals. J. Mater. 5(4), 767–778 (1970) Smith, K.N., Watson, P., Topper, T.H., A Stress-Strain Function for the Fatigue of Metals. J. Mater. 5(4), 767–778 (1970)
24.
Zurück zum Zitat Fash, J.W., Socie, D.F.: Fatigue Behavior and Mean Effects in Gray Cast Iron. Int. J. Fatigue 4(3), 137–142 (1982) Fash, J.W., Socie, D.F.: Fatigue Behavior and Mean Effects in Gray Cast Iron. Int. J. Fatigue 4(3), 137–142 (1982)
25.
Zurück zum Zitat Koh, S.K., Stephens, R.I.: Mean stress Effects on Low Cycle Fatigue for High strength Steels. Fatigue Fract. Eng. Mater. Struct. 14(4), 413–428 (1991) Koh, S.K., Stephens, R.I.: Mean stress Effects on Low Cycle Fatigue for High strength Steels. Fatigue Fract. Eng. Mater. Struct. 14(4), 413–428 (1991)
26.
Zurück zum Zitat Wener, T., Fatemi, A.: Effect of Mean Stress on Fatigue Behavior of Hardened Carbon Steel. Int. J. Fatigue 13(3), 241–248 (1991) Wener, T., Fatemi, A.: Effect of Mean Stress on Fatigue Behavior of Hardened Carbon Steel. Int. J. Fatigue 13(3), 241–248 (1991)
27.
Zurück zum Zitat Forsetti, P., and Blasarin, A.: Fatigue Behavior of Microalloyed Steels for Hot forged Mechanical Componentes. Int. J. Fatigue 10(3), 153–161 (1988) Forsetti, P., and Blasarin, A.: Fatigue Behavior of Microalloyed Steels for Hot forged Mechanical Componentes. Int. J. Fatigue 10(3), 153–161 (1988)
28.
Zurück zum Zitat Mechanical Behavior of Materials, 2nd Edition by Dowling, Pearson Education, Inc. (1998) Mechanical Behavior of Materials, 2nd Edition by Dowling, Pearson Education, Inc. (1998)
29.
Zurück zum Zitat Stadnick, S.J., Morrow, J.: Technique for Smooth specimen Simulation of the Fatigue Behavior of Notched Members. ASTM-STP 515, pp. 229–252 (1972) Stadnick, S.J., Morrow, J.: Technique for Smooth specimen Simulation of the Fatigue Behavior of Notched Members. ASTM-STP 515, pp. 229–252 (1972)
30.
Zurück zum Zitat Crews, J.H. Jr.: Crack Initiation at Stress Concentration as Influenced by Prior Local Plasticity. Achievement of High Fatigue Resistance in Metals and Alloys. ASTM-STP 467, p. 37 (1970) Crews, J.H. Jr.: Crack Initiation at Stress Concentration as Influenced by Prior Local Plasticity. Achievement of High Fatigue Resistance in Metals and Alloys. ASTM-STP 467, p. 37 (1970)
31.
Zurück zum Zitat Neuber, H.: Theory of Notch Stresses-Principles for Exact Stress Calculation. Julius Spring, Berlin, 1937. Translated and published by J.W. Edwards, Publishers, Incorporated, Ann Arbor, Mi (1946) Neuber, H.: Theory of Notch Stresses-Principles for Exact Stress Calculation. Julius Spring, Berlin, 1937. Translated and published by J.W. Edwards, Publishers, Incorporated, Ann Arbor, Mi (1946)
32.
Zurück zum Zitat Neuber, H.: Theory of Notch Stresses: Principles for Exact Calculation with Reference to Structural Form and Strength. 2nd Edn. Springer-Verlag, Berlin, 1958. Translated and issued as AEC-TR-4547 by the US Office of Technical Information (1961) Neuber, H.: Theory of Notch Stresses: Principles for Exact Calculation with Reference to Structural Form and Strength. 2nd Edn. Springer-Verlag, Berlin, 1958. Translated and issued as AEC-TR-4547 by the US Office of Technical Information (1961)
33.
Zurück zum Zitat Wetzel, R.M.: Smooth specimen Simulation of the Fatigue Behavior of Notches. J. Mater. 3(3), 646–657 (1968) Wetzel, R.M.: Smooth specimen Simulation of the Fatigue Behavior of Notches. J. Mater. 3(3), 646–657 (1968)
34.
Zurück zum Zitat Topper, T.H., Wetzel, R.M., Morrow, J.: Neuber Rule Applied to Fatigue of Notched Specimens. J. Mater. 4(1), 200–209 (1969) Topper, T.H., Wetzel, R.M., Morrow, J.: Neuber Rule Applied to Fatigue of Notched Specimens. J. Mater. 4(1), 200–209 (1969)
35.
Zurück zum Zitat Lüdwick, P.Z., Ver. Dent. Ing (1926) Lüdwick, P.Z., Ver. Dent. Ing (1926)
36.
Zurück zum Zitat Manjoine, M.J.: Multiaxial Stress and Fracture. Fracture, vol. 3, Eng. Fund. and Environm. Effects, New York, Academic Press (1970) Manjoine, M.J.: Multiaxial Stress and Fracture. Fracture, vol. 3, Eng. Fund. and Environm. Effects, New York, Academic Press (1970)
37.
