A unified equation for creep-fatigue

•Coffin–Manson equation Δεp=CoN-βo is a special case of a unified creep-fatigue equation, Δεp=Cos(σ)c(T,f)N-βob(T,f).•The stress function s(σ) incorporates the stress-characteristic of creep.•The creep functions c(T, f) and b(T, f) embody the time-temperature characteristic of creep.•At the referenc...

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Published inInternational journal of fatigue Vol. 68; pp. 186 - 194
Main Authors Wong, E.H., Mai, Y.-W.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 2014
Elsevier
Subjects
Applied sciences
Brazing. Soldering
Creep
Creep (materials)
Creep-fatigue
Economic conditions
Exact sciences and technology
Fatigue
Fatigue (materials)
Fatigue equation
Joining, thermal cutting: metallurgical aspects
Life prediction
Mathematical analysis
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals. Metallurgy
Solder
Solder
Life prediction
Fatigue equation
Fatigue
Creep-fatigue
Lifetime
Creep
Prediction
Mechanical properties
Soldering
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Abstract •Coffin–Manson equation Δεp=CoN-βo is a special case of a unified creep-fatigue equation, Δεp=Cos(σ)c(T,f)N-βob(T,f).•The stress function s(σ) incorporates the stress-characteristic of creep.•The creep functions c(T, f) and b(T, f) embody the time-temperature characteristic of creep.•At the reference condition when creep is dormant, s(σ)=c(T, f)=b(T, f)=1, the Coffin–Manson equation is recovered. “Pure fatigue” is a special case of creep-fatigue; and the Coffin–Manson equation, Δεp=CoN-βo, is a special case of the general creep-fatigue equation, which is proposed to take the form: Δεp=Cos(σ)c(T,f)N-βob(T,f). The functions, s(σ),c(T, f) and b(T, f), embody the stress–time–temperature characteristic of creep. At the reference condition when creep is dormant, s(σ)=c(T, f)=b(T, f)=1, the Coffin–Manson equation is recovered. At the extreme condition when c(T, f)=0, creep-rupture occurs without fatigue. In between these two extreme conditions whence 0⩽c(T, f)⩽1, creep-fatigue prevails.
AbstractList •Coffin–Manson equation Δεp=CoN-βo is a special case of a unified creep-fatigue equation, Δεp=Cos(σ)c(T,f)N-βob(T,f).•The stress function s(σ) incorporates the stress-characteristic of creep.•The creep functions c(T, f) and b(T, f) embody the time-temperature characteristic of creep.•At the reference condition when creep is dormant, s(σ)=c(T, f)=b(T, f)=1, the Coffin–Manson equation is recovered. “Pure fatigue” is a special case of creep-fatigue; and the Coffin–Manson equation, Δεp=CoN-βo, is a special case of the general creep-fatigue equation, which is proposed to take the form: Δεp=Cos(σ)c(T,f)N-βob(T,f). The functions, s(σ),c(T, f) and b(T, f), embody the stress–time–temperature characteristic of creep. At the reference condition when creep is dormant, s(σ)=c(T, f)=b(T, f)=1, the Coffin–Manson equation is recovered. At the extreme condition when c(T, f)=0, creep-rupture occurs without fatigue. In between these two extreme conditions whence 0⩽c(T, f)⩽1, creep-fatigue prevails.
"Pure fatigue" is a special case of creep-fatigue; and the Coffin-Manson equation, [Delta][varepsilon] sub()p= C sub(o)u- beta o is a special case of the general creep-fatigue equation, which is proposed to take the form: [Delta][varepsilon] sub()p= C sub(o)s([sigma])c(T,[functionof])N super(- beta ) obT[functionof] The functions, s([sigma]), c(T,[functionof]) and b(T,[functionof]), embody the stress-time-temperature characteristic of creep. At the reference condition when creep is dormant, s([sigma]) = c(T,[functionof]) = b(T,[functionof]) = 1, the Coffin-Manson equation is recovered. At the extreme condition when c(T, [functionof]) = 0, creep-rupture occurs without fatigue. In between these two extreme conditions whence 0 =, c(T,[functionof]) =, 1, creep-fatigue prevails.
Author Wong, E.H.
Mai, Y.-W.