Zurück zum Zitat Davis, E.A., Connelly, F.M.: Stress Distribution and Plastic Deformation in Rotating Cylinders of Strain-hardening materials. ASME, J. Appl. Mech. 25–30 (1959) Davis, E.A., Connelly, F.M.: Stress Distribution and Plastic Deformation in Rotating Cylinders of Strain-hardening materials. ASME, J. Appl. Mech. 25–30 (1959)
38.
Zurück zum Zitat Milella, P.P.: Meccanica della Frattura Lineare Elastica ed Elastoplastica (in Italian). Ansaldo Nucleare Edithor, p. 71 (1999) Milella, P.P.: Meccanica della Frattura Lineare Elastica ed Elastoplastica (in Italian). Ansaldo Nucleare Edithor, p. 71 (1999)
39.
Zurück zum Zitat Milella, P.P., Bonora, N.: On the Dependence of the Weibull Exponent on Geometry and Loading Conditions and Its Implications on the Fracture Toughness Probability Curve Using a Local Approach Criterion. Int. J. Fracture, Kluwer Acad. Publishers, vol. 104, pp. 71–87 (2000) Milella, P.P., Bonora, N.: On the Dependence of the Weibull Exponent on Geometry and Loading Conditions and Its Implications on the Fracture Toughness Probability Curve Using a Local Approach Criterion. Int. J. Fracture, Kluwer Acad. Publishers, vol. 104, pp. 71–87 (2000)
40.
Zurück zum Zitat Wilson, W.K.: Elastic-Plastic Analysis of Blunt Notched CT Specimens and Applications. J. Press Vessel Technol. 96(4), 293–298 (1974) Wilson, W.K.: Elastic-Plastic Analysis of Blunt Notched CT Specimens and Applications. J. Press Vessel Technol. 96(4), 293–298 (1974)
41.
Zurück zum Zitat Huang, W.C.: Theoretical Study of Stress Concentrations of Circular Holes and Inclusion in Strain Hardening Materials: Int. J. Solids Struct. 8(2), 135–136, July (1972) Huang, W.C.: Theoretical Study of Stress Concentrations of Circular Holes and Inclusion in Strain Hardening Materials: Int. J. Solids Struct. 8(2), 135–136, July (1972)
42.
Zurück zum Zitat Saanouni, K., Bathias, C.: Study of Fatigue Crack Initiation in the Vicinity of Notches. Eng. Fract. Mech. 16(5), 695–706 (1982) Saanouni, K., Bathias, C.: Study of Fatigue Crack Initiation in the Vicinity of Notches. Eng. Fract. Mech. 16(5), 695–706 (1982)
43.
Zurück zum Zitat Leis, B.N., Gowda, C.V.B. and Topper, T.H.: Cyclic Inelastic Deformation and the fatigue Notch Factor. Cyclic Stress-Strain Behavior—Analysis, Experimentation and Failure prediction. American Society for Testing and Materials, ASTM STP 519 Leis, B.N., Gowda, C.V.B. and Topper, T.H.: Cyclic Inelastic Deformation and the fatigue Notch Factor. Cyclic Stress-Strain Behavior—Analysis, Experimentation and Failure prediction. American Society for Testing and Materials, ASTM STP 519
44.
Zurück zum Zitat Walker, E.K.: Multiaxial Stress-Strain Approximation for Notch Fatigue Behavior. J. Test. Eval. 5(2), 106–113, March (1977) Walker, E.K.: Multiaxial Stress-Strain Approximation for Notch Fatigue Behavior. J. Test. Eval. 5(2), 106–113, March (1977)
45.
Zurück zum Zitat Maiya, P.S.: Effects of Notches on Crack Initiation in Low Cycle Fatigue. Mater. Sci. Eng. 38, 289–294 (1979) Maiya, P.S.: Effects of Notches on Crack Initiation in Low Cycle Fatigue. Mater. Sci. Eng. 38, 289–294 (1979)
46.
Zurück zum Zitat Lowrence, F.V., Burk, J.V., Jung, J.Y.: Influence of Residual stress on the Predicted Fatigue Life of Weldments. ASTM STP 776 Residual Stress in Fatigue. West Conshohocken, PA, pp. 33–43 (1982) Lowrence, F.V., Burk, J.V., Jung, J.Y.: Influence of Residual stress on the Predicted Fatigue Life of Weldments. ASTM STP 776 Residual Stress in Fatigue. West Conshohocken, PA, pp. 33–43 (1982)
47.
Zurück zum Zitat Reemsnayder, H.S.: Evaluating the Effects of Residual Stresses of Unnotched Fatigue Resistance. Society of Environmental Engineers, Buntinford, U.K (1981) Reemsnayder, H.S.: Evaluating the Effects of Residual Stresses of Unnotched Fatigue Resistance. Society of Environmental Engineers, Buntinford, U.K (1981)
48.
Zurück zum Zitat Seeger, T., Heuler, P.: Generalized Application of Neber’s Rule. J. Test. Eval. 8(4), 199–204, July (1980) Seeger, T., Heuler, P.: Generalized Application of Neber’s Rule. J. Test. Eval. 8(4), 199–204, July (1980)
Metadaten
Titel
Strain-Based Fatigue Analysis—Low Cycle Fatigue
verfasst von
Pietro Paolo Milella
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-51350-3_8

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