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Cites_doi 10.1016/S0142-1123(98)00056-5
10.1016/S0026-2714(99)00061-X
10.1115/1.2929024
10.1007/s11664-008-0403-x
10.1016/S0142-1123(02)00011-7
10.1115/1.1413764
10.1115/1.2906412
10.1243/PIME_PROC_1935_131_012_02
10.1016/0022-5096(55)90054-5
10.1016/j.ijfatigue.2013.09.016
10.1016/S0142-1123(99)00124-3
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Keywords Solder
Life prediction
Fatigue equation
Fatigue
Creep-fatigue
Lifetime
Creep
Prediction
Mechanical properties
Soldering
Language English
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References Majumder S, Maiya PS. A damage equation for creep-fatigue interaction. In: Proc. ASME-MPC symposium on creep/fatigue interaction, MPC-3, New York; 1976.
Manson SS. Behavior of materials under conditions of thermal stress, Technical Report NACA-TR-1170 (1954), National Advisory Committee for Aeronautics.
Ainsworth, Ruggles, Takahashi (b0120) 1992; 114
Dorn (b0175) 1955; 3
Ross, Wen (b0015) 1993
Ostergren WJ. Correlation of hold time effects in elevated temperature fatigue using a frequency modified damage function. In: Proc. ASME-MPC symposium on creep/fatigue interaction, MPC-3, New York; 1976.
Wong, Selvanayagam, Seah, van Driel, Caers, Zhao (b0180) 2008; 37
(b0005) 1991
(b0010) 1991
Larson, Miller (b0160) 1952; 74
Palmgren (b0085) 1924; 68
Manson SS, Halford GR, Hirschbery MH. Creep-fatigue analysis by strain range partitioning. In: Proc. ASME-MPC symposium on creep/fatigue interaction, MPC-3, New York; 1976.
Basquin (b0030) 1910; 10
Engelmaier (b0140) 1983; 6
Robison (b0090) 1938; 60
Goswami (b0045) 1999; 21
Taira (b0080) 1962
Shi, Pang, Zhou, Wang (b0150) 2000; 22
Coffin (b0035) 1954; 76
Manson SS, Haferd AM. A linear time-temperature relation for extrapolation of creep and stress-rupture data, NACA TN 2890; 1953.
Coffin LF Jr. The concept of frequency separation in life prediction for time-dependent failure. In: Proc. ASME-MPC symposium on creep/fatigue interaction, MPC-3, New York; 1976.
Dowling (b0055) 2012
Wong, Seah, Caers, Lai (b0185) 2014; 59
Wöhler (b0025) 1955; 5
Bird, Mukherjee, Dorn (b0065) 1969
Liang, Golhardt, Lee, Heinrich, Schroeder (b0075) 1997
Goldhoff (b0095) 1965
Kanchanomai, Miyashita, Mutoh (b0155) 2002; 24
Bailey (b0170) 1935; 131
Hertzbery (b0050) 1996
Penny, Marriott (b0060) 1995
Zhuang WZ, Swansson NS, Thermo-mechanical fatigue life prediction – a critical review, DSTO-TR-0609, 1998.
Beres, W. Mechanics of materials failure, RTO-TR-28-Appendix 3, NATO Research and Technology Organisation, 2000.
Solomon (b0145) 1991
Lee, Nguyen, Selvaduray (b0020) 2000; 40
Dasgupta, Oyan, Barker, Pecht (b0115) 1992; 114
Darveaux (b0125) 2002; 124
Penny (10.1016/j.ijfatigue.2014.05.004_b0060) 1995
10.1016/j.ijfatigue.2014.05.004_b0105
Ainsworth (10.1016/j.ijfatigue.2014.05.004_b0120) 1992; 114
Liang (10.1016/j.ijfatigue.2014.05.004_b0075) 1997
Wong (10.1016/j.ijfatigue.2014.05.004_b0180) 2008; 37
Shi (10.1016/j.ijfatigue.2014.05.004_b0150) 2000; 22
10.1016/j.ijfatigue.2014.05.004_b0165
Bailey (10.1016/j.ijfatigue.2014.05.004_b0170) 1935; 131
10.1016/j.ijfatigue.2014.05.004_b0100
Basquin (10.1016/j.ijfatigue.2014.05.004_b0030) 1910; 10
Taira (10.1016/j.ijfatigue.2014.05.004_b0080) 1962
Larson (10.1016/j.ijfatigue.2014.05.004_b0160) 1952; 74
10.1016/j.ijfatigue.2014.05.004_b0040
Palmgren (10.1016/j.ijfatigue.2014.05.004_b0085) 1924; 68
Coffin (10.1016/j.ijfatigue.2014.05.004_b0035) 1954; 76
(10.1016/j.ijfatigue.2014.05.004_b0010) 1991
Goldhoff (10.1016/j.ijfatigue.2014.05.004_b0095) 1965
(10.1016/j.ijfatigue.2014.05.004_b0005) 1991
Robison (10.1016/j.ijfatigue.2014.05.004_b0090) 1938; 60
Wöhler (10.1016/j.ijfatigue.2014.05.004_b0025) 1955; 5
Dowling (10.1016/j.ijfatigue.2014.05.004_b0055) 2012
Wong (10.1016/j.ijfatigue.2014.05.004_b0185) 2014; 59
10.1016/j.ijfatigue.2014.05.004_b0110
Kanchanomai (10.1016/j.ijfatigue.2014.05.004_b0155) 2002; 24
Lee (10.1016/j.ijfatigue.2014.05.004_b0020) 2000; 40
10.1016/j.ijfatigue.2014.05.004_b0130
Dasgupta (10.1016/j.ijfatigue.2014.05.004_b0115) 1992; 114
10.1016/j.ijfatigue.2014.05.004_b0135
Dorn (10.1016/j.ijfatigue.2014.05.004_b0175) 1955; 3
Goswami (10.1016/j.ijfatigue.2014.05.004_b0045) 1999; 21
Solomon (10.1016/j.ijfatigue.2014.05.004_b0145) 1991
Darveaux (10.1016/j.ijfatigue.2014.05.004_b0125) 2002; 124
Engelmaier (10.1016/j.ijfatigue.2014.05.004_b0140) 1983; 6
Ross (10.1016/j.ijfatigue.2014.05.004_b0015) 1993
10.1016/j.ijfatigue.2014.05.004_b0070
Hertzbery (10.1016/j.ijfatigue.2014.05.004_b0050) 1996
Bird (10.1016/j.ijfatigue.2014.05.004_b0065) 1969
References_xml – year: 1996
  ident: b0050
  article-title: Deformation and fracture mechanics of engineering materials
  contributor:
    fullname: Hertzbery
– volume: 74
  start-page: 765
  year: 1952
  end-page: 771
  ident: b0160
  article-title: A time-temperature relationship for rupture and creep stresses
  publication-title: Trans ASME
  contributor:
    fullname: Miller
– year: 1962
  ident: b0080
  article-title: Creep in structures
  contributor:
    fullname: Taira
– volume: 124
  start-page: 147
  year: 2002
  ident: b0125
  article-title: Effects of simulation methodology on solder joint crack growth correlation and faituge life prediction
  publication-title: Trans ASME J Electron Packag
  contributor:
    fullname: Darveaux
– volume: 21
  start-page: 55
  year: 1999
  end-page: 76
  ident: b0045
  article-title: Low cycle fatigue—dwell effects and damage mechanisms
  publication-title: Int J Fatigue
  contributor:
    fullname: Goswami
– volume: 3
  start-page: 85
  year: 1955
  end-page: 116
  ident: b0175
  article-title: Some fundamental experiments on high temperature creep
  publication-title: J Mech Phys Solids
  contributor:
    fullname: Dorn
– volume: 60
  start-page: 253
  year: 1938
  end-page: 259
  ident: b0090
  article-title: Effect of temperature variations on the creep strength of steels
  publication-title: Trans ASME
  contributor:
    fullname: Robison
– volume: 22
  start-page: 217
  year: 2000
  end-page: 228
  ident: b0150
  article-title: Low cycle fatigue analysis of temperature and frequency effects in eutectic solder alloy
  publication-title: Int J Fatigue
  contributor:
    fullname: Wang
– volume: 40
  start-page: 231
  year: 2000
  end-page: 244
  ident: b0020
  article-title: Solder joint fatigue models: review and applicability to chip scale packages
  publication-title: Microelectron Reliab
  contributor:
    fullname: Selvaduray
– start-page: 86
  year: 1965
  ident: b0095
  article-title: Uniaxial creep – rupture behaviour of low alloy steel under variable loading conditions
  publication-title: J Basic Engng
  contributor:
    fullname: Goldhoff
– year: 1991
  ident: b0010
  publication-title: Solder mechanics-a state of the art assessment
– year: 1993
  ident: b0015
  article-title: Solder creep-fatigue interactions with flexible leaded surface mount components, chapter in thermal stress and strain in microelectronics packaging
  contributor:
    fullname: Wen
– volume: 5
  start-page: 121
  year: 1955
  end-page: 166
  ident: b0025
  article-title: Theorie rechteckiger eiserner Brückenbalken mit Gitterwänden und mit Blechwänden
  publication-title: Zeitschrift für Bauwesen
  contributor:
    fullname: Wöhler
– year: 2012
  ident: b0055
  article-title: Mechanical behaviour of materials
  contributor:
    fullname: Dowling
– volume: 131
  year: 1935
  ident: b0170
  article-title: The utilistaiton of creep test data in engineering design
  publication-title: Proc I Mech E
  contributor:
    fullname: Bailey
– volume: 6
  start-page: 232
  year: 1983
  end-page: 237
  ident: b0140
  article-title: Hybrids and manufacturing technology
  publication-title: IEEE Trans Compo
  contributor:
    fullname: Engelmaier
– volume: 76
  year: 1954
  ident: b0035
  article-title: A study of cyclic thermal stresses in a ductile metal
  publication-title: Trans ASME
  contributor:
    fullname: Coffin
– year: 1991
  ident: b0145
  article-title: Predicting thermal and mechanical fatigue life from isothermal low cycle data
  publication-title: Solder joint reliability: theory and application
  contributor:
    fullname: Solomon
– volume: 59
  start-page: 43
  year: 2014
  end-page: 49
  ident: b0185
  article-title: Frequency-dependent strain–life characteristics of Sn1.0Ag0.1Cu solder on cupper pad at high cyclic frequency
  publication-title: Int J Fatigue
  contributor:
    fullname: Lai
– year: 1969
  ident: b0065
  article-title: Correlations between high-temperature creep behaviour and structure
  contributor:
    fullname: Dorn
– year: 1991
  ident: b0005
  publication-title: Solder joint reliability: theory and application
– volume: 68
  start-page: 339
  year: 1924
  end-page: 341
  ident: b0085
  article-title: Die Lebensdauer von Kugellagern
  publication-title: Zeitschrift des Vereines Deutscher Ingenieure
  contributor:
    fullname: Palmgren
– year: 1995
  ident: b0060
  article-title: Design for creep
  contributor:
    fullname: Marriott
– volume: 24
  start-page: 987
  year: 2002
  end-page: 993
  ident: b0155
  article-title: Strain-rate effects on low cycle fatigue mechanism of eutectic Sn–Pb solder
  publication-title: Int J Fatigue
  contributor:
    fullname: Mutoh
– volume: 10
  start-page: 625
  year: 1910
  end-page: 630
  ident: b0030
  article-title: The exponential law of endurance tests
  publication-title: Proc Annu Meeting ASTM
  contributor:
    fullname: Basquin
– volume: 114
  start-page: 166
  year: 1992
  end-page: 170
  ident: b0120
  article-title: Flaw assessment procedure for high temperature reactor components
  publication-title: J Pressure Vessel Technol
  contributor:
    fullname: Takahashi
– volume: 37
  start-page: 829
  year: 2008
  end-page: 836
  ident: b0180
  article-title: Stress–strain characteristics of tin-based solder alloys for drop-impact modelling
  publication-title: J Electron Mater
  contributor:
    fullname: Zhao
– start-page: 1583
  year: 1997
  end-page: 1592
  ident: b0075
  article-title: A integrated fatigue life prediction methodology for optimum design and reliability assemssment of solder integ-connections
  publication-title: Proc Int Intersoc Electron Photonic Packag
  contributor:
    fullname: Schroeder
– volume: 114
  start-page: 52
  year: 1992
  end-page: 60
  ident: b0115
  article-title: Solder creep-fatigue analysis by an energy-partitioning approach
  publication-title: Trans ASME J Electron Packag
  contributor:
    fullname: Pecht
– ident: 10.1016/j.ijfatigue.2014.05.004_b0100
– start-page: 86
  year: 1965
  ident: 10.1016/j.ijfatigue.2014.05.004_b0095
  article-title: Uniaxial creep – rupture behaviour of low alloy steel under variable loading conditions
  publication-title: J Basic Engng
  contributor:
    fullname: Goldhoff
– volume: 21
  start-page: 55
  year: 1999
  ident: 10.1016/j.ijfatigue.2014.05.004_b0045
  article-title: Low cycle fatigue—dwell effects and damage mechanisms
  publication-title: Int J Fatigue
  doi: 10.1016/S0142-1123(98)00056-5
  contributor:
    fullname: Goswami
– year: 1962
  ident: 10.1016/j.ijfatigue.2014.05.004_b0080
  contributor:
    fullname: Taira
– ident: 10.1016/j.ijfatigue.2014.05.004_b0110
– year: 1991
  ident: 10.1016/j.ijfatigue.2014.05.004_b0005
– year: 2012
  ident: 10.1016/j.ijfatigue.2014.05.004_b0055
  contributor:
    fullname: Dowling
– ident: 10.1016/j.ijfatigue.2014.05.004_b0105
– year: 1991
  ident: 10.1016/j.ijfatigue.2014.05.004_b0010
– volume: 40
  start-page: 231
  year: 2000
  ident: 10.1016/j.ijfatigue.2014.05.004_b0020
  article-title: Solder joint fatigue models: review and applicability to chip scale packages
  publication-title: Microelectron Reliab
  doi: 10.1016/S0026-2714(99)00061-X
  contributor:
    fullname: Lee
– ident: 10.1016/j.ijfatigue.2014.05.004_b0070
– start-page: 1583
  year: 1997
  ident: 10.1016/j.ijfatigue.2014.05.004_b0075
  article-title: A integrated fatigue life prediction methodology for optimum design and reliability assemssment of solder integ-connections
  publication-title: Proc Int Intersoc Electron Photonic Packag
  contributor:
    fullname: Liang
– volume: 114
  start-page: 166
  year: 1992
  ident: 10.1016/j.ijfatigue.2014.05.004_b0120
  article-title: Flaw assessment procedure for high temperature reactor components
  publication-title: J Pressure Vessel Technol
  doi: 10.1115/1.2929024
  contributor:
    fullname: Ainsworth
– volume: 5
  start-page: 121
  year: 1955
  ident: 10.1016/j.ijfatigue.2014.05.004_b0025
  article-title: Theorie rechteckiger eiserner Brückenbalken mit Gitterwänden und mit Blechwänden
  publication-title: Zeitschrift für Bauwesen
  contributor:
    fullname: Wöhler
– volume: 68
  start-page: 339
  year: 1924
  ident: 10.1016/j.ijfatigue.2014.05.004_b0085
  article-title: Die Lebensdauer von Kugellagern
  publication-title: Zeitschrift des Vereines Deutscher Ingenieure
  contributor:
    fullname: Palmgren
– volume: 37
  start-page: 829
  year: 2008
  ident: 10.1016/j.ijfatigue.2014.05.004_b0180
  article-title: Stress–strain characteristics of tin-based solder alloys for drop-impact modelling
  publication-title: J Electron Mater
  doi: 10.1007/s11664-008-0403-x
  contributor:
    fullname: Wong
– year: 1995
  ident: 10.1016/j.ijfatigue.2014.05.004_b0060
  contributor:
    fullname: Penny
– year: 1993
  ident: 10.1016/j.ijfatigue.2014.05.004_b0015
  article-title: Solder creep-fatigue interactions with flexible leaded surface mount components, chapter in thermal stress and strain in microelectronics packaging
  contributor:
    fullname: Ross
– volume: 24
  start-page: 987
  year: 2002
  ident: 10.1016/j.ijfatigue.2014.05.004_b0155
  article-title: Strain-rate effects on low cycle fatigue mechanism of eutectic Sn–Pb solder
  publication-title: Int J Fatigue
  doi: 10.1016/S0142-1123(02)00011-7
  contributor:
    fullname: Kanchanomai
– ident: 10.1016/j.ijfatigue.2014.05.004_b0040
– year: 1969
  ident: 10.1016/j.ijfatigue.2014.05.004_b0065
  article-title: Correlations between high-temperature creep behaviour and structure
  contributor:
    fullname: Bird
– volume: 10
  start-page: 625
  year: 1910
  ident: 10.1016/j.ijfatigue.2014.05.004_b0030
  article-title: The exponential law of endurance tests
  publication-title: Proc Annu Meeting ASTM
  contributor:
    fullname: Basquin
– ident: 10.1016/j.ijfatigue.2014.05.004_b0130
– volume: 6
  start-page: 232
  year: 1983
  ident: 10.1016/j.ijfatigue.2014.05.004_b0140
  article-title: Hybrids and manufacturing technology
  publication-title: IEEE Trans Compo
  contributor:
    fullname: Engelmaier
– year: 1996
  ident: 10.1016/j.ijfatigue.2014.05.004_b0050
  contributor:
    fullname: Hertzbery
– volume: 124
  start-page: 147
  year: 2002
  ident: 10.1016/j.ijfatigue.2014.05.004_b0125
  article-title: Effects of simulation methodology on solder joint crack growth correlation and faituge life prediction
  publication-title: Trans ASME J Electron Packag
  doi: 10.1115/1.1413764
  contributor:
    fullname: Darveaux
– ident: 10.1016/j.ijfatigue.2014.05.004_b0135
– volume: 60
  start-page: 253
  year: 1938
  ident: 10.1016/j.ijfatigue.2014.05.004_b0090
  article-title: Effect of temperature variations on the creep strength of steels
  publication-title: Trans ASME
  contributor:
    fullname: Robison
– volume: 114
  start-page: 52
  year: 1992
  ident: 10.1016/j.ijfatigue.2014.05.004_b0115
  article-title: Solder creep-fatigue analysis by an energy-partitioning approach
  publication-title: Trans ASME J Electron Packag
  doi: 10.1115/1.2906412
  contributor:
    fullname: Dasgupta
– year: 1991
  ident: 10.1016/j.ijfatigue.2014.05.004_b0145
  article-title: Predicting thermal and mechanical fatigue life from isothermal low cycle data
  contributor:
    fullname: Solomon
– volume: 76
  year: 1954
  ident: 10.1016/j.ijfatigue.2014.05.004_b0035
  article-title: A study of cyclic thermal stresses in a ductile metal
  publication-title: Trans ASME
  contributor:
    fullname: Coffin
– volume: 131
  year: 1935
  ident: 10.1016/j.ijfatigue.2014.05.004_b0170
  article-title: The utilistaiton of creep test data in engineering design
  publication-title: Proc I Mech E
  doi: 10.1243/PIME_PROC_1935_131_012_02
  contributor:
    fullname: Bailey
– volume: 74
  start-page: 765
  year: 1952
  ident: 10.1016/j.ijfatigue.2014.05.004_b0160
  article-title: A time-temperature relationship for rupture and creep stresses
  publication-title: Trans ASME
  contributor:
    fullname: Larson
– volume: 3
  start-page: 85
  year: 1955
  ident: 10.1016/j.ijfatigue.2014.05.004_b0175
  article-title: Some fundamental experiments on high temperature creep
  publication-title: J Mech Phys Solids
  doi: 10.1016/0022-5096(55)90054-5
  contributor:
    fullname: Dorn
– ident: 10.1016/j.ijfatigue.2014.05.004_b0165
– volume: 59
  start-page: 43
  year: 2014
  ident: 10.1016/j.ijfatigue.2014.05.004_b0185
  article-title: Frequency-dependent strain–life characteristics of Sn1.0Ag0.1Cu solder on cupper pad at high cyclic frequency
  publication-title: Int J Fatigue
  doi: 10.1016/j.ijfatigue.2013.09.016
  contributor:
    fullname: Wong
– volume: 22
  start-page: 217
  year: 2000
  ident: 10.1016/j.ijfatigue.2014.05.004_b0150
  article-title: Low cycle fatigue analysis of temperature and frequency effects in eutectic solder alloy
  publication-title: Int J Fatigue
  doi: 10.1016/S0142-1123(99)00124-3
  contributor:
    fullname: Shi
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Snippet •Coffin–Manson equation Δεp=CoN-βo is a special case of a unified creep-fatigue equation, Δεp=Cos(σ)c(T,f)N-βob(T,f).•The stress function s(σ) incorporates the...
"Pure fatigue" is a special case of creep-fatigue; and the Coffin-Manson equation, [Delta][varepsilon] sub()p= C sub(o)u- beta o is a special case of the...
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StartPage 186
SubjectTerms Applied sciences
Brazing. Soldering
Creep
Creep (materials)
Creep-fatigue
Economic conditions
Exact sciences and technology
Fatigue
Fatigue (materials)
Fatigue equation
Joining, thermal cutting: metallurgical aspects
Life prediction
Mathematical analysis
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals. Metallurgy
Solder
Title A unified equation for creep-fatigue
URI https://dx.doi.org/10.1016/j.ijfatigue.2014.05.004
https://search.proquest.com/docview/1629351555
https://search.proquest.com/docview/1678018128
Volume 68
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